HOME plateWON | World!OfNumbers Palindromic Sums ofSquares of Consecutive Integers Sums of Odd/Even Squares Sums of Cubes Sums of Primes Sums of Powers Various Palindromic Sums

Introduction

Palindromic numbers are numbers which read the same from
left to right (forwards) as from the right to left (backwards)
Here are a few random examples : 535, 3773, 246191642

 Sums of Squares of TWO Consecutive Integers Sums of Squares of THREE Consecutive Integers Sums of Squares of FOUR Consecutive Integers Sums of Squares of FIVE Consecutive Integers Sums of Squares of SIX Consecutive Integers Sums of Squares of SEVEN Consecutive Integers Sums of Squares of EIGHT Consecutive Integers Sums of Squares of NINE Consecutive Integers Sums of Squares of TEN Consecutive Integers Sums of Squares of ELEVEN Consecutive Integers

 PLAIN TEXT SUMSQUARE

Palindromic Sums of Squares

 Case Sumsquare Change of variables CUDApalin parameters Base Correction 2 terms n.a. `A B C →  2 2 1 ` base = CUDAbase 3 terms n.a. `A B C →  3 6 5 ` base = CUDAbase 4 terms n.a. `A B C →  4 12 14 ` base = CUDAbase 5 terms n.a. `A B C →  5 20 30 ` base = CUDAbase 6 terms n.a. `A B C →  6 30 55 ` base = CUDAbase 7 terms n.a. `A B C →  7 42 91 ` base = CUDAbase 8 terms n.a. `A B C →  8 56 140 ` base = CUDAbase 9 terms n.a. `A B C →  9 72 204 ` base = CUDAbase 10 terms n.a. `A B C →  10 90 285 ` base = CUDAbase 11 terms n.a. `A B C →  11 110 385 ` base = CUDAbase

The sequence for parameter 'A' is 2, 3, 4, 5, ... [+ 1]
The 'B' CUDApalin parameters are given by A002378 Oblong (or promic, pronic, or heteromecic) numbers: a(n) = n*(n+1).
The 'C' CUDApalin parameters are given by A000330 Square pyramidal numbers: a(n) = 0^2 + 1^2 + 2^2 + ... + n^2 = n*(n+1)*(2*n+1)/6.

Sums of TWO squared consecutives of the form 2*x^2 + 2*x + 1 can only start or end with a 1, 3 or 5.
1 can only be followed by an even number : 10, 12, 14, 16 or 18
3 can only be followed by 1 : 31
5 can only be followed by an even number : 50, 52, 54, 56 or 58
There are no palindromic sums of squares of type [SUSQ2] of EVEN lengths nor of ODD lengths 5, 9, 37, 39, 43.

Sums of THREE squared consecutives of the form 3*x^2 + 6*x + 5 can only start or end with a 0, 2, 4, 5, 7 or 9.
Alas, my palindromes may not have leading 0's! So the zero option must not be investigated.
2 can only be followed by a 0 : 20
4 can only be followed by an odd number : 41, 43, 45, 47 or 49
5 can only be followed by an even number : 50, 52, 54, 56 or 58
7 can only be followed by a 7 : 77
9 can only be followed by an even number : 90, 92, 94, 96 or 98
There are no palindromic sums of squares of type [SUSQ3] of lengths 5, 8, 17, 24, 25, 26, 30, 32, 34, 36, 38, 41, 43, 46, 47, 49, 53.

Sums of FOUR squared consecutives of the form 4*x^2 + 12*x + 14 can only start or end with a 0, 4 or 6.
Alas, my palindromes may not have leading 0's! So the zero option must not be investigated.
4 can only be followed by an odd number : 41, 43, 45, 47 or 49
6 can only be followed by an even number : 60, 62, 64, 66 or 68
There are no palindromic sums of squares of type [SUSQ4] of EVEN lengths nor of ODD lengths 1, 3, 7, 11, 13, 21, 25, 33, 51.

Sums of FIVE squared consecutives of the form 5*x^2 + 20*x + 30 can only start or end with a 0 or 5.
Alas, my palindromes may not have leading 0's! So the zero option must not be investigated.
5 can only be followed by an odd number : 51, 53, 55, 57 or 59
There are no palindromic sums of squares of type [SUSQ5] of lengths 1, 3, 4, 7, {10 up to 19}, 20, 21, 24, 25, 26, 30, 31, {33 up to 38}, 40, 41, 43, {45 up to 51}, 54, 55.

Sums of SIX squared consecutives of the form 6*x^2 + 30*x + 55 can only start or end with a 1, 5 or 9.
1 can only be followed by an odd number : 11, 13, 15, 17 or 19
5 can only be followed by 5 : 55
9 can only be followed by an odd number : 91, 93, 95, 97 or 99
There are no palindromic sums of squares of type [SUSQ6] of lengths 1, 3, 5, 7, 12, 14, 15, {17 up to 25}, 35, 36, 42, 43, 51.

Sums of SEVEN squared consecutives of the form 7*x^2 + 42*x + 91 can only start or end with a 0, 1, 3, 5, 6 or 8.
Alas, my palindromes may not have leading 0's! So the zero option must not be investigated.
1 can only be followed by an odd number : 11, 13, 15, 17 or 19
3 can only be followed by 0 : 30
5 can only be followed by an odd number : 51, 53, 55, 57 or 59
6 can only be followed by an odd number : 61, 63, 65, 67 or 69
8 can only be followed by 2 : 82
There are no palindromic sums of squares of type [SUSQ7] of EVEN lengths nor of ODD lengths 1, {7 up to 13}, {19 up to 27}, 31, 39, 43, 47, 49.

Sums of EIGHT squared consecutives of the form 8*x^2 + 56*x + 140 can only start or end with a 0, 2 or 4.
Alas, my palindromes may not have leading 0's! So the zero option must not be investigated.
2 can only be followed by 9 : 29
4 can only be followed by an even number : 40, 42, 44, 46 or 48
There are no palindromic sums of squares of type [SUSQ8] of lengths {1 up to 4}, 6, 8, 10, 12, 14, 16, 18, 22, {24 up to 26}, 28, 30, 34, 38, 41, 42, 44, 46, {50 up to 52}, 54, 55.

Sums of NINE squared consecutives of the form 9*x^2 + 72*x + 204 can only start or end with a 0, 1, 4, 5, 6 or 9.
Alas, my palindromes may not have leading 0's! So the zero option must not be investigated.
1 can only be followed by an even number : 10, 12, 14, 16 or 18
4 can only be followed by an even number : 40, 42, 44, 46 or 48
5 can only be followed by 8 : 58
6 can only be followed by an odd number : 61, 63, 65, 67 or 69
9 can only be followed by an even number : 90, 92, 94, 96 or 98
There are no palindromic sums of squares of type [SUSQ9] of EVEN lengths nor of ODD lengths 1, 5, {13 up to 19}, 23, {39 up to 49}, 53.

Sums of TEN squared consecutives of the form 10*x^2 + 90*x + 285 can only start or end with a 5.
5 can only be followed by an even number : 50, 52, 54, 56 or 58
There are no palindromic sums of squares of type [SUSQ10] of lengths 1, 2, 4, 5 6, 8, 9, 10, {12 up to 16}, 19, 22, 23, {26 up to 30}, {33 up to 36}, 38, 40, 42, 45, 46, 48, 50, {52 up to 54}.

Sums of ELEVEN squared consecutives of the form 11*x^2 + 110*x + 385 can only start or end with a 0, 1, 4, 5, 6 or 9.
Alas, my palindromes may not have leading 0's! So the zero option must not be investigated.
1 can only be followed by an even number : 10, 12, 14, 16 or 18
4 can only be followed by an odd number : 41, 43, 45, 47 or 49
5 can only be followed by 8 : 58
6 can only be followed by an even number : 60, 62, 64, 66 or 68
9 can only be followed by an even number : 90, 92, 94, 96 or 98
There are no palindromic sums of squares of type [SUSQ11] of lengths 1, 2, 3, 5, 9, 15, 19, 21, 29, 33, 35, 37, 41, 37, 44, 45, 47, 55.

A palindromic coincidence occurred with Five Consecutive Integers or is there a pattern ?

99 + 100 + 101 + 102 + 103 = 505
992 + 1002 + 1012 + 1022 + 1032 = 51015

10099 + 10100 + 10101 + 10102 + 10103 = 50505
100992 + 101002 + 101012 + 101022 + 101032 = 510151015

Two equations like 'number'-pregnancy. The children are the numbers 1981 and 699.
112 + 122 + 132 = 434
1198112 + 1198122 + 1198132 = 43064746034

372 + 382 + 392 = 4334
369972 + 369982 + 369992 = 4106556014

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Messages

 [ August 1, 2005 ]Jean Claude Rosa (email)[ goto entry ] Cher Patrick, voici les numéros 39 et 40 qui hélas ne sont pas premiers (le numéro 39 a 5 facteurs premiers mais le numéro 40 est un semi-prime -un "vrai"- avec un facteur de 15 chiffres et un autre de 17 chiffres ): numéro 39 : 1682059335368470748635339502861 = 29 * 109 * 35935429 * 206697457 * 71640539617 9170766967294692 + 9170766967294702 numéro 40: 3167016920841776771480296107613 = 113665666219493 * 27862564186498841 12583753257358822 + 12583753257358832 Voilà c'est tout pour les palindromes de la forme 1... ...1 ou 3... ...3 de 31 chiffres. J'ai commencé à chercher ceux de la forme 5... ...5 . Pour espérer trouver un palprime il faut donc s'attaquer aux nombres de 33 chiffres ( vraiment dur, dur ! ). A bientôt, JCR [ September 6, 2005 ]Jean Claude Rosa (email)[ goto entry ] Cher Patrick, voici le numéro 41 : 5450871426137276727316241780545 = 16508893703300162 + 16508893703300172 C'est le dernier des palindromes de 31 chiffres ! J'ai donc commencé la recherche des palindromes de 33 chiffres mais cela risque de prendre pas mal de temps... A bientôt. Kind regards. JCR [ September 15, 2006 ]Jean Claude Rosa (email)[ goto entry ] Cher Patrick, ca y est ! J'ai enfin trouvé le numéro 42. Le voici : 316370934175751979157571439073613 = 125771804108820822 + 125771804108820832 mais hélas il n'est pas premier (4 facteurs ) et comme j'ai fini l'étude des palindromes de la forme 31...13 pour trouver la cinquième solution du puzzle 14 il faudra étudier les nombres de 35 chiffres... Je ne sais pas si j'aurai le temps et le courage ! Je vais quand même essayer de finir l'étude des palindromes de 33 chiffres de la forme 5... ...5. JCR [ October 14, 2006 ]Jean Claude Rosa (email)[ goto entry ] Cher Patrick, ... et je viens de trouver le numéro 43. Le voici: 501263304966749757947669403362105 = 158313503051184762 + 158313503051184772 Voilà, c'est tout pour aujourd'hui... J'espère arriver un jour au numéro 50 ;-) JCR [ May 21, 2007 ]Jean Claude Rosa (email)[ goto entry ] Cher Patrick, Ca y est ! J'ai enfin trouvé le numéro 44. Le voici : 562318868215014101410512868813265 = 167678094606155112 + 167678094606155122 Amitiés. JCR [ January 12, 2008 ]Jean Claude Rosa (email)[ goto entry ] Cher Patrick, ... avec un peu de retard voici le numéro 45 : 588186547187469040964781745681885 = 171491478970161812 + 171491478970161822 Best regards. JCR [ February 17, 2009 ]Jean Claude Rosa (email)[ goto entry ] Cher Patrick, Voilà dejà un an que je n'ai pas eu de tes nouvelles ( le temps passe... ) mais j'attendais de trouver le numéro 46 pour t'écrire. Ca y est ! mais hélas il n'est pas premier (petite consolation c'est un semi-prime !). Le voici : 10489844562990321812309926544898401 = 2344709 * 4473836438974014179290447789 724218356678092002 + 724218356678092012 A bientôt. JCR

Sources Revealed

Huen Y.K. from Singapore developed a general generating function for palindromic sums and products
of consecutive integers using concise programcode written for Macsyma 2.2.1.
Global Generating Function For Palindromic Sums and Products of Consecutive Integers.

 Neil Sloane's “Integer Sequences” Encyclopedia can be consulted online : Neil Sloane's Integer Sequences The regular numbers of form n2 + (n+1)2 [sums of two squared consecutives] : %N Centered square numbers: 2n(n-1)+1. under A001844. The subsets in relation to the palindromic and prime numbers of above form : %N n^2 + (n+1)^2 is palindromic. under A027571. %N Palindromes of form n^2 + (n+1)^2. under A027572. %N n^2 + (n+1)^2 is prime. under A027861. %N Primes of form n^2 + (n+1)^2. under A027862. The regular numbers of form n2 + (n+1)2 + (n+2)2 [sums of three squared consecutives] : %N Points on surface of square pyramid: 3*n^2 + 2. under A005918. The subsets in relation to the palindromic and prime numbers of above form : %N n^2 + (n+1)^2 + (n+2)^2 is palindromic. under A027573. %N Palindromes of form n^2 + (n+1)^2 + (n+2)^2. under A027574. %N n^2 + (n+1)^2 + (n+2)^2 is prime. under A027863. %N Primes of form n^2 + (n+1)^2 + (n+2)^2. under A027864. The regular numbers of form n2 + (n+1)2 + (n+2)2 + (n+3)2 [sums of four squared consecutives] : %N n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2. under A027575. The subsets in relation to the palindromic numbers of above form : %N n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 is palindromic. under A027576. %N Palindromes of form n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2. under A027577. The regular numbers of form n2 + (n+1)2 + (n+2)2 + (n+3)2 + (n+4)2 [sums of five squared consecutives] : %N n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2. under A027578. The subsets in relation to the palindromic numbers of above form : %N n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2 is palindromic. under A027579. %N Palindromes of form n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2. under A027580. The regular numbers of form n2 + (n+1)2 + (n+2)2 + (n+3)2 + (n+4)2 + (n+5)2 : %N n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2 + (n+5)^2. under A027865. The subsets in relation to the prime numbers of above form : %N n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2 + (n+5)^2 is prime. under A027866. %N Primes of form n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2 + (n+5)^2. under A027867. Click here to view some of the author's [P. De Geest] entries to the table. Click here to view some entries to the table about palindromes.

A simple substitution of n with (m–1) will proof that n^2 + (n+1)^2 + (n+2)^2 equals 3*n^2 + 2 :

n^2 + (n+1)^2 + (n+2)^2 =
(m–1)^2 + ((m–1)+1)^2 + ((m–1)+2)^2 =
(m^2–2m+1) + (m^2) + (m^2+2m+1) =
m^2 + 1 + m^2 + m^2 + 1 =
3*m^2 + 2 QED
And also that n^2 + (n+1)^2 equals 2n(n–1)+1 :
n^2 + (n+1)^2 =
(m–1)^2 + ((m–1)+1)^2 =
m^2–2m+1 + m^2 =
2m^2 – 2m + 1 =
2m(m–1) + 1 QED

The Table

Index NrBase Square ExpressionLength
Palindromic Sums of Squares of Consecutive IntegersLength

[SUSQ2] Sums of Squares of TWO Consecutive Integers
Also [CP4] Palindromic Centered Squares
(See my page Palindromic Centered Polygonals)

Palindromes are of odd length only.
A027571 & A027572
Carlos Rivera collects these palindromes (Palprimes and sums of powers)
especially when they are prime (see highlights).
Submissions from Jean Claude Rosa (email)
Index 27 [ September 14, 2002 ]
Index 28 [ October 11, 2002 ]
Index 29, 30, 31 & 32 [ October 17, 18, 19 & 21, 2002 ]
Index 33 [ February 10, 2003 ]
Index 34 & 35 [ February 26, 2003 ]
Index 36 & 37 [ June 8, 2005 ]
Index 38 [ July 5, 2005 ]
Index 39 & 40 [ August 1, 2005 ]
Index 41 [ September 6, 2005 ]
Index 42 [ September 15, 2006 ]
Index 43 [ October 14, 2006 ]
Index 44 [ May 21, 2007 ]
Index 45 [ January 12, 2008 ]
Index 46 [ February 17, 2009 ]
Search resumed by Patrick De Geest
Index 47 to 52 [ Last one June 16, 2021 ]
Index 53 to 59 [ December 6, 2022 ]
Entries added by Patrick De Geest
Index 60 to 63 [ June 13, 2023 ]
No even-length palindromes exist!
631.262.413.288.821.833.950.379.107.7372 + 1.262.413.288.821.833.950.379.107.738228
3.187.374.623.587.918.287.303.295.065.605.923.037.828.197.853.264.737.81355
62781.149.338.627.822.004.402.338.1142 + 781.149.338.627.822.004.402.338.115227
1.220.388.578.477.367.461.271.198.953.598.911.721.647.637.748.758.830.22155
61722.342.892.165.927.171.629.878.9242 + 722.342.892.165.927.171.629.878.925227
1.043.558.507.725.272.580.121.092.036.302.901.210.852.725.277.058.553.40155
60125.845.220.398.502.946.907.933.8822 + 125.845.220.398.502.946.907.933.883227
31.674.038.994.295.564.414.718.234.143.281.741.446.559.249.983.047.61353
5912.485.050.866.969.785.154.347.9072 + 12.485.050.866.969.785.154.347.908226
311.752.990.301.645.967.838.382.111.283.838.769.546.103.099.257.11351
5812.463.239.245.524.015.944.014.6022 + 12.463.239.245.524.015.944.014.603226
310.664.664.982.340.084.364.343.252.343.463.480.043.289.466.466.01351
579.137.327.500.983.204.356.513.1942 + 9.137.327.500.983.204.356.513.195225
166.981.507.720.447.940.821.484.646.484.128.049.744.027.705.189.66151
56739.558.350.036.969.165.689.4502 + 739.558.350.036.969.165.689.451224
1.093.893.106.218.808.420.715.399.935.170.248.088.126.013.983.90149
5579.608.488.039.503.229.466.5852 + 79.608.488.039.503.229.466.586223
12.675.022.735.871.457.478.928.682.987.475.417.853.722.057.62147
5472.971.763.254.756.896.408.3242 + 72.971.763.254.756.896.408.325223
10.649.756.465.016.577.599.097.379.099.577.561.056.465.794.60147
539.057.485.682.660.759.666.3302 + 9.057.485.682.660.759.666.331222
164.076.093.783.209.295.116.999.611.592.902.387.390.670.46145
5289.940.695.078.362.814.4442 + 89.940.695.078.362.814.445220
16.178.657.262.358.073.985.458.937.085.326.275.687.16141
5184.753.839.053.503.067.8542 + 84.753.839.053.503.067.855220
14.366.426.468.614.203.601.510.630.241.686.462.466.34141
5084.284.587.587.769.426.7202 + 84.284.587.587.769.426.721220
14.207.783.409.680.752.220.402.225.708.690.438.770.24141
49124.566.258.570.164.6972 + 124.566.258.570.164.698218
31.033.505.548.338.259.895.283.384.550.533.01335
4891.424.589.460.359.8552 + 91.424.589.460.359.856217
16.716.911.115.990.684.748.609.951.111.961.76135
4789.663.751.709.213.5052 + 89.663.751.709.213.506217
16.079.176.741.142.975.657.924.114.767.197.06135
4672.421.835.667.809.2002 + 72.421.835.667.809.201217
10.489.844.562.990.321.812.309.926.544.898.40135
4517.149.147.897.016.1812 + 17.149.147.897.016.182217
588.186.547.187.469.040.964.781.745.681.88533
4416.767.809.460.615.5112 + 16.767.809.460.615.512217
562.318.868.215.014.101.410.512.868.813.26533
4315.831.350.305.118.4762 + 15.831.350.305.118.477217
501.263.304.966.749.757.947.669.403.362.10533
4212.577.180.410.882.0822 + 12.577.180.410.882.083217
316.370.934.175.751.979.157.571.439.073.61333
411.650.889.370.330.0162 + 1.650.889.370.330.017216
5.450.871.426.137.276.727.316.241.780.54531
401.258.375.325.735.8822 + 1.258.375.325.735.883216
3.167.016.920.841.776.771.480.296.107.61331
39917.076.696.729.4692 + 917.076.696.729.470215
1.682.059.335.368.470.748.635.339.502.86131
38712.254.882.551.4252 + 712.254.882.551.426215
1.014.614.035.436.689.866.345.304.164.10131
3786.505.526.088.5702 + 86.505.526.088.571214
14.966.412.087.720.702.778.021.466.94129
3673.675.999.227.0992 + 73.675.999.227.100214
10.856.305.724.223.132.242.750.365.80129
3512.615.243.893.5622 + 12.615.243.893.563214
318.288.756.988.131.889.657.882.81327
3412.613.810.689.7622 + 12.613.810.689.763214
318.216.440.234.333.432.044.612.81327
337.365.154.696.7752 + 7.365.154.696.776213
108.491.007.414.868.414.700.194.80127
321.589.811.006.1232 + 1.589.811.006.124213
5.054.998.070.382.830.708.994.50525
311.258.837.943.7172 + 1.258.837.943.718213
3.169.345.937.085.807.395.439.61325
301.255.589.965.8522 + 1.255.589.965.853213
3.153.012.324.698.964.232.103.51325
291.250.999.800.0122 + 1.250.999.800.013213
3.130.000.999.262.629.990.000.31325
28844.706.005.2202 + 844.706.005.221212
1.427.056.470.511.150.746.507.24125
27165.058.650.6662 + 165.058.650.667212
54.488.716.319.691.361.788.44523
2616.794.058.7112 + 16.794.058.712211
564.080.816.010.618.080.46521
2512.574.461.6172 + 12.574.461.618211
316.234.169.939.961.432.61321
248.055.329.3602 + 8.055.329.361210
129.776.662.212.266.677.92121
238.032.814.1392 + 8.032.814.140210
129.052.205.999.502.250.92121
227.360.311.9002 + 7.360.311.901210
108.348.382.545.283.843.80121
211.705.387.6432 + 1.705.387.644210
5.816.694.029.204.966.18519
201.680.689.7882 + 1.680.689.789210
5.649.436.330.336.349.46519
191.616.689.8032 + 1.616.689.804210
5.227.371.841.481.737.22519
1880.472.2642 + 80.472.26528
12.951.570.707.515.92117
1717.070.7062 + 17.070.70728
582.818.040.818.28515
1612.458.5972 + 12.458.59828
310.433.303.334.01315
158.659.9292 + 8.659.93027
149.988.757.889.94115
147.901.0142 + 7.901.01527
124.852.060.258.42115
131.258.1822 + 1.258.18327
3.166.046.406.61313
12904.2802 + 904.28126
1.635.446.445.36113
11170.7062 + 170.70726
58.281.418.28511
101.7062 + 1.70724
5.824.2857
91.6212 + 1.62224
5.258.5257
81.2622 + 1.26324
Prime Curios!    3.187.8137
71.2572 + 1.25824
3.162.6137
69192 + 92023
1.690.9617
5162 + 1722
5453
4122 + 1322
Prime!    3133
392 + 1021 - 2
Prime!    1813
212 + 221
Prime!    51
102 + 121
11

[SUSQ3] Sums of Squares of THREE Consecutive Integers
Submissions from Jean Claude Rosa (email)
Searched for palindromes up to length 21.
A027573 & A027574
Index 23 and 24 [ August 28, 2002 ]
Index 25 up to 29 [ August 30, 2002 ]
Index 30 up to 47 [ November 13, 2022 ]
Index 48 up to 54 [ December 6, 2022 ]
Entries added by Patrick De Geest
Index 55 up to 56 [ July 21, 2023 ]
561.173.218.266.644.871.938.456.265.8972 + 1.173.218.266.644.871.938.456.265.8982 +
1.173.218.266.644.871.938.456.265.8992
27
4.129.323.303.567.593.493.813.893.413.143.983.183.943.957.653.033.239.21455
55548.163.799.762.381.037.937.381.2122 + 548.163.799.762.381.037.937.381.2132 +
548.163.799.762.381.037.937.381.2142
27
901.450.654.109.795.320.991.582.599.995.285.199.023.597.901.456.054.10954
5440.527.845.339.124.306.034.326.0412 + 40.527.845.339.124.306.034.326.0422 +
40.527.845.339.124.306.034.326.0432
26
4.927.518.743.495.939.209.166.267.887.626.619.029.395.943.478.157.29452
5326.015.490.337.146.521.135.930.9892 + 26.015.490.337.146.521.135.930.9902 +
26.015.490.337.146.521.135.930.9912
26
2.030.417.212.446.492.035.882.938.008.392.885.302.946.442.127.140.30252
5225.959.833.459.686.661.892.013.5192 + 25.959.833.459.686.661.892.013.5202 +
25.959.833.459.686.661.892.013.5212
26
2.021.738.859.764.001.484.200.291.441.920.024.841.004.679.588.371.20252
5113.680.321.023.122.374.054.395.6882 + 13.680.321.023.122.374.054.395.6892 +
13.680.321.023.122.374.054.395.6902
26
561.453.549.887.051.997.681.159.464.951.186.799.150.788.945.354.16551
502.582.535.036.965.557.492.159.5992 + 2.582.535.036.965.557.492.159.6002 +
2.582.535.036.965.557.492.159.6012
25
20.008.461.651.464.080.207.443.677.634.470.208.046.415.616.480.00250
49407.064.532.506.683.719.135.7912 + 407.064.532.506.683.719.135.7922 +
407.064.532.506.683.719.135.7932
24
497.104.600.874.654.898.782.368.863.287.898.456.478.006.401.79448
488.340.484.531.860.307.902.8392 + 8.340.484.531.860.307.902.8402 +
8.340.484.531.860.307.902.8412
22
208.691.046.678.603.178.418.424.814.871.306.876.640.196.80245
474.100.752.341.022.460.813.8482 + 4.100.752.341.022.460.813.8492 +
4.100.752.341.022.460.813.8502
22
50.448.509.287.203.578.252.833.825.287.530.278.290.584.40544
46258.199.039.883.824.087.9992 + 258.199.039.883.824.088.0002 + 258.199.039.883.824.088.001221
200.000.232.590.785.746.343.343.647.587.095.232.000.00242
4537.944.021.248.974.850.8612 + 37.944.021.248.974.850.8622 + 37.944.021.248.974.850.863220
4.319.246.245.627.965.003.443.005.697.265.426.429.13440
4412.887.330.239.769.396.3412 + 12.887.330.239.769.396.3422 + 12.887.330.239.769.396.343220
498.249.842.126.624.179.828.971.426.621.248.942.89439
43831.985.816.181.113.3292 + 831.985.816.181.113.3302 + 831.985.816.181.113.331218
2.076.601.194.979.659.897.989.569.794.911.066.70237
42179.711.480.947.862.7662 + 179.711.480.947.862.7672 + 179.711.480.947.862.768218
96.888.649.153.422.126.862.122.435.194.688.86935
41129.218.991.085.740.2502 + 129.218.991.085.740.2512 + 129.218.991.085.740.252218
50.092.642.971.649.855.355.894.617.924.629.00535
40116.914.306.830.157.4972 + 116.914.306.830.157.4982 + 116.914.306.830.157.499218
41.006.865.424.728.636.563.682.742.456.860.01435
3913.468.617.939.580.6902 + 13.468.617.939.580.6912 + 13.468.617.939.580.692217
544.211.007.607.184.454.481.706.700.112.44533
381.609.332.492.201.3642 + 1.609.332.492.201.3652 + 1.609.332.492.201.366216
7.769.853.211.365.169.615.631.123.589.67731
37128.895.228.580.1572 + 128.895.228.580.1582 + 128.895.228.580.159215
49.841.939.852.193.539.125.893.914.89429
36122.759.320.720.9212 + 122.759.320.720.9222 + 122.759.320.720.923215
45.209.552.471.586.568.517.425.590.25429
3583.405.649.337.1592 + 83.405.649.337.1602 + 83.405.649.337.161214
20.869.507.024.059.895.042.070.596.80229
3482.170.676.118.7792 + 82.170.676.118.7802 + 82.170.676.118.781214
20.256.060.041.452.325.414.006.065.20229
3339.587.830.255.9672 + 39.587.830.255.9682 + 39.587.830.255.969214
4.701.588.913.126.006.213.198.851.07428
3212.360.779.113.2212 + 12.360.779.113.2222 + 12.360.779.113.223214
458.366.580.857.595.758.085.663.85427
31129.426.069.2002 + 129.426.069.2012 + 129.426.069.202212
50.253.322.166.466.122.335.20523
3037.196.982.7512 + 37.196.982.7522 + 37.196.982.753211
4.150.846.577.557.756.480.51422
2917.552.348.1962 + 17.552.348.1972 + 17.552.348.198211
924.254.781.686.187.452.42921
2816.028.474.3442 + 16.028.474.3452 + 16.028.474.346211
770.735.969.484.969.537.07721
2712.900.321.3912 + 12.900.321.3922 + 12.900.321.393211
499.254.876.050.678.452.99421
268.227.749.4892 + 8.227.749.4902 + 8.227.749.491210
203.087.585.010.585.780.30221
255.602.945.2422 + 5.602.945.2432 + 5.602.945.244210
94.178.986.188.168.987.14920
24828.223.2492 + 828.223.2502 + 828.223.25129
2.057.861.255.521.687.50219
23441.564.3802 + 441.564.3812 + 441.564.38229
584.937.307.703.739.48518
2240.439.5572 + 40.439.5582 + 40.439.55928
4.906.073.553.706.09416
2117.909.2822 + 17.909.2832 + 17.909.28428
962.227.252.722.26915
208.211.8792 + 8.211.8802 + 8.211.88127
202.304.919.403.20215
194.427.7802 + 4.427.7812 + 4.427.78227
58.815.733.751.88514
181.775.7062 + 1.775.7072 + 1.775.70827
9.459.406.049.54913
171.751.4962 + 1.751.4972 + 1.751.49827
Prime Curios!    9.203.225.223.02913
161.328.1202 + 1.328.1212 + 1.328.12227
5.291.716.171.92513
15378.8112 + 378.8122 + 378.81326
430.495.594.03412
14173.7362 + 173.7372 + 173.73826
90.553.635.50911
13119.8112 + 119.8122 + 119.81326
43.064.746.03411
1240.4412 + 40.4422 + 40.44325
4.906.666.09410
1136.9972 + 36.9982 + 36.99925
4.106.556.01410
1017.9322 + 17.9332 + 17.93425
964.777.4699
917.5522 + 17.5532 + 17.55425
924.323.4299
816.0842 + 16.0852 + 16.08625
776.181.6779
78.3392 + 8.3402 + 8.34124
208.666.8029
61.7362 + 1.7372 + 1.73824
9.051.5097
55662 + 5672 + 56823
964.4696
4372 + 382 + 3922
4.3344
3112 + 122 + 1322
4343
242 + 52 + 621
772
102 + 12 + 221
Prime!    51

[SUSQ4] Sums of Squares of FOUR Consecutive Integers
(Palindromes are of odd-length only)
[PDG] Searched up to length 17.
A027576 & A027577
Entries from Donovan Johnson (OEIS)
Index 7 & 8 [ August 26, 2012 ]
Entries from Chai Wah Wu (OEIS)
Index 9 & 10 [ September 6, 2021 ]
Index 11 up to 22 [ November 13, 2022 ]
Index 23 up to 27 [ December 6, 2022 ]
Entries added by Patrick De Geest
Index 28 up to 30 [ July 21, 2023 ]
No even-length palindromes exist!
301.304.158.980.962.924.998.650.981.3692 + 1.304.158.980.962.924.998.650.981.3702 +
1.304.158.980.962.924.998.650.981.3712 + 1.304.158.980.962.924.998.650.981.3722
28
6.803.322.590.505.019.876.166.220.133.310.226.616.789.105.050.952.233.08655
291.085.305.943.350.996.169.800.705.7422 + 1.085.305.943.350.996.169.800.705.7432 +
1.085.305.943.350.996.169.800.705.7442 + 1.085.305.943.350.996.169.800.705.7452
28
4.711.555.962.691.982.828.932.337.796.977.332.398.282.891.962.695.551.17455
28106.543.267.346.550.117.365.047.4272 + 106.543.267.346.550.117.365.047.4282 +
106.543.267.346.550.117.365.047.4292 + 106.543.267.346.550.117.365.047.4302
27
45.405.871.267.513.809.946.832.612.521.623.864.990.831.576.217.850.45453
271.272.871.463.910.655.112.869.9842 + 1.272.871.463.910.655.112.869.9852 +
1.272.871.463.910.655.112.869.9862 + 1.272.871.463.910.655.112.869.9872
25
6.480.807.054.552.216.725.775.159.515.775.276.122.554.507.080.84649
261.090.625.222.702.062.964.649.3302 + 1.090.625.222.702.062.964.649.3312 +
1.090.625.222.702.062.964.649.3322 + 1.090.625.222.702.062.964.649.3332
25
4.757.853.505.575.697.751.400.812.180.041.577.965.755.053.587.57449
251.063.249.088.931.509.259.171.0272 + 1.063.249.088.931.509.259.171.0282 +
1.063.249.088.931.509.259.171.0292 + 1.063.249.088.931.509.259.171.0302
25
4.521.994.500.454.737.941.688.051.508.861.497.374.540.054.991.25449
24126.542.779.266.073.782.044.9632 + 126.542.779.266.073.782.044.9642 +
126.542.779.266.073.782.044.9652 + 126.542.779.266.073.782.044.9662
24
64.052.299.937.529.090.675.261.916.257.609.092.573.999.225.04647
2312.289.864.995.068.396.717.8492 + 12.289.864.995.068.396.717.8502 +
12.289.864.995.068.396.717.8512 + 12.289.864.995.068.396.717.8522
23
604.163.126.388.030.091.527.888.725.190.030.883.621.361.40645
221.107.721.851.419.374.353.3572 + 1.107.721.851.419.374.353.3582 +
1.107.721.851.419.374.353.3592 + 1.107.721.851.419.374.353.3602
22
4.908.190.800.447.865.884.417.144.885.687.440.080.918.09443
211.063.803.884.153.944.534.7772 + 1.063.803.884.153.944.534.7782 +
1.063.803.884.153.944.534.7792 + 1.063.803.884.153.944.534.7802
22
4.526.714.815.764.076.176.238.326.716.704.675.184.176.25443
20109.526.531.972.273.658.7172 + 109.526.531.972.273.658.7182 +
109.526.531.972.273.658.7192 + 109.526.531.972.273.658.7202
21
47.984.244.823.493.935.958.185.953.939.432.844.248.97441
1912.657.045.958.221.760.7842 + 12.657.045.958.221.760.7852 + 12.657.045.958.221.760.7862 +
12.657.045.958.221.760.7872
20
640.803.249.554.151.242.686.242.151.455.942.308.04639
181.085.552.783.348.274.7422 + 1.085.552.783.348.274.7432 + 1.085.552.783.348.274.7442 +
1.085.552.783.348.274.7452
19
4.713.699.381.740.745.292.925.470.471.839.963.17437
17111.378.861.419.824.3072 + 111.378.861.419.824.3082 + 111.378.861.419.824.3092 +
111.378.861.419.824.3102
18
49.621.003.084.705.711.111.750.748.030.012.69435
161.304.322.969.770.6282 + 1.304.322.969.770.6292 + 1.304.322.969.770.6302 +
1.304.322.969.770.6312
16
6.805.033.637.885.097.905.887.363.305.08631
151.252.515.421.951.9682 + 1.252.515.421.951.9692 + 1.252.515.421.951.9702 +
1.252.515.421.951.9712
16
6.275.179.528.910.080.800.198.259.715.72631
141.107.745.868.127.2652 + 1.107.745.868.127.2662 + 1.107.745.868.127.2672 +
1.107.745.868.127.2682
16
4.908.403.633.412.125.212.143.363.048.09431
13131.203.548.945.9282 + 131.203.548.945.9292 + 131.203.548.945.9302 + 131.203.548.945.931215
68.857.485.024.027.672.042.058.475.88629
121020499841661972 + 102.049.984.166.1982 + 102.049.984.166.1992 + 102.049.984.166.200215
41.656.797.073.285.458.237.079.765.61429
1112.881.503.131.7392 + 12.881.503.131.7402 + 12.881.503.131.7412 + 12.881.503.131.742214
663.732.491.732.161.237.194.237.36627
10109.244.416.3172 + 109.244.416.3182 + 109.244.416.3192 + 109.244.416.320212
47.737.369.987.078.996.373.77423
9107.045.858.9772 + 107.045.858.9782 + 107.045.858.9792 + 107.045.858.980212
45.835.263.697.779.636.253.85423
81.086.219.2422 + 1.086.219.2432 + 1.086.219.2442 + 1.086.219.245210
4.719.488.979.798.849.17419
71.085.864.4922 + 1.085.864.4932 + 1.085.864.4942 + 1.085.864.495210
4.716.406.792.976.046.17419
6102.025.3002 + 102.025.3012 + 102.025.3022 + 102.025.30329
41.636.648.584.663.61417
5101.740.1722 + 101.740.1732 + 101.740.1742 + 101.740.17529
41.404.251.615.240.41417
412.309.5982 + 12.309.5992 + 12.309.6002 + 12.309.60128
606.104.959.401.60615
310.460.1372 + 10.460.1382 + 10.460.1392 + 10.460.14028
437.657.989.756.73415
210.1722 + 10.1732 + 10.1742 + 10.17525
414.000.4149
11002 + 1012 + 1022 + 10323
41.2145

[SUSQ5] Sums of Squares of FIVE Consecutive Integers
[PDG] Searched up to length 17.
A027579 & A027580
Entry from Chai Wah Wu (OEIS)
Index 6 [ January 18, 2016 ]
Entry from Giovanni Resta (OEIS)
Index 7 [ August 04, 2019 ]
Index 8 up to 14 [ November 13, 2022 ]
Index 15 [ December 6, 2022 ]
Entries added by Patrick De Geest
Index 16 [ July 21, 2023 ]
16103.111.501.282.578.599.285.032.3432 + 103.111.501.282.578.599.285.032.3442 +
103.111.501.282.578.599.285.032.3452 + 103.111.501.282.578.599.285.032.3462 +
103.111.501.282.578.599.285.032.3472
27
53.159.908.483.736.040.626.825.443.134.452.862.604.063.738.480.995.13553
1533.427.767.483.384.295.424.777.6612 + 33.427.767.483.384.295.424.777.6622 +
33.427.767.483.384.295.424.777.6632 + 33.427.767.483.384.295.424.777.6642 +
33.427.767.483.384.295.424.777.6652
26
5.587.078.194.616.022.157.488.222.772.228.847.512.206.164.918.707.85552
143.214.369.116.793.269.645.3872 + 3.214.369.116.793.269.645.3882 +
3.214.369.116.793.269.645.3892 + 3.214.369.116.793.269.645.3902 +
3.214.369.116.793.269.645.3912
22
51.660.844.094.971.721.771.133.117.712.717.949.044.806.61544
13320.203.534.322.536.731.1692 + 320.203.534.322.536.731.1702 +
320.203.534.322.536.731.1712 + 320.203.534.322.536.731.1722 +
320.203.534.322.536.731.1732
21
512.651.516.963.219.792.177.771.297.912.369.615.156.21542
1210.530.595.917.944.837.3312 + 10.530.595.917.944.837.3322 + 10.530.595.917.944.837.3332 +
10.530.595.917.944.837.3342 + 10.530.595.917.944.837.3352
20
554.467.251.935.182.356.060.653.281.539.152.764.45539
1110.105.796.967.151.826.3972 + 10.105.796.967.151.826.3982 + 10.105.796.967.151.826.3992 +
10.105.796.967.151.826.4002 + 10.105.796.967.151.826.4012
20
510.635.661.706.475.263.070.362.574.607.166.536.01539
103.342.595.144.302.0352 + 3.342.595.144.302.0362 + 3.342.595.144.302.0372 +
3.342.595.144.302.0382 + 3.342.595.144.302.0392
16
55.864.711.493.557.777.775.539.411.746.85532
9104.883.758.798.9952 + 104.883.758.798.9962 + 104.883.758.798.9972 +
104.883.758.798.9982 + 104.883.758.798.9992
15
55.003.014.299.030.903.099.241.030.05529
832.195.622.174.0792 + 32.195.622.174.0802 + 32.195.622.174.0812 +
32.195.622.174.0822 + 32.195.622.174.0832
14
5.182.790.435.880.880.885.340.972.81528
710.310.949.321.2532 + 10.310.949.321.2542 + 10.310.949.321.2552 + 10.310.949.321.2562 +
10.310.949.321.2572
14
531.578.379.527.444.725.973.875.13527
6105.720.053.6352 + 105.720.053.6362 + 105.720.053.6372 + 105.720.053.6382 +
105.720.053.6392
12
55.883.648.705.050.784.638.85523
510.0992 + 10.1002 + 10.1012 + 10.1022 + 10.10325
510.151.0159
43.2072 + 3.2082 + 3.2092 + 3.2102 + 3.21124
51.488.4158
33312 + 3322 + 3332 + 3342 + 33523
554.4556
2992 + 1002 + 1012 + 1022 + 10322 - 3
51.0155
112 + 22 + 32 + 42 + 521
552

[SUSQ6] Sums of Squares of SIX Consecutive Integers
Entries added by Patrick De Geest
Index 1 up to 28 [ June 30, 2023 ]
Index 29 up to 49 [ July 21, 2023 ]
491.246.756.851.350.801.868.238.455.3432 + 1.246.756.851.350.801.868.238.455.3442 + … +
1.246.756.851.350.801.868.238.455.3472 + 1.246.756.851.350.801.868.238.455.3482
28
9.326.415.878.340.992.797.577.093.748.473.907.757.972.990.438.785.146.23955
48542.222.359.810.800.474.662.640.1912 + 542.222.359.810.800.474.662.640.1922 + … +
542.222.359.810.800.474.662.640.1952 + 542.222.359.810.800.474.662.640.1962
27
1.764.030.524.872.759.042.543.142.396.932.413.452.409.572.784.250.304.67155
47170.907.263.094.476.310.290.694.6412 + 170.907.263.094.476.310.290.694.6422 + … +
170.907.263.094.476.310.290.694.6452 + 170.907.263.094.476.310.290.694.6462
27
175.255.755.470.667.265.375.010.909.909.010.573.562.766.074.557.552.57154
46160.826.196.650.501.385.090.782.4312 + 160.826.196.650.501.385.090.782.4322 + … +
160.826.196.650.501.385.090.782.4352 + 160.826.196.650.501.385.090.782.4362
27
155.190.393.174.394.457.621.492.153.351.294.126.754.493.471.393.091.55154
4548.259.273.696.946.117.904.370.9462 + 48.259.273.696.946.117.904.370.9472 + … +
48.259.273.696.946.117.904.370.9502 + 48.259.273.696.946.117.904.370.9512
26
13.973.744.986.540.532.557.250.053.535.005.275.523.504.568.944.737.93153
4415.842.486.038.008.463.370.046.6812 + 15.842.486.038.008.463.370.046.6822 + … +
15.842.486.038.008.463.370.046.6852 + 15.842.486.038.008.463.370.046.6862
26
1.505.906.183.186.958.594.525.588.558.855.254.958.596.813.816.095.05152
4313.694.092.462.684.948.770.528.8092 + 13.694.092.462.684.948.770.528.8102 + … +
13.694.092.462.684.948.770.528.8132 + 13.694.092.462.684.948.770.528.8142
26
1.125.169.010.259.388.350.211.072.112.701.120.538.839.520.109.615.21152
423.029.371.063.184.185.019.896.2002 + 3.029.371.063.184.185.019.896.2012 + … +
3.029.371.063.184.185.019.896.2042 + 3.029.371.063.184.185.019.896.2052
25
55.062.534.230.746.077.048.343.166.134.384.077.064.703.243.526.05550
41571.077.148.488.056.628.936.1192 + 571.077.148.488.056.628.936.1202 + … +
571.077.148.488.056.628.936.1232 + 571.077.148.488.056.628.936.1242
24
1.956.774.657.151.499.278.013.210.123.108.729.941.517.564.776.59149
40304.203.348.018.855.275.515.2502 + 304.203.348.018.855.275.515.2512 + … +
304.203.348.018.855.275.515.2542 + 304.203.348.018.855.275.515.2552
24
555.238.061.675.284.679.272.559.955.272.976.482.576.160.832.55548
39180.149.574.473.124.882.100.2942 + 180.149.574.473.124.882.100.2952 + … +
180.149.574.473.124.882.100.2982 + 180.149.574.473.124.882.100.2992
24
194.723.215.097.087.808.853.106.601.358.808.780.790.512.327.49148
3857.636.490.290.250.267.440.4512 + 57.636.490.290.250.267.440.4522 + … +
57.636.490.290.250.267.440.4552 + 57.636.490.290.250.267.440.4562
23
19.931.790.077.868.680.147.419.591.474.108.686.877.009.713.99147
3739.019.978.639.441.536.466.9232 + 39.019.978.639.441.536.466.9242 + … +
39.019.978.639.441.536.466.9272 + 39.019.978.639.441.536.466.9282
23
9.135.352.398.134.842.676.020.440.206.762.484.318.932.535.31946
3638.954.405.131.787.489.403.3732 + 38.954.405.131.787.489.403.3742 + … +
38.954.405.131.787.489.403.3772 + 38.954.405.131.787.489.403.3782
23
9.104.674.075.028.588.938.035.225.308.398.858.205.704.764.01946
3516.130.526.716.044.422.304.9812 + 16.130.526.716.044.422.304.9822 + … +
16.130.526.716.044.422.304.9852 + 16.130.526.716.044.422.304.9862
23
1.561.163.352.822.137.130.063.883.600.317.312.282.533.611.65146
345.020.014.970.134.500.237.7312 + 5.020.014.970.134.500.237.7322 + … +
5.020.014.970.134.500.237.7352 + 5.020.014.970.134.500.237.7362
22
151.203.301.802.246.923.882.797.288.329.642.208.103.302.15145
331.524.865.239.807.802.834.3212 + 1.524.865.239.807.802.834.3222 + … +
1.524.865.239.807.802.834.3252 + 1.524.865.239.807.802.834.3262
22
13.951.283.997.444.648.274.222.247.284.644.479.938.215.93144
3296.518.362.998.060.917.0552 + 96.518.362.998.060.917.0562 + … +
96.518.362.998.060.917.0592 + 96.518.362.998.060.917.0602
20
55.894.766.374.952.728.664.046.682.725.947.366.749.85541
3148.133.889.267.562.677.5492 + 48.133.889.267.562.677.5502 + … +
48.133.889.267.562.677.5532 + 48.133.889.267.562.677.5542
20
13.901.227.776.131.913.091.219.031.913.167.772.210.93141
3016.059.122.247.918.927.8812 + 16.059.122.247.918.927.8822 + … +
16.059.122.247.918.927.8852 + 16.059.122.247.918.927.8862
20
1.547.372.444.241.628.076.666.708.261.424.442.737.45140
2915.904.195.857.857.829.7642 + 15.904.195.857.857.829.7652 + … +
15.904.195.857.857.829.7682 + 15.904.195.857.857.829.7692
20
1.517.660.675.310.612.898.118.982.160.135.760.667.15140
289.601.949.622.120.202.5302 + 9.601.949.622.120.202.5312 + … +
9.601.949.622.120.202.5342 + 9.601.949.622.120.202.5352
19
553.184.619.274.405.801.242.108.504.472.916.481.35539
274.452.442.039.733.210.5092 + 4.452.442.039.733.210.5102 + … +
4.452.442.039.733.210.5132 + 4.452.442.039.733.210.5142
19
118.945.440.703.101.792.787.297.101.307.044.549.81139
264.382.301.630.150.914.7112 + 4.382.301.630.150.914.7122 + … +
4.382.301.630.150.914.7152 + 4.382.301.630.150.914.7162
19
115.227.405.465.740.186.939.681.047.564.504.722.51139
253.049.949.111.805.146.9802 + 3.049.949.111.805.146.9812 + … +
3.049.949.111.805.146.9842 + 3.049.949.111.805.146.9852
19
55.813.137.507.606.029.811.892.060.670.573.131.85538
241.250.952.385.197.428.0522 + 1.250.952.385.197.428.0532 + … +
1.250.952.385.197.428.0562 + 1.250.952.385.197.428.0572
19
9.389.291.220.186.806.497.946.086.810.221.929.83937
23573.719.286.716.525.9762 + 573.719.286.716.525.9772 + … +
573.719.286.716.525.9802 + 573.719.286.716.525.9812
18
1.974.922.919.703.116.052.506.113.079.192.294.79137
2230.395.024.110.760.2602 + 30.395.024.110.760.2612 + … +
30.395.024.110.760.2642 + 30.395.024.110.760.2652
17
5.543.144.944.162.186.116.812.614.494.413.45534
214.369.937.734.757.6612 + 4.369.937.734.757.6622 + … +
4.369.937.734.757.6652 + 4.369.937.734.757.6662
16
114.578.134.833.953.636.359.338.431.875.41133
204.028.463.491.342.0372 + 4.028.463.491.342.0382 + … +
4.028.463.491.342.0412 + 4.028.463.491.342.0422
16
97.371.108.606.454.166.145.460.680.117.37932
19477.815.505.424.6712 + 477.815.505.424.6722 + … +
477.815.505.424.6752 + 477.815.505.424.6762
15
1.369.845.943.345.417.145.433.495.489.63131
18182.044.518.133.5942 + 182.044.518.133.5952 + … +
182.044.518.133.5982 + 182.044.518.133.5992
15
198.841.239.494.960.069.494.932.148.89130
17127.596.868.866.9872 + 127.596.868.866.9882 + … +
127.596.868.866.9912 + 127.596.868.866.9922
15
97.685.765.667.958.285.976.656.758.67929
1639.437.797.541.3182 + 39.437.797.541.3192 + … + 39.437.797.541.3222 + 39.437.797.541.323214
9.332.039.249.461.111.649.429.302.33928
1512.751.697.307.1582 + 12.751.697.307.1592 + … + 12.751.697.307.1622 + 12.751.697.307.163214
975.634.705.280.666.082.507.436.57927
141.363.323.900.1362 + 1.363.323.900.1372 + … + 1.363.323.900.1402 + 1.363.323.900.141213
11.151.912.340.133.104.321.915.11126
1340.350.1122 + 40.350.1132 + 40.350.1142 + 40.350.1152 + 40.350.1162 + 40.350.11728
9.768.790.440.978.67916
12962.2702 + 962.2712 + 962.2722 + 962.2732 + 962.2742 + 962.27526
5.555.810.185.55513
11542.1792 + 542.1802 + 542.1812 + 542.1822 + 542.1832 + 542.18426
1.763.764.673.67113
1096.0052 + 96.0062 + 96.0072 + 96.0082 + 96.0092 + 96.01025
55.304.640.35511
954.1912 + 54.1922 + 54.1932 + 54.1942 + 5.41952 + 54.19625
17.621.612.67111
830.3002 + 30.3012 + 30.3022 + 30.3032 + 30.3042 + 30.30525
5.509.449.05510
75.6262 + 5.6272 + 5.6282 + 5.6292 + 5.6302 + 5.63124
Prime!    190.080.0919
63.9882 + 3.9892 + 3.9902 + 3.9912 + 3.9922 + 3.99324
95.544.5598
51.3592 + 1.3602 + 1.3612 + 1.3622 + 1.3632 + 1.36424
11.122.1118
41762 + 1772 + 1782 + 1792 + 1802 + 18123
191.1916
31492 + 1502 + 1512 + 1522 + 1532 + 15423
137.7316
2112 + 122 + 132 + 142 + 152 + 1622
1.1114
102 + 12 + 22 + 32 + 42 + 521
552

[SUSQ7] Sums of Squares of SEVEN Consecutive Integers
Entries added by Patrick De Geest
Index 1 up to 9 [ July 1, 2023 ]
Index 10 up to 16 [ July 21, 2023 ]
No even-length palindromes exist!
16407.875.788.882.303.226.699.821.2842 + 407.875.788.882.303.226.699.821.2852 + … +
407.875.788.882.303.226.699.821.2892 + 407.875.788.882.303.226.699.821.2902
27
1.164.538.614.094.528.347.281.064.343.434.601.827.438.254.904.168.354.61155
1552.941.577.951.010.701.978.916.0502 + 52.941.577.951.010.701.978.916.0512 + … +
52.941.577.951.010.701.978.916.0552 + 52.941.577.951.010.701.978.916.0562
26
19.619.674.731.600.597.623.921.199.299.112.932.679.500.613.747.691.69153
1439.808.561.111.314.872.834.977.0842 + 39.808.561.111.314.872.834.977.0852 + … +
39.808.561.111.314.872.834.977.0892 + 39.808.561.111.314.872.834.977.0902
26
11.093.050.764.273.035.763.155.002.620.055.136.753.037.246.705.039.01153
134.121.502.285.926.871.883.067.6842 + 4.121.502.285.926.871.883.067.6852 + … +
4.121.502.285.926.871.883.067.6892 + 4.121.502.285.926.871.883.067.6902
25
118.907.467.650.303.012.756.533.787.335.657.210.303.056.764.709.81151
129.665.310.835.617.236.491.8492 + 9.665.310.835.617.236.491.8502 + … +
9.665.310.835.617.236.491.8542 + 9.665.310.835.617.236.491.8552
22
653.927.634.843.699.736.312.030.213.637.996.348.436.729.35645
114.761.660.494.316.531.312.8642 + 4.761.660.494.316.531.312.8652 + … +
4.761.660.494.316.531.312.8692 + 4.761.660.494.316.531.312.8702
22
158.713.874.641.943.273.318.999.813.372.349.146.478.317.85145
1043.992.211.425.744.948.5742 + 43.992.211.425.744.948.5752 + … +
43.992.211.425.744.948.5792 + 43.992.211.425.744.948.5802
20
13.547.202.662.892.110.808.580.801.129.826.620.274.53141
9500.518.060.847.751.5902 + 500.518.060.847.751.5912 + … +
500.518.060.847.751.5952 + 500.518.060.847.751.5962
18
1.753.628.304.643.554.962.694.553.464.038.263.57137
840.835.962.570.960.2102 + 40.835.962.570.960.2112 + … +
40.835.962.570.960.2152 + 40.835.962.570.960.2162
17
11.673.030.873.678.044.144.087.637.803.037.61135
78.893.946.160.332.1782 + 8.893.946.160.332.1792 + … +
8.893.946.160.332.1832 + 8.893.946.160.332.1842
16
553.715.948.120.212.818.212.021.849.517.35533
665.701.105.596.6922 + 65.701.105.596.6932 + … + 65.701.105.596.6972 + 65.701.105.596.698214
30.216.446.936.396.469.363.964.461.20329
540.113.478.132.4842 + 40.113.478.132.4852 + … + 40.113.478.132.4892 + 40.113.478.132.490214
11.263.637.895.198.589.159.873.636.21129
446.305.2302 + 46.305.2312 + 46.305.2322 + … + 46.305.2342 + 46.305.2352 + 46.305.23628
15.009.222.222.290.05117
310.841.3572 + 10.841.3582 + 10.841.3592 + … + 10.841.3612 + 10.841.3622 + 10.841.36328
822.745.606.547.22815
2502 + 512 + 522 + 532 + 542 + 552 + 5622
19.6915
162 + 72 + 82 + 92 + 102 + 112 + 1221 - 2
5953

[SUSQ8] Sums of Squares of EIGHT Consecutive Integers
Entries added by Patrick De Geest
Index 1 up to 36 [ July 2, 2023 ]
Index 37 up to 45 [ July 21, 2023 ]
4572.925.716.519.393.087.527.409.5822 + 72.925.716.519.393.087.527.409.5832 + … +
72.925.716.519.393.087.527.409.5882 + 72.925.716.519.393.087.527.409.5892
26
42.545.281.038.935.054.852.345.653.335.654.325.845.053.983.018.254.52453
4471.292.233.851.896.013.469.376.2012 + 71.292.233.851.896.013.469.376.2022 + … +
71.292.233.851.896.013.469.376.2072 + 71.292.233.851.896.013.469.376.2082
26
40.660.660.860.747.423.150.293.049.894.039.205.132.474.706.806.606.60453
43759.406.297.947.692.779.080.0372 + 759.406.297.947.692.779.080.0382 + … +
759.406.297.947.692.779.080.0432 + 759.406.297.947.692.779.080.0442
24
4.613.583.402.900.959.504.061.974.791.604.059.590.092.043.853.16449
42709.051.284.960.270.620.443.3672 + 709.051.284.960.270.620.443.3682 + … +
709.051.284.960.270.620.443.3732 + 709.051.284.960.270.620.443.3742
24
4.022.029.797.630.487.117.982.533.352.897.117.840.367.979.202.20449
41606.731.587.061.101.323.087.9142 + 606.731.587.061.101.323.087.9152 + … +
606.731.587.061.101.323.087.9202 + 606.731.587.061.101.323.087.9212
24
2.944.985.749.901.462.195.628.777.778.265.912.641.099.475.894.49249
40234.633.282.074.423.957.471.9962 + 234.633.282.074.423.957.471.9972 + … +
234.633.282.074.423.957.472.0022 + 234.633.282.074.423.957.472.0032
24
440.422.216.456.129.590.461.650.056.164.095.921.654.612.224.04448
3977.471.834.906.927.642.830.3522 + 77.471.834.906.927.642.830.3532 + … +
77.471.834.906.927.642.830.3582 + 77.471.834.906.927.642.830.3592
23
48.015.081.630.770.019.305.975.457.950.391.007.703.618.051.08447
386.029.567.265.159.967.012.4192 + 6.029.567.265.159.967.012.4202 + … +
6.029.567.265.159.967.012.4252 + 6.029.567.265.159.967.012.4262
22
290.845.451.240.709.151.585.525.585.151.907.042.154.548.09245
37604.323.528.288.194.201.7842 + 604.323.528.288.194.201.7852 + … +
604.323.528.288.194.201.7902 + 604.323.528.288.194.201.7912
21
2.921.655.414.741.534.861.038.301.684.351.474.145.561.29243
3624.498.027.310.345.048.3912 + 24.498.027.310.345.048.3922 + … +
24.498.027.310.345.048.3972 + 24.498.027.310.345.048.3982
20
4.801.226.736.787.294.768.668.674.927.876.376.221.08440
357.454.999.550.045.000.4462 + 7.454.999.550.045.000.4472 + … +
7.454.999.550.045.000.4502 + 7.454.999.550.045.000.4512
19
444.616.146.329.369.273.292.372.963.923.641.616.44439
347.439.022.276.072.654.6472 + 7.439.022.276.072.654.6482 + … +
7.439.022.276.072.654.6532 + 7.439.022.276.072.654.6542
19
442.712.419.391.241.434.424.434.142.193.914.217.24439
33745.500.450.004.499.5472 + 745.500.450.004.499.5482 + … +
745.500.450.004.499.5532 + 745.500.450.004.499.5542
18
4.446.167.367.655.290.670.760.925.567.637.616.44437
32742.326.018.579.714.1222 + 742.326.018.579.714.1232 + … +
742.326.018.579.714.1282 + 742.326.018.579.714.1292
18
4.408.383.342.883.280.648.460.823.882.433.838.04437
317259974920493032822 + 7259974920493032832 + … +
7259974920493032882 + 725.997.492.049.303.2892
18
4.216.578.867.695.025.497.945.205.967.688.756.12437
30245.526.151.053.791.6162 + 245.526.151.053.791.6172 + … +
245.526.151.053.791.6222 + 245.526.151.053.791.6232
18
482.264.726.810.314.396.693.413.018.627.462.28436
2976.581.332.942.288.1062 + 76.581.332.942.288.1072 + … +
76.581.332.942.288.1122 + 76.581.332.942.288.1132
17
46.917.604.441.740.655.955.604.714.440.671.96435
2860.299.210.677.888.3242 + 60.299.210.677.888.3252 + … +
60.299.210.677.888.3302 + 60.299.210.677.888.3312
17
29.087.958.467.010.893.539.801.076.485.978.09235
277.485.678.803.902.7712 + 7.485.678.803.902.7722 + … +
7.485.678.803.902.7772 + 7.485.678.803.902.7782
16
448.283.097.241.594.181.495.142.790.382.84433
266.068.491.431.508.5642 + 6.068.491.431.508.5652 + … +
6.068.491.431.508.5702 + 6.068.491.431.508.5712
16
294.612.706.034.343.222.343.430.607.216.49233
256.021.813.714.533.3692 + 6.021.813.714.533.3702 + … +
6.021.813.714.533.3752 + 6.021.813.714.533.3762
16
290.097.923.300.337.707.733.003.329.790.09233
242.450.294.139.073.7662 + 2.450.294.139.073.7672 + … +
2.450.294.139.073.7702 + 2.450.294.139.073.7712
16
48.031.530.943.834.122.143.834.903.513.08432
232.311.832.320.635.4822 + 2.311.832.320.635.4832 + … +
2.311.832.320.635.4882 + 2.311.832.320.635.4892
16
42.756.549.429.878.833.887.892.494.565.72432
221.904.699.668.432.7992 + 1.904.699.668.432.8002 + … +
1.904.699.668.432.8052 + 1.904.699.668.432.8062
16
29.023.046.615.424.222.242.451.664.032.09232
211.904.665.004.560.1942 + 1.904.665.004.560.1952 + … +
1.904.665.004.560.2002 + 1.904.665.004.560.2012
16
29.021.990.236.770.377.307.763.209.912.09232
20760.971.445.026.4312 + 760.971.445.026.4312 + … +
760.971.445.026.4312 + 760.971.445.026.4312
15
4.632.620.321.164.958.594.611.230.262.36431
19745.499.954.999.5472 + 745.499.954.999.5482 + … +
745.499.954.999.5532 + 745.499.954.999.5542
15
4.446.161.463.234.654.564.323.641.616.44431
1870.963.996.389.6262 + 70.963.996.389.6272 + … + 70.963.996.389.6322 + 70.963.996.389.633214
40.287.110.268.698.789.686.201.178.20429
177.642.076.368.5062 + 7.642.076.368.5072 + … + 7.642.076.368.5122 + 7.642.076.368.513213
467.210.649.777.050.777.946.012.76427
167.455.004.499.5472 + 7.455.004.499.5482 + … + 7.455.004.499.5532 + 7.455.004.499.554213
444.616.736.706.545.607.637.616.44427
157.259.484.959.5322 + 7.259.484.959.5332 + … + 7.259.484.959.5382 + 7.259.484.959.539213
421.600.975.021.777.120.579.006.12427
146.066.499.582.4542 + 6.066.499.582.4552 + … + 6.066.499.582.4602 + 6.066.499.582.461213
294.419.337.471.656.174.733.914.49227
1376.252.089.7812 + 76.252.089.7822 + … + 76.252.089.7872 + 76.252.089.788211
46.515.049.572.027.594.051.56423
1260.707.103.5292 + 60.707.103.5302 + … + 60.707.103.5352 + 60.707.103.536211
29.482.819.354.445.391.828.49223
117.454.999.5472 + 7.454.999.5482 + … + 7.454.999.5532 + 7.454.999.554210
444.616.146.383.641.616.44421
101.917.875.6042 + 1.917.875.6052 + … + 1.917.875.6122 + 1.917.875.613210
29.425.974.766.747.952.49220
9745.500.4462 + 745.500.4472 + … + 745.500.4522 + 745.500.45329
4.446.167.361.637.616.44419
8602.986.0442 + 602.986.0452 + … + 602.986.0502 + 602.986.05129
2.908.737.387.837.378.09219
774.549.5472 + 74.549.5482 + … + 74.549.5532 + 74.549.55428
44.461.083.838.016.44417
67.628.2122 + 7.628.2132 + … + 7.628.2182 + 7.628.21927
465.517.373.715.56415
5602.2992 + 602.3002 + 602.3012 + 602.3022 + 602.3032 + 602.3042 + 602.3052 + 602.30626
2.902.146.412.09213
460.6392 + 60.6402 + 60.6412 + 60.6422 + 60.6432 + 60.6442 + 60.6452 + 60.64625
29.420.102.49211
36.0242 + 6.0252 + 6.0262 + 6.0272 + 6.0282 + 6.0292 + 6.0302 + 6.03124
290.646.0929
25992 + 6002 + 6012 + 6022 + 6032 + 6042 + 6052 + 60623
2.904.0927
1712 + 722 + 732 + 742 + 752 + 762 + 772 + 7822
44.4445

[SUSQ9] Sums of Squares of NINE Consecutive Integers
Entries added by Patrick De Geest
Index 1 up to 14 [ July 3, 2023 ]
Index 15 and 16 [ July 21, 2023 ]
No even-length palindromes exist!
161.024.046.790.546.298.685.965.662.6572 + 1.024.046.790.546.298.685.965.662.6582 + … +
1.024.046.790.546.298.685.965.662.6642 + 1.024.046.790.546.298.685.965.662.6652
28
9.438.046.463.053.574.386.084.368.456.548.634.806.834.753.503.646.408.34955
158.418.418.922.408.859.014.078.6542 + 8.418.418.922.408.859.014.078.6552 + … +
8.418.418.922.408.859.014.078.6612 + 8.418.418.922.408.859.014.078.6622
25
637.827.994.378.543.815.047.405.191.504.740.518.345.873.499.728.73651
14706.842.547.278.119.3702 + 706.842.547.278.119.3712 + … +
706.842.547.278.119.3772 + 706.842.547.278.119.3782
18
4.496.637.479.783.583.802.083.853.879.747.366.94437
1337.252.579.423.357.5732 + 37.252.579.423.357.5742 + … +
37.252.579.423.357.5802 + 37.252.579.423.357.5812
17
12.489.792.063.242.079.097.024.236.029.798.42135
128.804.185.700.033.4482 + 8.804.185.700.033.4492 + … +
8.804.185.700.033.4552 + 8.804.185.700.033.4562
16
697.623.172.566.061.727.160.665.271.326.79633
118.069.410.711.476.4712 + 8.069.410.711.476.4722 + … +
8.069.410.711.476.4882 + 8.069.410.711.476.4892
16
586.038.503.074.421.434.124.470.305.830.68533
101.034.142.517.618.5952 + 1.034.142.517.618.5962 + … +
1.034.142.517.618.6022 + 1.034.142.517.618.6032
16
9.625.056.720.718.809.088.170.276.505.26931
942.706.771.441.4292 + 42.706.771.441.4302 + … + 42.706.771.441.4362 + 42.706.771.441.437214
16.414.814.942.557.175.524.941.841.46129
86.910.770.803.9322 + 6.910.770.803.9332 + … + 6.910.770.803.9392 + 6.910.770.803.940213
429.828.777.940.808.049.777.828.92427
71.015.600.243.3672 + 1.015.600.243.3682 + … + 10.156.002.433.742 + 1.015.600.243.375213
9.282.994.689.017.109.864.992.82925
67.058.602.1722 + 7.058.602.1732 + … + 7.058.602.1792 + 7.058.602.180210
448.414.782.111.287.414.84421
568.9822 + 68.9832 + 68.9842 + 68.9852 + 68.9862 + 68.9872 + 68.9882 + 68.9892 + 68.99025
42.831.613.82411
436.8692 + 36.8702 + 36.8712 + 36.8722 + 36.8732 + 36.8742 + 3.68752 + 36.8762 + 36.87725
12.236.563.22111
38.2742 + 8.2752 + 8.2762 + 8.2772 + 8.2782 + 8.2792 + 8.2802 + 8.2812 + 8.28224
616.727.6169
28642 + 8652 + 8662 + 8672 + 8682 + 8692 + 8702 + 8712 + 87223
6.780.8767
145 + 52 + 62 + 72 + 82 + 92 + 102 + 112 + 1221 - 2
6363

[SUSQ10] Sums of Squares of TEN Consecutive Integers
Entries added by Patrick De Geest
Index 1 up to 16 [ July 4, 2023 ]
Index 17 up to 28 [ July 22, 2023 ]
28762.822.192.941.087.387.594.324.2852 + 762.822.192.941.087.387.594.324.2862 + … +
762.822.192.941.087.387.594.324.2932 + 762.822.192.941.087.387.594.324.2942
27
5.818.976.980.434.495.526.221.575.936.395.751.226.255.944.340.896.798.18555
27708.238.332.735.419.802.345.068.3222 + 708.238.332.735.419.802.345.068.3232 + … +
708.238.332.735.419.802.345.068.3302 + 708.238.332.735.419.802.345.068.3312
27
5.016.015.359.558.472.128.061.240.456.540.421.608.212.748.559.535.106.10555
26707.360.277.029.636.941.970.263.8642 + 707.360.277.029.636.941.970.263.8652 + … +
707.360.277.029.636.941.970.263.8722 + 707.360.277.029.636.941.970.263.8732
27
5.003.585.615.194.447.199.639.158.998.998.519.369.917.444.915.165.853.00555
257.094.286.358.335.770.548.368.6622 + 7.094.286.358.335.770.548.368.6632 + … +
7.094.286.358.335.770.548.368.6702 + 7.094.286.358.335.770.548.368.6712
25
503.288.989.340.690.090.055.327.616.723.550.090.096.043.989.882.30551
24739.091.386.598.511.305.912.5482 + 739.091.386.598.511.305.912.5492 + … +
739.091.386.598.511.305.912.5562 + 739.091.386.598.511.305.912.5572
24
5.462.560.777.441.100.976.053.726.273.506.790.011.447.770.652.64549
2376.427.669.665.074.490.053.9112 + 76.427.669.665.074.490.053.9122 + … +
76.427.669.665.074.490.053.9192 + 76.427.669.665.074.490.053.9202
23
58.411.886.904.337.474.146.929.692.964.147.473.340.968.811.48547
2271.109.714.639.962.026.018.7892 + 71.109.714.639.962.026.018.7902 + … +
71.109.714.639.962.026.018.7972 + 71.109.714.639.962.026.018.7982
23
50.565.915.161.768.296.916.653.235.661.969.286.716.151.956.50547
212.413.975.059.180.116.670.3162 + 2.413.975.059.180.116.670.3172 + … +
2.413.975.059.180.116.670.3242 + 2.413.975.059.180.116.670.3252
22
58.272.755.863.436.477.807.600.670.877.463.436.855.727.28544
20712.880.958.612.545.587.6872 + 712.880.958.612.545.587.6882 + … +
712.880.958.612.545.587.6952 + 712.880.958.612.545.587.6962
21
5.081.992.611.523.419.351.195.911.539.143.251.162.991.80543
19710.922.401.190.724.500.3142 + 710.922.401.190.724.500.3152 + … +
710.922.401.190.724.500.3222 + 710.922.401.190.724.500.3232
21
5.054.106.605.147.854.404.282.824.044.587.415.066.014.50543
18707.648.582.582.913.973.9272 + 707.648.582.582.913.973.9282 + … +
707.648.582.582.913.973.9352 + 707.648.582.582.913.973.9362
21
5.007.665.164.316.072.185.010.105.812.706.134.615.667.00543
1776.784.840.135.287.606.3612 + 76.784.840.135.287.606.3622 + … +
76.784.840.135.287.606.3692 + 76.784.840.135.287.606.3702
20
58.959.116.746.016.744.358.185.344.761.064.761.195.98541
167.673.059.342.909.318.6152 + 7.673.059.342.909.318.6162 + … +
7.673.059.342.909.318.6232 + 7.673.059.342.909.318.6242
19
588.758.396.798.079.844.212.448.970.897.693.857.88539
15714.069.089.116.909.2342 + 714.069.089.116.909.2352 + … +
714.069.089.116.909.2422 + 714.069.089.116.909.2432
18
5.098.946.640.322.524.678.764.252.230.466.498.90537
142.256.983.914.610.3822 + 2.256.983.914.610.3832 + … +
2.256.983.914.610.3902 + 2.256.983.914.610.3912
16
50.939.763.908.100.244.200.180.936.793.90532
13735.586.816.803.5982 + 735.586.816.803.5992 + … +
735.586.816.803.6062 + 735.586.816.803.6072
15
5.410.879.650.552.566.652.550.569.780.14531
12711.631.203.385.2722 + 711.631.203.385.2732 + … +
711.631.203.385.2802 + 711.631.203.385.2812
15
5.064.189.696.315.767.675.136.969.814.60531
11764.141.248.9652 + 764.141.248.9662 + … + 764.141.248.9732 + 764.141.248.974212
5.839.118.483.766.673.848.119.38525
10242.496.951.6762 + 242.496.951.6772 + … + 242.496.951.6842 + 242.496.951.685212
588.047.715.743.347.517.740.88524
97.099.786.6842 + 7.099.786.6852 + … + 7.099.786.6922 + 7.099.786.693210
504.069.710.222.017.960.40521
82.419.367.7212 + 2.419.367.7222 + … + 2.419.367.7292 + 2.419.367.730210
58.533.401.911.910.433.58520
7225.541.8122 + 225.541.8132 + … + 225.541.8202 + 225.541.82129
508.691.109.901.196.80518
673.940.2232 + 73.940.2242 + 73.940.2252 + … + 73.940.2302 + 73.940.2312 + 73.940.23228
54.671.572.427.517.64517
573.909.8682 + 73.909.8692 + 73.909.8702 + … + 73.909.8752 + 73.909.8762 + 73.909.87728
54.626.692.529.662.64517
473.891.9882 + 73.891.9892 + 73.891.9902 + … + 73.891.9952 + 73.891.9962 + 73.891.99728
54.600.265.556.200.64517
376.6252 + 76.6262 + 76.6272 + … + 76.6322 + 76.6332 + 76.63425
58.720.802.78511
27092 + 7102 + 7112 + 7122 + 7132 + 7142 + 7152 + 7162 + 7172 + 71823
5.090.9057
122 + 32 + 42 + 52 + 62 + 72 + 82 + 92 + 102 + 1121 - 2
5053

[SUSQ11] Sums of Squares of ELEVEN Consecutive Integers
Entries added by Patrick De Geest
Index 1 up to 61 [ July 6, 2023 ]
Index 62 up to 83 [ July 22, 2023 ]
83114.677.948.655.448.469.830.307.5062 + 114.677.948.655.448.469.830.307.5072 + … +
114.677.948.655.448.469.830.307.5152 + 114.677.948.655.448.469.830.307.5162
27
144.661.350.986.038.430.603.090.281.182.090.306.034.830.689.053.166.44154
82112.983.682.309.587.573.794.843.4342 + 112.983.682.309.587.573.794.843.4352 + … +
112.983.682.309.587.573.794.843.4432 + 112.983.682.309.587.573.794.843.4442
27
140.418.437.150.571.932.807.627.860.068.726.708.239.175.051.734.814.04154
8141.364.417.751.789.101.975.882.1262 + 41.364.417.751.789.101.975.882.1272 + … +
41.364.417.751.789.101.975.882.1352 + 41.364.417.751.789.101.975.882.1362
26
18.821.165.615.389.779.241.145.465.356.454.114.297.798.351.656.112.88153
8023.813.568.461.128.461.633.742.2112 + 23.813.568.461.128.461.633.742.2122 + … +
23.813.568.461.128.461.633.742.2202 + 23.813.568.461.128.461.633.742.2212
26
6.237.946.471.381.373.851.745.289.229.825.471.583.731.831.746.497.32652
7923.066.112.406.098.030.496.016.2602 + 23.066.112.406.098.030.496.016.2612 + … +
23.066.112.406.098.030.496.016.2692 + 23.066.112.406.098.030.496.016.2702
26
5.852.500.956.838.244.210.883.301.991.033.880.124.428.386.590.052.58552
7812.274.620.024.520.540.750.511.0662 + 12.274.620.024.520.540.750.511.0672 + … +
12.274.620.024.520.540.750.511.0752 + 12.274.620.024.520.540.750.511.0762
26
1.657.329.264.209.967.044.568.666.556.668.654.407.699.024.629.237.56152
777.540.412.625.643.349.969.781.6792 + 7.540.412.625.643.349.969.781.6802 + … +
7.540.412.625.643.349.969.781.6882 + 7.540.412.625.643.349.969.781.6892
25
625.436.048.214.578.030.037.126.818.621.730.030.875.412.840.634.52651
762.486.610.538.095.367.452.060.8912 + 2.486.610.538.095.367.452.060.8922 + … +
2.486.610.538.095.367.452.060.9002 + 2.486.610.538.095.367.452.060.9012
25
68.015.551.649.836.261.532.190.388.309.123.516.263.894.615.551.08650
751.295.358.655.580.359.510.523.5642 + 1.295.358.655.580.359.510.523.5652 + … +
1.295.358.655.580.359.510.523.5732 + 1.295.358.655.580.359.510.523.5742
25
18.457.494.512.456.521.008.006.899.860.080.012.565.421.549.475.48150
741.075.353.482.862.788.584.567.0462 + 1.075.353.482.862.788.584.567.0472 + … +
1.075.353.482.862.788.584.567.0552 + 1.075.353.482.862.788.584.567.0562
25
12.720.236.244.156.427.162.357.100.175.326.172.465.144.263.202.72150
731.052.698.005.579.718.016.122.2442 + 1.052.698.005.579.718.016.122.2452 + … +
1.052.698.005.579.718.016.122.2532 + 1.052.698.005.579.718.016.122.2542
25
12.189.904.000.466.676.257.454.688.645.475.267.666.400.040.998.12150
72915.056.418.612.690.783.108.0222 + 915.056.418.612.690.783.108.0232 + … +
915.056.418.612.690.783.108.0312 + 915.056.418.612.690.783.108.0322
24
9.210.610.741.687.123.901.443.104.013.441.093.217.861.470.160.12949
71199.521.799.695.417.304.977.5232 + 199.521.799.695.417.304.977.5242 + … +
199.521.799.695.417.304.977.5322 + 199.521.799.695.417.304.977.5332
24
437.898.434.090.680.474.706.314.413.607.474.086.090.434.898.73448
70194.467.104.346.151.551.657.5372 + 194.467.104.346.151.551.657.5382 + … +
194.467.104.346.151.551.657.5462 + 194.467.104.346.151.551.657.5472
24
415.992.001.400.546.952.828.898.898.828.259.645.004.100.299.51448
6911.600.670.342.086.993.685.7062 + 11.600.670.342.086.993.685.7072 + … +
11.600.670.342.086.993.685.7152 + 11.600.670.342.086.993.685.7162
23
1.480.331.076.243.544.438.138.998.318.344.453.426.701.330.84146
68755.099.986.980.000.055.5792 + 755.099.986.980.000.055.5802 + … +
755.099.986.980.000.055.5882 + 755.099.986.980.000.055.5892
21
6.271.935.893.709.158.788.096.908.878.519.073.985.391.72643
67409.618.484.944.105.728.5642 + 409.618.484.944.105.728.5652 + … +
409.618.484.944.105.728.5732 + 409.618.484.944.105.728.5742
21
1.845.660.335.286.950.285.791.975.820.596.825.330.665.48143
66203.854.057.497.947.626.3972 + 203.854.057.497.947.626.3982 + … +
203.854.057.497.947.626.4062 + 203.854.057.497.947.626.4072
21
457.121.244.342.141.905.669.966.509.141.243.442.121.75442
6597.642.351.896.275.280.0542 + 97.642.351.896.275.280.0552 + … +
97.642.351.896.275.280.0632 + 97.642.351.896.275.280.0642
20
104.874.317.722.196.580.575.575.085.691.227.713.478.40142
6423.373.374.598.588.045.7392 + 23.373.374.598.588.045.7402 + … +
23.373.374.598.588.045.7482 + 23.373.374.598.588.045.7492
20
6.009.461.041.385.129.773.663.779.215.831.401.649.00640
6312.276.010.268.353.331.0662 + 12.276.010.268.353.331.0672 + … +
12.276.010.268.353.331.0752 + 12.276.010.268.353.331.0762
20
1.657.704.709.195.880.658.888.560.885.919.074.077.56140
6211.470.873.693.487.491.9842 + 11.470.873.693.487.491.9852 + … +
11.470.873.693.487.491.9932 + 11.470.873.693.487.491.9942
20
1.447.390.376.211.377.139.449.317.731.126.730.937.44140
617.394.694.548.491.960.1892 + 7.394.694.548.491.960.1902 + … +
7.394.694.548.491.960.1982 + 7.394.694.548.491.960.1992
19
601.496.582.120.463.865.363.568.364.021.285.694.10639
602.424.492.985.667.531.0712 + 2.424.492.985.667.531.0722 + … +
2.424.492.985.667.531.0802 + 2.424.492.985.667.531.0812
19
64.659.828.613.061.649.522.594.616.031.682.895.64638
592.307.472.718.272.536.8102 + 2.307.472.718.272.536.8112 + … +
2.307.472.718.272.536.8192 + 2.307.472.718.272.536.8202
19
58.568.733.801.292.550.600.605.529.210.833.786.58538
582.071.167.316.361.978.2632 + 2.071.167.316.361.978.2642 + … +
2071.167.316.361.978.2722 + 2.071.167.316.361.978.2732
19
47.187.074.576.026.868.688.686.862.067.547.078.17438
57245.620.073.137.586.0312 + 245.620.073.137.586.0322 + … +
245.620.073.137.586.0402 + 245.620.073.137.586.0412
18
663.621.423.609.244.247.742.442.906.324.126.36636
56239.175.801.864.662.4792 + 239.175.801.864.662.4802 + … +
239.175.801.864.662.4882 + 239.175.801.864.662.4892
18
629.255.706.173.647.147.741.746.371.607.552.92636
55194.068.619.876.058.3872 + 194.068.619.876.058.3882 + … +
194.068.619.876.058.3962 + 194.068.619.876.058.3972
18
414.288.921.426.578.510.015.875.624.129.882.41436
54116.220.651.815.589.4562 + 116.220.651.815.589.4572 + … +
116.220.651.815.589.4652 + 116.220.651.815.589.4662
18
148.579.638.992.845.256.652.548.299.836.975.84136
5323.918.367.857.292.4792 + 23.918.367.857.292.4802 + … +
23.918.367.857.292.4882 + 23.918.367.857.292.4892
17
6.292.971.530.524.384.774.834.250.351.792.92634
5220.702.293.880.386.7632 + 20.702.293.880.386.7642 + … +
20.702.293.880.386.7722 + 20.702.293.880.386.7732
17
4.714.434.691.008.893.663.988.001.964.344.17434
5112.334.444.764.692.4162 + 12.334.444.764.692.4172 + … +
12.334.444.764.692.4252 + 12.334.444.764.692.4262
17
1.673.523.804.185.731.001.375.814.083.253.76134
5010.606.737.485.758.6442 + 10.606.737.485.758.6452 + … +
10.606.737.485.758.6532 + 10.606.737.485.758.6542
17
1.237.531.681.009.774.774.779.001.861.357.32134
499.820.026.843.373.9542 + 9.820.026.843.373.9552 + … +
9.820.026.843.373.9632 + 9.820.026.843.373.9642
16
1.060.762.199.250.436.336.340.529.912.670.60134
482.307.176.956.796.8802 + 2.307.176.956.796.8812 + … +
2.307.176.956.796.8892 + 2.307.176.956.796.8902
16
58.553.720.609.719.888.891.790.602.735.58532
471.225.184.500.261.9242 + 1.225.184.500.261.9252 + … +
1.225.184.500.261.9332 + 1.225.184.500.261.9342
16
16.511.847.656.502.799.720.565.674.811.56132
46667.440.014.425.6072 + 667.440.014.425.6082 + … +
667.440.014.425.6162 + 667.440.014.425.6172
15
4.900.237.901.421.072.701.241.097.320.09431
45235.162.270.990.6512 + 235.162.270.990.6522 + … +
235.162.270.990.6602 + 235.162.270.990.6612
15
608.314.230.672.310.013.276.032.413.80630
4496.737.485.169.6542 + 96.737.485.169.6552 + … + 96.737.485.169.6632 + 96.737.485.169.664214
102.939.551.406.449.944.604.155.939.20130
4395.423.328.611.2362 + 95.423.328.611.2372 + … + 95.423.328.611.2452 + 95.423.328.611.246214
100.161.728.075.737.737.570.827.161.00130
4229.859.187.721.2782 + 29.859.187.721.2792 + … + 29.859.187.721.2872 + 29.859.187.721.288214
9.807.282.005.122.992.215.002.827.08928
4124.605.538.828.1312 + 24.605.538.828.1322 + … + 24.605.538.828.1402 + 24.605.538.828.141214
6.659.757.951.251.991.521.597.579.56628
4020.445.190.077.6972 + 20.445.190.077.6982 + … + 20.445.190.077.7062 + 20.445.190.077.707214
4.598.063.770.447.007.440.773.608.95428
393.854.992.161.2742 + 3.854.992.161.2752 + … + 3.854.992.161.2832 + 3.854.992.161.284213
163.470.610.198.747.891.016.074.36127
383.138.307.807.6362 + 3.138.307.807.6372 + … + 3.138.307.807.6452 + 3.138.307.807.646213
108.338.734.850.505.058.437.833.80127
372.926.932.308.0882 + 2.926.932.308.0892 + … + 2.926.932.308.0972 + 2.926.932.308.098213
94.236.260.097.744.779.006.263.24926
362.304.066.545.9002 + 2.304.066.545.9012 + … + 2.304.066.545.9092 + 2.304.066.545.910213
58.395.949.127.544.572.194.959.38526
352.028.485.836.8432 + 2.028.485.836.8442 + … + 2.028.485.836.8522 + 2.028.485.836.853213
45.262.302.693.222.239.620.326.25426
34728.081.967.8502 + 728.081.967.8512 + … + 728.081.967.8592 + 728.081.967.860212
5.831.136.871.071.701.786.311.38525
33298.792.155.7282 + 298.792.155.7292 + … + 298.792.155.7372 + 298.792.155.738212
982.044.275.603.306.572.440.28924
3231.113.166.9542 + 31.113.166.9552 + … + 31.113.166.9632 + 31.113.166.964211
10.648.320.740.404.702.384.60123
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10.478.230.400.000.403.287.40123
3030.490.910.5862 + 30.490.910.5872 + … + 30.490.910.5952 + 30.490.910.596211
10.226.651.915.351.915.662.20123
2913.030.923.5262 + 13.030.923.5272 + … + 13.030.923.5352 + 13.030.923.536211
1.867.854.648.778.464.587.68122
289.757.818.1862 + 9.757.818.1872 + … + 9.757.818.1952 + 9.757.818.196210
1.047.365.174.334.715.637.40122
271.943.248.5372 + 1.943.248.5382 + … + 1.943.248.5462 + 1.943.248.547210
41.538.363.855.836.383.51420
26242.363.4192 + 242.363.4202 + … + 242.363.4282 + 242.363.42929
646.140.322.223.041.64618
25194.414.5372 + 194.414.5382 + … 194.414.5462 + 194.414.54729
415.767.155.551.767.51418
2498.454.0362 + 98.454.0372 + 98.454.0382 + … + 98.454.0442 + 98.454.0452 + 98.454.04628
106.625.180.081.526.60118
2335.962.4062 + 35.962.4072 + 35.962.4082 + … + 35.962.4142 + 35.962.4152 + 35.962.41628
14.226.245.054.262.24117
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4.796.209.009.026.97416
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4.121.667.117.661.21416
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58.591.188.119.58514
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4.906.818.186.09413
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585.878.878.58512
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474.449.944.47412
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43.076.067.03411
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4.533.883.35410
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64.633.6468
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49.066.0948
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16.399.3618
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4.338.3347
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944.4496
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494.4946
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188.8816
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161.1616
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6.4464
262 + 72 + 82 + 92 + 102 + 112 + 122 + 132 + 142 + 152 + 1621 - 2
1.4414
142 + 52 + 62 + 72 + 82 + 92 + 102 + 112 + 122 + 132 + 1421 - 2
1.0014

Contributions

Jean Claude Rosa - go to entry sum of 2 squares - go to entry sum of 3 squares

Robert Xiao - See info in headings

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