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Palindromic Wing Primes
Sorted By Length
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rood Palindromic Wing Primes


Palindromic Wing Primes - Sorted By Length




PWP
( A077797 )
Formula
exp = # of digits
Length 3 Total = 15
(1)10(1)1 (103–1)/9 – 101
(1)13(1)1 (103–1)/9 + 2*101
(1)15(1)1 (103–1)/9 + 4*101
(1)18(1)1 (103–1)/9 + 7*101
(1)19(1)1 (103–1)/9 + 8*101
(3)11(3)1 (103–1)/3 – 2*101
(3)15(3)1 (103–1)/3 + 2*101
(3)17(3)1 (103–1)/3 + 4*101
(3)18(3)1 (103–1)/3 + 5*101
(7)12(7)1 7*(103–1)/9 – 5*101
(7)15(7)1 7*(103–1)/9 – 2*101
(7)18(7)1 7*(103–1)/9 + 101
(7)19(7)1 7*(103–1)/9 + 2*101
(9)11(9)1 (103–1) – 8*101
(9)12(9)1 (103–1) – 7*101
Length 5 Total = 6
(1)23(1)2 (105–1)/9 + 2*102
(1)24(1)2 (105–1)/9 + 3*102
(3)25(3)2 (105–1)/3 + 2*102
(7)23(7)2 7*(105–1)/9 – 4*102
(7)24(7)2 7*(105–1)/9 – 3*102
(7)29(7)2 7*(105–1)/9 + 2*102
Length 7 Total = 7
(1)34(1)3 (107–1)/9 + 3*103
(1)37(1)3 (107–1)/9 + 6*103
(3)31(3)3 (107–1)/3 – 2*103
(3)37(3)3 (107–1)/3 + 4*103
(7)32(7)3 7*(107–1)/9 – 5*103
(7)34(7)3 7*(107–1)/9 – 3*103
(7)38(7)3 7*(107–1)/9 + 103
Length 9 Total = 3
(1)48(1)4 (109–1)/9 + 7*104
(1)49(1)4 (109–1)/9 + 8*104
(7)46(7)4 7*(109–1)/9 – 104
Length 11 Total = 2
(7)56(7)5 7*(1011–1)/9 – 105
(9)51(9)5 (1011–1) – 8*105
Length 13 Total = 2
(1)68(1)6 (1013–1)/9 + 7*106
(7)64(7)6 7*(1013–1)/9 – 3*106
Length 15 Total = 7
(1)75(1)7 (1015–1)/9 + 4*107
(1)78(1)7 (1015–1)/9 + 7*107
(3)71(3)7 (1015–1)/3 – 2*107
(3)77(3)7 (1015–1)/3 + 4*107
(3)78(3)7 (1015–1)/3 + 5*107
(7)72(7)7 7*(1015–1)/9 – 5*107
(7)75(7)7 7*(1015–1)/9 – 2*107
Length 17 Total = 3
(7)86(7)8 7*(1017–1)/9 – 108
(7)89(7)8 7*(1017–1)/9 + 2*108
(9)82(9)8 (1017–1) – 7*108
Length 19 Total = 1
(9)92(9)9 (1019–1) – 7*109
Length 21 Total = 2
(1)106(1)10 (1021–1)/9 + 5*1010
(7)102(7)10 7*(1021–1)/9 – 5*1010
Length 23 Total = 2
(3)117(3)11 (1023–1)/3 + 4*1011
(7)116(7)11 7*(1023–1)/9 – 1011
Length 25 Total = 1
(7)122(7)12 7*(1025–1)/9 – 5*1012
Length 27 Total = 3
(3)137(3)13 (1027–1)/3 + 4*1013
(7)135(7)13 7*(1027–1)/9 – 2*1013
(9)131(9)13 (1027–1) – 8*1013
Length 29 Total = 2
(1)146(1)14 (1029–1)/9 + 5*1014
(9)144(9)14 (1029–1) – 5*1014
Length 35 Total = 2
(3)175(3)17 (1035–1)/3 + 2*1017
(3)177(3)17 (1035–1)/3 + 4*1017
Length 39 Total = 2
(1)193(1)19 (1039–1)/9 + 2*1019
(7)199(7)19 7*(1039–1)/9 + 2*1019
Length 41 Total = 1
(7)209(7)20 7*(1041–1)/9 + 2*1020
Length 45 Total = 1
(9)224(9)22 (1045–1) – 5*1022
Length 47 Total = 1
(7)234(7)23 7*(1047–1)/9 – 3*1023
Length 53 Total = 2
(1)269(1)26 (1053–1)/9 + 8*1026
(9)268(9)26 (1053–1) – 1026
Length 59 Total = 1
(3)297(3)29 (1059–1)/3 + 4*1029
Length 63 Total = 1
(3)317(3)31 (1063–1)/3 + 4*1031
Length 65 Total = 1
(1)324(1)32 (1065–1)/9 + 3*1032
Length 67 Total = 2
(1)337(1)33 (1067–1)/9 + 6*1033
(3)337(3)33 (1067–1)/3 + 4*1033
Length 73 Total = 2
(7)364(7)36 7*(1073–1)/9 – 3*1036
(9)364(9)36 (1073–1) – 5*1036
Length 79 Total = 1
(7)398(7)39 7*(1079–1)/9 + 1039
Length 81 Total = 1
(1)406(1)40 (1081–1)/9 + 5*1040
Length 87 Total = 1
(9)431(9)43 (1087–1) – 8*1043
Length 91 Total = 2
(1)454(1)45 (1091–1)/9 + 3*1045
(1)455(1)45 (1091–1)/9 + 4*1045
Length 109 Total = 1
(7)548(7)54 7*(10109–1)/9 + 1054
Length 117 Total = 1
(7)585(7)58 7*(10117–1)/9 – 2*1058
Length 119 Total = 1
(1)596(1)59 (10119–1)/9 + 5*1059
Length 123 Total = 1
(3)611(3)61 (10123–1)/3 – 2*1061
Length 139 Total = 1
(7)694(7)69 7*(10139–1)/9 – 3*1069
Length 155 Total = 1
(3)777(3)77 (10155–1)/3 + 4*1077
Length 159 Total = 1
(3)795(3)79 (10159–1)/3 + 2*1079
Length 171 Total = 1
(3)858(3)85 (10171–1)/3 + 5*1085
Length 177 Total = 1
(9)885(9)88 (10177–1) – 4*1088
Length 181 Total = 1
(3)901(3)90 (10181–1)/3 – 2*1090
Length 185 Total = 1
(3)921(3)92 (10185–1)/3 – 2*1092
Length 189 Total = 1
(3)948(3)94 (10189–1)/3 + 5*1094
Length 195 Total = 1
(1)973(1)97 (10195–1)/9 + 2*1097
Length 209 Total = 1
(9)1044(9)104 (10209–1) – 5*10104
Length 225 Total = 1
(9)1125(9)112 (10225–1) – 4*10112
Length 231 Total = 1
(1)1155(1)115 (10231–1)/9 + 4*10115
Length 233 Total = 1
(7)1161(7)116 7*(10233–1)/9 – 6*10116
Length 237 Total = 2
(3)1185(3)118 (10237–1)/3 + 2*10118
(9)1187(9)118 (10237–1) – 2*10118
Length 259 Total = 1
(7)1295(7)129 7*(10259–1)/9 – 2*10129
Length 321 Total = 1
(1)1606(1)160 (10321–1)/9 + 5*10160
Length 325 Total = 1
(3)1625(3)162 (10325–1)/3 + 2*10162
Length 337 Total = 1
(7)1688(7)168 7*(10337–1)/9 + 10168
Length 339 Total = 1
(9)1691(9)169 (10339–1) – 8*10169
Length 355 Total = 1
(3)1775(3)177 (10355–1)/3 + 2*10177
Length 363 Total = 1
(9)1811(9)181 (10363–1) – 8*10181
Length 371 Total = 1
(3)1855(3)185 (10371–1)/3 + 2*10185
Length 375 Total = 1
(1)1879(1)187 (10375–1)/9 + 8*10187
Length 397 Total = 1
(9)1985(9)198 (10397–1) – 4*10198
Length 425 Total = 1
(7)2129(7)212 7*(10425–1)/9 + 2*10212
Length 453 Total = 1
(1)2269(1)226 (10453–1)/9 + 8*10226
Length 481 Total = 2 [ Largest duo ]
(3)2405(3)240 (10481–1)/3 + 2*10240
(7)2408(7)240 7*(10481–1)/9 + 10240
Length 507 Total = 1
(7)2535(7)253 7*(10507–1)/9 – 2*10253
Length 539 Total = 1
(3)2691(3)269 (10539–1)/3 – 2*10269
Length 547 Total = 1
(3)2738(3)273 (10547–1)/3 + 5*10273
Length 561 Total = 1
(7)2809(7)280 7*(10561–1)/9 + 2*10280
Length 597 Total = 1
(3)2981(3)298 (10597–1)/3 – 2*10298
Length 623 Total = 1
(1)3117(1)311 (10623–1)/9 + 6*10311
Length 643 Total = 1
(3)3211(3)321 (10643–1)/3 – 2*10321
Length 705 Total = 1
(9)3522(9)352 (10705–1) – 7*10352
Length 713 Total = 1
(3)3568(3)356 (10713–1)/3 + 5*10356
Length 743 Total = 1
(3)3711(3)371 (10743–1)/3 – 2*10371
Length 757 Total = 1
(9)3788(9)378 (10757–1) – 10378
Length 769 Total = 1
(1)3848(1)384 (10769–1)/9 + 7*10384
Length 825 Total = 1
(1)4126(1)412 (10825–1)/9 + 5*10412
Length 961 Total = 1
(7)4802(7)480 7*(10961–1)/9 – 5*10480
Length 1061 Total = 1
(9)5302(9)530 (101061–1) – 7*10530
Length 1121 Total = 1
(1)5606(1)560 (101121–1)/9 + 5*10560
Length 1123 Total = 1
(7)5614(7)561 7*(101123–1)/9 – 3*10561
Length 1245 Total = 1
(9)6225(9)622 (101245–1) – 4*10622
Length 1333 Total = 1
(1)6668(1)666 (101333–1)/9 + 7*10666
Length 1351 Total = 1
(1)6758(1)675 (101351–1)/9 + 7*10675
Length 1363 Total = 1
(1)6815(1)681 (101363–1)/9 + 4*10681
Length 1395 Total = 1
(9)6972(9)697 (101395–1) – 7*10697
Length 1447 Total = 1
(7)7234(7)723 7*(101447–1)/9 – 3*10723
Length 1553 Total = 1
(3)7761(3)776 (101553–1)/3 – 2*10776
Length 1649 Total = 1
(3)8245(3)824 (101649–1)/3 + 2*10824
Length 1749 Total = 1
(1)8749(1)874 (101749–1)/9 + 8*10874
Length 1775 Total = 1
(7)8879(7)887 7*(101775–1)/9 + 2*10887
Length 1867 Total = 1
(3)9337(3)933 (101867–1)/3 + 4*10933
Length 1899 Total = 1
(7)9492(7)949 7*(101899–1)/9 – 5*10949
Length 2043 Total = 1
(7)10219(7)1021 7*(102043–1)/9 + 2*101021
Length 2155 Total = 1
(3)10778(3)1077 (102155–1)/3 + 5*101077
Length 2273 Total = 1
(9)11364(9)1136 (102273–1) – 5*101136
Length 2489 Total = 1
(7)12446(7)1244 7*(102489–1)/9 – 101244
Length 2493 Total = 1
(9)12468(9)1246 (102493–1) – 101246
Length 2497 Total = 1
(1)12485(1)1248 (102497–1)/9 + 4*101248
Length 2579 Total = 1
(1)12896(1)1289 (102579–1)/9 + 5*101289
Length 2631 Total = 1
(9)13152(9)1315 (102631–1) – 7*101315
Length 3089 Total = 1
(1)15444(1)1544 (103089–1)/9 + 3*101544
Length 3111 Total = 1
(3)15557(3)1555 (103111–1)/3 + 4*101555
Length 3135 Total = 1
(3)15671(3)1567 (103135–1)/3 – 2*101567
Length 3159 Total = 1
(9)15791(9)1579 (103159–1) – 8*101579
Length 3315 Total = 1
(7)16575(7)1657 7*(103315–1)/9 – 2*101657
Length 3371 Total = 1
(7)16856(7)1685 7*(103371–1)/9 – 101685
Length 3595 Total = 1
(3)17978(3)1797 (103595–1)/3 + 5*101797
Length 3597 Total = 1
(9)17988(9)1798 (103597–1) – 101798
Length 3641 Total = 1
(3)18205(3)1820 (103641–1)/3 + 2*101820
Length 3693 Total = 1
(1)18466(1)1846 (103693–1)/9 + 5*101846
Length 3837 Total = 1
(9)19182(9)1918 (103837–1) – 7*101918
Length 3891 Total = 1
(7)19452(7)1945 7*(103891–1)/9 – 5*101945
Length 4019 Total = 1
(7)20096(7)2009 7*(104019–1)/9 – 102009
Length 4489 Total = 1
(7)22445(7)2244 7*(104489–1)/9 – 2*102244
Length 4709 Total = 1
(3)23545(3)2354 (104709–1)/3 + 2*102354
Length 4769 Total = 1
(3)23841(3)2384 (104769–1)/3 – 2*102384
Length 4875 Total = 1
(7)24375(7)2437 7*(104875–1)/9 – 2*102437
Length 4963 Total = 1
(1)24815(1)2481 (104963–1)/9 + 4*102481
Length 5133 Total = 1
(3)25661(3)2566 (105133–1)/3 – 2*102566
Length 5379 Total = 1
(1)26895(1)2689 (105379–1)/9 + 4*102689
Length 5749 Total = 1
(9)28742(9)2874 (105749–1) – 7*102874
Length 5835 Total = 1
(9)29178(9)2917 (105835–1) – 102917
Length 5867 Total = 1
(1)29337(1)2933 (105867–1)/9 + 6*102933
Length 6177 Total = 1
(3)30881(3)3088 (106177–1)/3 – 2*103088
Length 6331 Total = 1
(1)31658(1)3165 (106331–1)/9 + 7*103165
Length 6877 Total = 1
(7)34384(7)3438 7*(106877–1)/9 – 3*103438

From here on not all PWP's are prime proven!
Length 8209 Total = 1
(7)41044(7)4104 7*(108209–1)/9 – 3*104104
Length 8457 Total = 1
(9)42285(9)4228 (108457–1) – 4*104228
Length 10657 Total = 1
(7)53288(7)5328 7*(1010657–1)/9 + 105328
Length 11031 Total = 1
(7)55159(7)5515 7*(1011031–1)/9 + 2*105515
Length 11733 Total = 1
(3)58661(3)5866 (1011733–1)/3 – 2*105866
Length 11753 Total = 1
(9)58762(9)5876 (1011753–1) – 7*105876
Length 12319 Total = 1
(7)61598(7)6159 7*(1012319–1)/9 + 106159
Length 12397 Total = 1
(1)61985(1)6198 (1012397–1)/9 + 4*106198
Length 13517 Total = 1
(3)67588(3)6758 (1013517–1)/3 + 5*106758
Length 13537 Total = 1
(9)67682(9)6768 (1013537–1) – 7*106768
Length 15097 Total = 1
(7)75482(7)7548 7*(1015097–1)/9 – 5*107548
Length 15849 Total = 1
(7)79245(7)7924 7*(1015849–1)/9 – 2*107924
Length 16103 Total = 1
(3)80511(3)8051 (1016103–1)/3 – 2*108051
Length 16233 Total = 1
(7)81169(7)8116 7*(1016233–1)/9 + 2*108116
Length 17847 Total = 1
(7)89232(7)8923 7*(1017847–1)/9 – 5*108923
Length 18041 Total = 1
(7)90204(7)9020 7*(1018041–1)/9 – 3*109020
Length 18997 Total = 1
(3)94981(3)9498 (1018997–1)/3 – 2*109498
Length 19637 Total = 1
(1)98183(1)9818 (1019637–1)/9 + 2*109818
Length 19807 Total = 1
(7)99035(7)9903 7*(1019807–1)/9 – 2*109903
Length 20105 Total = 1
(9)100525(9)10052 (1020105–1) – 4*1010052
Length 23517 Total = 1
(3)117587(3)11758 (1023517–1)/3 + 4*1011758
Length 23705 Total = 1
(7)118529(7)11852 7*(1023705–1)/9 + 2*1011852
Length 23799 Total = 1
(7)118995(7)11899 7*(1023799–1)/9 – 2*1011899
Length 25271 Total = 1
(3)126351(3)12635 (1025271–1)/3 – 2*1012635
Length 26395 Total = 1
(1)131975(1)13197 (1026395–1)/9 + 4*1013197
Length 26619 Total = 1
(1)133099(1)13309 (1026619–1)/9 + 8*1013309
Length 27955 Total = 1
(7)139774(7)13977 7*(1027955–1)/9 – 3*1013977
Length 29315 Total = 1
(7)146576(7)14657 7*(1029315–1)/9 – 1014657
Length 30237 Total = 1
(7)151186(7)15118 7*(1030237–1)/9 – 1015118
Length 35729 Total = 1
(9)178644(9)17864 (1035729–1) – 5*1017864
Length 36155 Total = 1
(9)180771(9)18077 (1036155–1) – 8*1018077
Length 36315 Total = 1
(7)181575(7)18157 7*(1036315–1)/9 – 2*1018157
Length 37915 Total = 1
(7)189575(7)18957 7*(1037915–1)/9 – 2*1018957
Length 39311 Total = 1
(7)196554(7)19655 7*(1039311–1)/9 – 3*1019655
Length 40665 Total = 1
(7)203326(7)20332 7*(1040665–1)/9 – 1020332
Length 44471 Total = 1
(1)222357(1)22235 (1044471–1)/9 + 6*1022235
Length 45305 Total = 1
(9)226521(9)22652 (1045305–1) – 8*1022652
Length 46069 Total = 1
(9)230348(9)23034 (1046069–1) – 1023034
Length 47331 Total = 1
(7)236655(7)23665 7*(1047331–1)/9 – 2*1023665
Length 49025 Total = 1
(3)245121(3)24512 (1049025–1)/3 – 2*1024512
Length 49351 Total = 1
(7)246758(7)24675 7*(1049351–1)/9 + 1024675
Length 50897 Total = 1
(9)254484(9)25448 (1050897–1) – 5*1025448
Length 60465 Total = 1
(3)302328(3)30232 (1060465–1)/3 + 5*1030232
Length 64801 Total = 1
(7)324004(7)32400 7*(1064801–1)/9 – 3*1032400
Length 65043 Total = 1
(3)325211(3)32521 (1065043–1)/3 – 2*1032521
Length 78331 Total = 1
(1)391657(1)39165 (1078331–1)/9 + 6*1039165
Length 83171 Total = 1
(1)415857(1)41585 (1083171–1)/9 + 6*1041585
Length 87965 Total = 1
(3)439821(3)43982 (1087965–1)/3 – 2*1043982
Length 95019 Total = 1
(9)475098(9)47509 (1095019–1) – 1047509
Length 101661 Total = 1
(7)508306(7)50830 7*(10101661–1)/9 – 1050830
Length 104281 Total = 1
(9)521408(9)52140 (10104281–1) – 1052140
Length 104455 Total = 1
(7)522278(7)52227 7*(10104455–1)/9 + 1052227
Length 111725 Total = 1
(9)558625(9)55862 (10111725–1) – 4*1055862
Length 120253 Total = 1
(1)601265(1)60126 (10120253–1)/9 + 4*1060126
Length 125877 Total = 1
(9)629382(9)62938 (10125877–1) – 7*1062938
Length 134809 Total = 1
(9)674048(9)67404 (10134809–1) – 1067404
Length 150125 Total = 1
(7)750626(7)75062 7*(10150125–1)/9 – 1075062
Length 200145 Total = 1
(1)1000725(1)100072 (10200145–1)/9 + 4*10100072
Length 211219 Total = 1
(7)1056095(7)105609 7*(10211219–1)/9 – 2*10105609
Length 235415 Total = 1
(3)1177077(3)117707 (10235415–1)/3 + 4*10117707
Length 269479 Total = 1
(9)1347392(9)134739 (10269479–1) – 7*10134739
Length 290253 Total = 1
(9)1451267(9)145126 (10290253–1) – 2*10145126
Length 314727 Total = 1
(9)1573631(9)157363 (10314727–1) – 8*10157363
Length 1888529 Total = 1
(9)9442648(9)944264 (101888529–1) – 10944264














 

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E-mail address : pdg@worldofnumbers.com