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Palindromic Merlon Primes
Sorted By Length
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rood Palindromic Merlon Primes


Palindromic Merlon Primes - Sorted By Length




PMP
( A0????? )
Formula
exp = # of digits
Length 5 Total = 8
1(8)11(8)11 8*(105–1)/9 – 7*104 – 7*102 – 7
3(2)13(2)13 2*(105–1)/9 + 104 + 102 + 1
3(5)13(5)13 5*(105–1)/9 – 2*104 – 2*102 – 2
7(2)17(2)17 2*(105–1)/9 + 5*104 + 5*102 + 5
7(4)17(4)17 4*(105–1)/9 + 3*104 + 3*102 + 3
7(8)17(8)17 8*(105–1)/9 – 104 – 102 – 1
9(4)19(4)19 4*(105–1)/9 + 5*104 + 5*102 + 5
9(5)19(5)19 5*(105–1)/9 + 4*104 + 4*102 + 4
Length 7 Total = 9
1(2)21(2)21 2*(107–1)/9 – 106 – 103 – 1
1(5)21(5)21 5*(107–1)/9 – 4*106 – 4*103 – 4
1(8)21(8)21 8*(107–1)/9 – 7*106 – 7*103 – 7
3(2)23(2)23 2*(107–1)/9 + 106 + 103 + 1
3(4)23(4)23 4*(107–1)/9 – 106 – 103 – 1
3(5)23(5)23 5*(107–1)/9 – 2*106 – 2*103 – 2
3(7)23(7)23 7*(107–1)/9 – 4*106 – 4*103 – 4
9(7)29(7)29 7*(107–1)/9 + 2*106 + 2*103 + 2
9(8)29(8)29 8*(107–1)/9 + 106 + 103 + 1
Length 11 Total = 10
1(2)41(2)41 2*(1011–1)/9 – 1010 – 105 – 1
1(7)41(7)41 7*(1011–1)/9 – 6*1010 – 6*105 – 6
3(4)43(4)43 4*(1011–1)/9 – 1010 – 105 – 1
3(7)43(7)43 7*(1011–1)/9 – 4*1010 – 4*105 – 4
7(2)47(2)47 2*(1011–1)/9 + 5*1010 + 5*105 + 5
7(8)47(8)47 8*(1011–1)/9 – 1010 – 105 – 1
9(1)49(1)49 (1011–1)/9 + 8*1010 + 8*105 + 8
9(2)49(2)49 2*(1011–1)/9 + 7*1010 + 7*105 + 7
9(4)49(4)49 4*(1011–1)/9 + 5*1010 + 5*105 + 5
9(8)49(8)49 8*(1011–1)/9 + 1010 + 105 + 1
Length 13 Total = 1
3(2)53(2)53 2*(1013–1)/9 + 1012 + 106 + 1
Length 17 Total = 4
3(4)73(4)73 4*(1017–1)/9 – 1016 – 108 – 1
7(2)77(2)77 2*(1017–1)/9 + 5*1016 + 5*108 + 5
9(1)79(1)79 (1017–1)/9 + 8*1016 + 8*108 + 8
9(4)79(4)79 4*(1017–1)/9 + 5*1016 + 5*108 + 5
Length 19 Total = 4
1(5)81(5)81 5*(1019–1)/9 – 4*1018 – 4*109 – 4
3(8)83(8)83 8*(1019–1)/9 – 5*1018 – 5*109 – 5
9(2)89(2)89 2*(1019–1)/9 + 7*1018 + 7*109 + 7
9(8)89(8)89 8*(1019–1)/9 + 1018 + 109 + 1
Length 23 Total = 1
3(8)103(8)103 8*(1023–1)/9 – 5*1022 – 5*1011 – 5
Length 25 Total = 1
1(2)111(2)111 2*(1025–1)/9 – 1024 – 1012 – 1
Length 31 Total = 2
3(8)143(8)143 8*(1031–1)/9 – 5*1030 – 5*1015 – 5
9(8)149(8)149 8*(1031–1)/9 + 1030 + 1015 + 1
Length 35 Total = 1
3(1)163(1)163 (1035–1)/9 + 2*1034 + 2*1017 + 2
Length 37 Total = 1
3(5)173(5)173 5*(1037–1)/9 – 2*1036 – 2*1018 – 2
Length 43 Total = 2
3(5)203(5)203 5*(1043–1)/9 – 2*1042 – 2*1021 – 2
9(4)209(4)209 4*(1043–1)/9 + 5*1042 + 5*1021 + 5
Length 47 Total = 3
1(7)221(7)221 7*(1047–1)/9 – 6*1046 – 6*1023 – 6
3(4)223(4)223 4*(1047–1)/9 – 1046 – 1023 – 1
7(2)227(2)227 2*(1047–1)/9 + 5*1046 + 5*1023 + 5
Length 55 Total = 3
3(4)263(4)263 4*(1055–1)/9 – 1054 – 1027 – 1
3(5)263(5)263 5*(1055–1)/9 – 2*1054 – 2*1027 – 2
9(2)269(2)269 2*(1055–1)/9 + 7*1054 + 7*1027 + 7
Length 61 Total = 2
7(2)297(2)297 2*(1061–1)/9 + 5*1060 + 5*1030 + 5
9(1)299(1)299 (1061–1)/9 + 8*1060 + 8*1030 + 8
Length 67 Total = 2
1(5)321(5)321 5*(1067–1)/9 – 4*1066 – 4*1033 – 4
9(8)329(8)329 8*(1067–1)/9 + 1066 + 1033 + 1
Length 79 Total = 1
9(5)389(5)389 5*(1079–1)/9 + 4*1078 + 4*1039 + 4
Length 83 Total = 1
9(7)409(7)409 7*(1083–1)/9 + 2*1082 + 2*1041 + 2
Length 89 Total = 1
3(1)433(1)433 (1089–1)/9 + 2*1088 + 2*1044 + 2
Length 91 Total = 1
1(4)441(4)441 4*(1091–1)/9 – 3*1090 – 3*1045 – 3
Length 95 Total = 1
9(1)469(1)469 (1095–1)/9 + 8*1094 + 8*1047 + 8
Length 97 Total = 1
3(7)473(7)473 7*(1097–1)/9 – 4*1096 – 4*1048 – 4
Length 101 Total = 1
7(2)497(2)497 2*(10101–1)/9 + 5*10100 + 5*1050 + 5
Length 113 Total = 1
7(1)557(1)557 (10113–1)/9 + 6*10112 + 6*1056 + 6
Length 115 Total = 1
9(8)569(8)569 8*(10115–1)/9 + 10114 + 1057 + 1
Length 119 Total = 1
9(1)589(1)589 (10119–1)/9 + 8*10118 + 8*1059 + 8
Length 121 Total = 1
3(7)593(7)593 7*(10121–1)/9 – 4*10120 – 4*1060 – 4
Length 131 Total = 1
1(4)641(4)641 4*(10131–1)/9 – 3*10130 – 3*1065 – 3
Length 137 Total = 1
3(8)673(8)673 8*(10137–1)/9 – 5*10136 – 5*1068 – 5
Length 139 Total = 1
9(1)689(1)689 (10139–1)/9 + 8*10138 + 8*1069 + 8
Length 143 Total = 1
3(7)703(7)703 7*(10143–1)/9 – 4*10142 – 4*1071 – 4
Length 149 Total = 1
7(2)737(2)737 2*(10149–1)/9 + 5*10148 + 5*1074 + 5
Length 169 Total = 2
7(2)837(2)837 2*(10169–1)/9 + 5*10168 + 5*1084 + 5
9(1)839(1)839 (10169–1)/9 + 8*10168 + 8*1084 + 8
Length 175 Total = 1
3(1)863(1)863 (10175–1)/9 + 2*10174 + 2*1087 + 2
Length 239 Total = 1
7(2)1187(2)1187 2*(10239–1)/9 + 5*10238 + 5*10119 + 5
Length 245 Total = 1
7(4)1217(4)1217 4*(10245–1)/9 + 3*10244 + 3*10122 + 3
Length 247 Total = 1
3(7)1223(7)1223 7*(10247–1)/9 – 4*10246 – 4*10123 – 4
Length 257 Total = 1
7(8)1277(8)1277 8*(10257–1)/9 – 10256 – 10128 – 1
Length 259 Total = 2 [ Largest duo ]
1(5)1281(5)1281 5*(10259–1)/9 – 4*10258 – 4*10129 – 4
3(7)1283(7)1283 7*(10259–1)/9 – 4*10258 – 4*10129 – 4
Length 293 Total = 1
1(8)1451(8)1451 8*(10293–1)/9 – 7*10292 – 7*10146 – 7
Length 317 Total = 1
3(5)1573(5)1573 5*(10317–1)/9 – 2*10316 – 2*10158 – 2
Length 349 Total = 1
9(5)1739(5)1739 5*(10349–1)/9 + 4*10348 + 4*10174 + 4
Length 367 Total = 1
3(4)1823(4)1823 4*(10367–1)/9 – 10366 – 10183 – 1
Length 407 Total = 1
9(2)2029(2)2029 2*(10407–1)/9 + 7*10406 + 7*10203 + 7
Length 413 Total = 1
3(4)2053(4)2053 4*(10413–1)/9 – 10412 – 10206 – 1
Length 485 Total = 1
7(2)2417(2)2417 2*(10485–1)/9 + 5*10484 + 5*10242 + 5
Length 511 Total = 1
1(8)2541(8)2541 8*(10511–1)/9 – 7*10510 – 7*10255 – 7
Length 599 Total = 1
9(7)2989(7)2989 7*(10599–1)/9 + 2*10598 + 2*10299 + 2
Length 635 Total = 1
1(7)3161(7)3161 7*(10635–1)/9 – 6*10634 – 6*10317 – 6
Length 661 Total = 1
7(8)3297(8)3297 8*(10661–1)/9 – 10660 – 10330 – 1
Length 731 Total = 1
3(8)3643(8)3643 8*(10731–1)/9 – 5*10730 – 5*10365 – 5
Length 767 Total = 1
9(8)3829(8)3829 8*(10767–1)/9 + 10766 + 10383 + 1
Length 887 Total = 1
1(7)4421(7)4421 7*(10887–1)/9 – 6*10886 – 6*10443 – 6
Length 955 Total = 1
3(4)4763(4)4763 4*(10955–1)/9 – 10954 – 10477 – 1
Length 991 Total = 1
1(5)4941(5)4941 5*(10991–1)/9 – 4*10990 – 4*10495 – 4
Length 1021 Total = 1
9(4)5099(4)5099 4*(101021–1)/9 + 5*101020 + 5*10510 + 5
Length 1043 Total = 1
7(4)5207(4)5207 4*(101043–1)/9 + 3*101042 + 3*10521 + 3
Length 1159 Total = 1
3(8)5783(8)5783 8*(101159–1)/9 – 5*101158 – 5*10579 – 5
Length 1231 Total = 1
3(5)6143(5)6143 5*(101231–1)/9 – 2*101230 – 2*10615 – 2
Length 1609 Total = 1
7(8)8037(8)8037 8*(101609–1)/9 – 101608 – 10804 – 1
Length 1669 Total = 1
3(5)8333(5)8333 5*(101669–1)/9 – 2*101668 – 2*10834 – 2
Length 1699 Total = 1
3(8)8483(8)8483 8*(101699–1)/9 – 5*101698 – 5*10849 – 5
Length 1913 Total = 1
9(1)9559(1)9559 (101913–1)/9 + 8*101912 + 8*10956 + 8
Length 2309 Total = 1
3(1)11533(1)11533 (102309–1)/9 + 2*102308 + 2*101154 + 2
Length 2323 Total = 1
9(1)11609(1)11609 (102323–1)/9 + 8*102322 + 8*101161 + 8
Length 2531 Total = 1
7(4)12647(4)12647 4*(102531–1)/9 + 3*102530 + 3*101265 + 3
Length 2641 Total = 1
3(4)13193(4)13193 4*(102641–1)/9 – 102640 – 101320 – 1
Length 2989 Total = 1
9(5)14939(5)14939 5*(102989–1)/9 + 4*102988 + 4*101494 + 4
Length 3257 Total = 1
1(8)16271(8)16271 8*(103257–1)/9 – 7*103256 – 7*101628 – 7

From here on not all pmp's are prime proven!
Length 3563 Total = 1
7(4)17807(4)17807 4*(103563–1)/9 + 3*103562 + 3*101781 + 3
Length 3629 Total = 1
1(8)18131(8)18131 8*(103629–1)/9 – 7*103628 – 7*101814 – 7
Length 3683 Total = 1
7(8)18407(8)18407 8*(103683–1)/9 – 103682 – 101841 – 1
Length 3809 Total = 1
3(2)19033(2)19033 2*(103809–1)/9 + 103808 + 101904 + 1
Length 4139 Total = 1
9(2)20689(2)20689 2*(104139–1)/9 + 7*104138 + 7*102069 + 7
Length 4787 Total = 1
1(2)23921(2)23921 2*(104787–1)/9 – 104786 – 102393 – 1
Length 5909 Total = 1
3(2)29533(2)29533 2*(105909–1)/9 + 105908 + 102954 + 1
Length 6155 Total = 1
3(8)30763(8)30763 8*(106155–1)/9 – 5*106154 – 5*103077 – 5
Length 6725 Total = 1
3(5)33613(5)33613 5*(106725–1)/9 – 2*106724 – 2*103362 – 2
Length 6829 Total = 1
3(2)34133(2)34133 2*(106829–1)/9 + 106828 + 103414 + 1
Length 7265 Total = 1
3(5)36313(5)36313 5*(107265–1)/9 – 2*107264 – 2*103632 – 2
Length 7691 Total = 1
3(5)38443(5)38443 5*(107691–1)/9 – 2*107690 – 2*103845 – 2
Length 8525 Total = 1
1(5)42611(5)42611 5*(108525–1)/9 – 4*108524 – 4*104262 – 4
Length 11011 Total = 1
9(1)55049(1)55049 (1011011–1)/9 + 8*1011010 + 8*105505 + 8
Length 12191 Total = 1
3(7)60943(7)60943 7*(1012191–1)/9 – 4*1012190 – 4*106095 – 4
Length 12539 Total = 1
9(1)62689(1)62689 (1012539–1)/9 + 8*1012538 + 8*106269 + 8
Length 12751 Total = 1
9(2)63749(2)63749 2*(1012751–1)/9 + 7*1012750 + 7*106375 + 7
Length 15683 Total = 1
3(8)78403(8)78403 8*(1015683–1)/9 – 5*1015682 – 5*107841 – 5
Length 17051 Total = 1
3(7)85243(7)85243 7*(1017051–1)/9 – 4*1017050 – 4*108525 – 4
Length 18301 Total = 1
1(4)91491(4)91491 4*(1018301–1)/9 – 3*1018300 – 3*109150 – 3
Length 18583 Total = 1
9(1)92909(1)92909 (1018583–1)/9 + 8*1018582 + 8*109291 + 8
Length 27533 Total = 1
1(5)137651(5)137651 5*(1027533–1)/9 – 4*1027532 – 4*1013766 – 4
Length 28415 Total = 1
3(8)142063(8)142063 8*(1028415–1)/9 – 5*1028414 – 5*1014207 – 5
Length 37631 Total = 1
1(2)188141(2)1881412*(1037631–1)/9 – 1037630 – 1018815 – 1
Length 37981 Total = 1
3(7)189893(7)189893 7*(1037981–1)/9 – 4*1037980 – 4*1018990 – 4
Length 38801 Total = 1
3(8)193993(8)193993 8*(1038801–1)/9 – 5*1038800 – 5*1019400 – 5
Length 43535 Total = 1
9(1)217669(1)217669 (1043535–1)/9 + 8*1043534 + 8*1021767 + 8
Length 45655 Total = 1
1(4)228261(4)228261 4*(1045655–1)/9 – 3*1045654 – 3*1022827 – 3
Length 45983 Total = 1
9(5)229909(5)229919 5*(1045983–1)/9 + 4*1045982 + 4*1022991 + 4
Length 46795 Total = 1
3(8)233963(8)233963 8*(1046795–1)/9 – 5*1046794 – 5*1023397 – 5
Length 52547 Total = 1
7(5)262727(5)262727 5*(1052547–1)/9 + 2*1052546 + 2*1026273 + 2

















































 

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