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Palindromic Merlon Primes Sorted By Length
1   2   3   4   5   6  Palindromic Merlon Primes

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)188141	2*(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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( © All rights reserved ) - Last modified : April 6, 2023.

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E–mail address : pdg@worldofnumbers.com

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