PDP
( A082720 ) | Formula exp = # of digits |
Length 3 |  Total = 15 |
1(0)11 |
0*(1031)/9 + (102+1) |
1(3)11 |
(1031)/3 2*(102+1) |
1(5)11 |
5*(1031)/9 4*(102+1) |
1(8)11 |
8*(1031)/9 7*(102+1) |
1(9)11 |
(1031) 8*(102+1) |
3(1)13 |
(1031)/9 + 2*(102+1) |
3(5)13 |
5*(1031)/9 2*(102+1) |
3(7)13 |
7*(1031)/9 4*(102+1) |
3(8)13 |
8*(1031)/9 5*(102+1) |
7(2)17 |
2*(1031)/9 + 5*(102+1) |
7(5)17 |
5*(1031)/9 + 2*(102+1) |
7(8)17 |
8*(1031)/9 (102+1) |
7(9)17 |
(1031) 2*(102+1) |
9(1)19 |
(1031)/9 + 8*(102+1) |
9(2)19 |
2*(1031)/9 + 7*(102+1) |
Length 5 |  Total = 9 |
1(3)31 |
(1051)/3 2*(104+1) |
1(5)31 |
5*(1051)/9 4*(104+1) |
1(6)31 |
2*(1051)/3 5*(104+1) |
1(9)31 |
(1051) 8*(104+1) |
7(2)37 |
2*(1051)/9 + 5*(104+1) |
7(5)37 |
5*(1051)/9 + 2*(104+1) |
7(6)37 |
2*(1051)/3 + (104+1) |
7(8)37 |
8*(1051)/9 (104+1) |
7(9)37 |
(1051) 2*(104+1) |
Length 7 |  Total = 8 |
1(3)51 |
(1071)/3 2*(106+1) |
1(4)51 |
4*(1071)/9 3*(106+1) |
1(7)51 |
7*(1071)/9 6*(106+1) |
3(2)53 |
2*(1071)/9 + (106+1) |
3(4)53 |
4*(1071)/9 (106+1) |
7(6)57 |
2*(1071)/3 + (106+1) |
9(2)59 |
2*(1071)/9 + 7*(106+1) |
9(8)59 |
8*(1071)/9 + (106+1) |
Length 9 |  Total = 5 |
1(8)71 |
8*(1091)/9 7*(108+1) |
1(9)71 |
(1091) 8*(108+1) |
3(2)73 |
2*(1091)/9 + (108+1) |
3(5)73 |
5*(1091)/9 2*(108+1) |
7(2)77 |
2*(1091)/9 + 5*(108+1) |
Length 11 |  Total = 2 |
7(4)97 |
4*(10111)/9 + 3*(1010+1) |
7(5)97 |
5*(10111)/9 + 2*(1010+1) |
Length 13 |  Total = 5 |
1(6)111 |
2*(10131)/3 5*(1012+1) |
3(1)113 |
(10131)/9 + 2*(1012+1) |
3(4)113 |
4*(10131)/9 (1012+1) |
3(8)113 |
8*(10131)/9 5*(1012+1) |
9(2)119 |
2*(10131)/9 + 7*(1012+1) |
Length 15 |  Total = 3 |
1(8)131 |
8*(10151)/9 7*(1014+1) |
3(1)133 |
(10151)/9 + 2*(1014+1) |
3(7)133 |
7*(10151)/9 4*(1014+1) |
Length 17 |  Total = 1 |
1(6)151 |
2*(10171)/3 5*(1016+1) |
Length 19 |  Total = 1 |
1(6)171 |
2*(10191)/3 5*(1018+1) |
Length 21 |  Total = 2 |
1(5)191 |
5*(10211)/9 4*(1020+1) |
7(5)197 |
5*(10211)/9 + 2*(1020+1) |
Length 23 |  Total = 1 |
7(5)217 |
5*(10231)/9 + 2*(1022+1) |
Length 29 |  Total = 2 |
7(2)277 |
2*(10291)/9 + 5*(1028+1) |
7(9)277 |
(10291) 2*(1028+1) |
Length 31 |  Total = 3 |
3(1)293 |
(10311)/9 + 2*(1030+1) |
3(8)293 |
8*(10311)/9 5*(1030+1) |
7(4)297 |
4*(10311)/9 + 3*(1030+1) |
Length 33 |  Total = 1 |
1(5)311 |
5*(10331)/9 4*(1032+1) |
Length 37 |  Total = 1 |
1(6)351 |
2*(10371)/3 5*(1036+1) |
Length 41 |  Total = 2 |
1(8)391 |
8*(10411)/9 7*(1040+1) |
1(9)391 |
(10411) 8*(1040+1) |
Length 49 |  Total = 1 |
1(7)471 |
7*(10491)/9 6*(1048+1) |
Length 53 |  Total = 1 |
1(6)511 |
2*(10531)/3 5*(1052+1) |
Length 55 |  Total = 2 |
3(7)533 |
7*(10551)/9 4*(1054+1) |
7(6)537 |
2*(10551)/3 + (1054+1) |
Length 59 |  Total = 1 |
7(5)577 |
5*(10591)/9 + 2*(1058+1) |
Length 61 |  Total = 1 |
3(8)593 |
8*(10611)/9 5*(1060+1) |
Length 65 |  Total = 1 |
7(2)637 |
2*(10651)/9 + 5*(1064+1) |
Length 67 |  Total = 1 |
1(4)651 |
4*(10671)/9 3*(1066+1) |
Length 69 |  Total = 1 |
3(7)673 |
7*(10691)/9 4*(1068+1) |
Length 73 |  Total = 2 |
1(6)711 |
2*(10731)/3 5*(1072+1) |
9(8)719 |
8*(10731)/9 + (1072+1) |
Length 75 |  Total = 1 |
7(5)737 |
5*(10751)/9 + 2*(1074+1) |
Length 83 |  Total = 1 |
7(5)817 |
5*(10831)/9 + 2*(1082+1) |
Length 85 |  Total = 1 |
3(7)833 |
7*(10851)/9 4*(1084+1) |
Length 87 |  Total = 3 |
1(9)851 |
(10871) 8*(1086+1) |
3(7)853 |
7*(10871)/9 4*(1086+1) |
7(8)857 |
8*(10871)/9 (1086+1) |
Length 93 |  Total = 1 |
1(8)911 |
8*(10931)/9 7*(1092+1) |
Length 95 |  Total = 1 |
1(3)931 |
(10951)/3 2*(1094+1) |
Length 97 |  Total = 2 |
7(6)957 |
2*(10971)/3 + (1096+1) |
9(8)959 |
8*(10971)/9 + (1096+1) |
Length 101 |  Total = 1 |
1(6)991 |
2*(101011)/3 5*(10100+1) |
Length 103 |  Total = 1 |
1(7)1011 |
7*(101031)/9 6*(10102+1) |
Length 105 |  Total = 1 |
3(1)1033 |
(101051)/9 + 2*(10104+1) |
Length 111 |  Total = 1 |
9(2)1099 |
2*(101111)/9 + 7*(10110+1) |
Length 113 |  Total = 1 |
7(8)1117 |
8*(101131)/9 (10112+1) |
Length 115 |  Total = 1 |
9(8)1139 |
8*(101151)/9 + (10114+1) |
Length 117 |  Total = 1 |
3(8)1153 |
8*(101171)/9 5*(10116+1) |
Length 121 |  Total = 1 |
7(4)1197 |
4*(101211)/9 + 3*(10120+1) |
Length 127 |  Total = 1 |
3(1)1253 |
(101271)/9 + 2*(10126+1) |
Length 129 |  Total = 1 |
1(8)1271 |
8*(101291)/9 7*(10128+1) |
Length 141 |  Total = 1 |
3(5)1393 |
5*(101411)/9 2*(10140+1) |
Length 157 |  Total = 2 [ Largest duo ] |
3(7)1553 |
7*(101571)/9 4*(10156+1) |
7(9)1557 |
(101571) 2*(10156+1) |
Length 161 |  Total = 1 |
1(3)1591 |
(101611)/3 2*(10160+1) |
Length 171 |  Total = 1 |
7(8)1697 |
8*(101711)/9 (10170+1) |
Length 193 |  Total = 1 |
1(7)1911 |
7*(101931)/9 6*(10192+1) |
Length 201 |  Total = 1 |
1(9)1991 |
(102011) 8*(10200+1) |
Length 205 |  Total = 1 |
9(8)2039 |
8*(102051)/9 + (10204+1) |
Length 209 |  Total = 1 |
7(5)2077 |
5*(102091)/9 + 2*(10208+1) |
Length 231 |  Total = 1 |
3(5)2293 |
5*(102311)/9 2*(10230+1) |
Length 247 |  Total = 1 |
9(1)2459 |
(102471)/9 + 8*(10246+1) |
Length 291 |  Total = 1 |
3(8)2893 |
8*(102911)/9 5*(10290+1) |
Length 323 |  Total = 1 |
7(9)3217 |
(103231) 2*(10322+1) |
Length 343 |  Total = 1 |
3(1)3413 |
(103431)/9 + 2*(10342+1) |
Length 351 |  Total = 1 |
7(5)3497 |
5*(103511)/9 + 2*(10350+1) |
Length 353 |  Total = 1 |
7(9)3517 |
(103531) 2*(10352+1) |
Length 361 |  Total = 1 |
1(3)3591 |
(103611)/3 2*(10360+1) |
Length 367 |  Total = 1 |
1(7)3651 |
7*(103671)/9 6*(10366+1) |
Length 401 |  Total = 1 |
1(5)3991 |
5*(104011)/9 4*(10400+1) |
Length 423 |  Total = 1 |
7(5)4217 |
5*(104231)/9 + 2*(10422+1) |
Length 427 |  Total = 1 |
3(5)4253 |
5*(104271)/9 2*(10426+1) |
Length 455 |  Total = 1 |
7(6)4537 |
2*(104551)/3 + (10454+1) |
Length 463 |  Total = 1 |
3(5)4613 |
5*(104631)/9 2*(10462+1) |
Length 485 |  Total = 1 |
7(4)4837 |
4*(104851)/9 + 3*(10484+1) |
Length 493 |  Total = 1 |
3(4)4913 |
4*(104931)/9 (10492+1) |
Length 563 |  Total = 1 |
1(5)5611 |
5*(105631)/9 4*(10562+1) |
Length 567 |  Total = 1 |
7(8)5657 |
8*(105671)/9 (10566+1) |
Length 575 |  Total = 1 |
7(6)5737 |
2*(105751)/3 + (10574+1) |
Length 601 |  Total = 1 |
3(1)5993 |
(106011)/9 + 2*(10600+1) |
Length 633 |  Total = 1 |
3(8)6313 |
8*(106331)/9 5*(10632+1) |
Length 725 |  Total = 1 |
7(2)7237 |
2*(107251)/9 + 5*(10724+1) |
Length 727 |  Total = 1 |
3(5)7253 |
5*(107271)/9 2*(10726+1) |
Length 731 |  Total = 1 |
1(9)7291 |
(107311) 8*(10730+1) |
Length 885 |  Total = 1 |
1(8)8831 |
8*(108851)/9 7*(10884+1) |
Length 895 |  Total = 1 |
3(2)8933 |
2*(108951)/9 + (10894+1) |
Length 985 |  Total = 1 |
9(8)9839 |
8*(109851)/9 + (10984+1) |
Length 1003 |  Total = 1 |
1(7)10011 |
7*(1010031)/9 6*(101002+1) |
Length 1065 |  Total = 1 |
3(8)10633 |
8*(1010651)/9 5*(101064+1) |
Length 1141 |  Total = 1 |
9(1)11399 |
(1011411)/9 + 8*(101140+1) |
Length 1213 |  Total = 1 |
7(9)12117 |
(1012131) 2*(101212+1) |
Length 1227 |  Total = 1 |
9(8)12259 |
8*(1012271)/9 + (101226+1) |
Length 1255 |  Total = 1 |
1(4)12531 |
4*(1012551)/9 3*(101254+1) |
Length 1285 |  Total = 1 |
7(9)12837 |
(1012851) 2*(101284+1) |
Length 1461 |  Total = 1 |
1(9)14591 |
(1014611) 8*(101460+1) |
Length 1471 |  Total = 1 |
1(3)14691 |
(1014711)/3 2*(101470+1) |
Length 1487 |  Total = 1 |
7(4)14857 |
4*(1014871)/9 + 3*(101486+1) |
Length 1495 |  Total = 1 |
3(8)14933 |
8*(1014951)/9 5*(101494+1) |
Length 1525 |  Total = 1 |
3(2)15233 |
2*(1015251)/9 + (101524+1) |
Length 1579 |  Total = 1 |
7(4)15777 |
4*(1015791)/9 + 3*(101578+1) |
Length 1689 |  Total = 1 |
7(8)16877 |
8*(1016891)/9 (101688+1) |
Length 1787 |  Total = 1 |
7(2)17857 |
2*(1017871)/9 + 5*(101786+1) |
Length 1975 |  Total = 1 |
3(5)19733 |
5*(1019751)/9 2*(101974+1) |
Length 2767 |  Total = 1 |
3(7)27653 |
7*(1027671)/9 4*(102766+1) |
Length 2899 |  Total = 1 |
1(3)28971 |
(1028991)/3 2*(102898+1) |
Length 3037 |  Total = 1 |
3(2)30353 |
2*(1030371)/9 + (103036+1) |
Length 3095 |  Total = 1 |
1(3)30931 |
(1030951)/3 2*(103094+1) |
Length 3113 |  Total = 1 |
1(3)31111 |
(1031131)/3 2*(103112+1) |
Length 3381 |  Total = 1 |
3(7)33793 |
7*(1033811)/9 4*(103380+1) |
Length 3385 |  Total = 1 |
7(6)33837 |
2*(1033851)/3 + (103384+1) |
Length 3609 |  Total = 1 |
9(2)36079 |
2*(1036091)/9 + 7*(103608+1) |
Length 3813 |  Total = 1 |
7(5)38117 |
5*(1038131)/9 + 2*(103812+1) |
Length 3877 |  Total = 1 |
3(7)38753 |
7*(1038771)/9 4*(103876+1) |
Length 3983 |  Total = 1 |
7(5)39817 |
5*(1039831)/9 + 2*(103982+1) |
Length 4795 |  Total = 1 |
9(8)47939 |
8*(1047951)/9 + (104794+1) |
Length 5209 |  Total = 1 |
3(7)52073 |
7*(1052091)/9 4*(105208+1) |
Length 5433 |  Total = 1 |
3(8)54313 |
8*(1054331)/9 5*(105432+1) |
Length 5569 |  Total = 1 |
3(4)55673 |
4*(1055691)/9 (105568+1) |
Length 6233 |  Total = 1 |
1(6)62311 |
2*(1062331)/3 5*(106232+1) |
Length 7017 |  Total = 1 |
1(5)70151 |
5*(1070171)/9 4*(107016+1) |
Length 7231 |  Total = 1 |
3(5)72293 |
5*(1072311)/9 2*(107230+1) |
Length 7277 |  Total = 1 |
7(2)72757 |
2*(1072771)/9 + 5*(107276+1) |
Length 7363 |  Total = 1 |
3(8)73613 |
8*(1073631)/9 5*(107362+1) |
From here on not all PDP's are prime proven! |
Length 7985 |  Total = 1 |
7(9)79837 |
(1079851) 2*(107984+1) |
Length 8407 |  Total = 1 |
1(4)84051 |
4*(1084071)/9 3*(108406+1) |
Length 8903 |  Total = 1 |
7(8)89017 |
8*(1089031)/9 (108902+1) |
Length 9425 |  Total = 1 |
1(8)94231 |
8*(1094251)/9 7*(109424+1) |
Length 9825 |  Total = 1 |
3(1)98233 |
(1098251)/9 + 2*(109824+1) |
Length 10395 |  Total = 1 |
9(1)103939 |
(10103951)/9 + 8*(1010394+1) |
Length 10747 |  Total = 1 |
3(7)107453 |
7*(10107471)/9 4*(1010746+1) |
Length 10907 |  Total = 1 |
7(1)109057 |
(10109071)/9 + 6*(1010906+1) |
Length 11441 |  Total = 1 |
7(6)114397 |
2*(10114411)/3 + (1011440+1) |
Length 12625 |  Total = 1 |
7(6)126237 |
2*(10126251)/3 + (1012624+1) |
Length 13673 |  Total = 1 |
7(4)136717 |
4*(10136731)/9 + 3*(1013672+1) |
Length 13811 |  Total = 1 |
7(4)138097 |
4*(10138111)/9 + 3*(1013810+1) |
Length 14769 |  Total = 1 |
1(8)147671 |
8*(10147691)/9 7*(1014768+1) |
Length 15095 |  Total = 1 |
7(4)150937 |
4*(10150951)/9 + 3*(1015094+1) |
Length 15193 |  Total = 1 |
7(9)151917 |
(10151931) 2*(1015192+1) |
Length 15699 |  Total = 1 |
1(3)156971 |
(10156991)/3 2*(1015698+1) |
Length 15769 |  Total = 1 |
3(7)157673 |
7*(10157691)/9 4*(1015768+1) |
Length 17957 |  Total = 1 |
1(3)179551 |
(10179571)/3 2*(1017956+1) |
Length 19259 |  Total = 1 |
1(8)192571 |
8*(10192591)/9 7*(1019258+1) |
Length 19447 |  Total = 1 |
7(6)194457 |
2*(10194471)/3 + (1019446+1) |
Length 19463 |  Total = 1 |
7(2)194617 |
2*(10194631)/9 + 5*(1019462+1) |
Length 20365 |  Total = 1 |
1(7)203631 |
7*(10203651)/9 6*(1020364+1) |
Length 20721 |  Total = 1 |
9(8)207199 |
8*(10207211)/9 + (1020720+1) |
Length 20925 |  Total = 1 |
7(5)209237 |
5*(10209251)/9 + 2*(1020924+1) |
Length 21157 |  Total = 1 |
3(2)211553 |
2*(10211571)/9 + (1021156+1) |
Length 23673 |  Total = 1 |
1(9)236711 |
(10236731) + 8*(1023672+1) |
Length 23787 |  Total = 1 |
7(5)237857 |
5*(10237871)/9 + 2*(1023786+1) |
Length 24029 |  Total = 1 |
1(6)240271 |
2*(10240291)/3 5*(1024028+1) |
Length 24215 |  Total = 1 |
7(2)242137 |
2*(10242151)/9 + 5*(1024214+1) |
Length 24757 |  Total = 1 |
3(4)247553 |
4*(10247571)/9 (1024756+1) |
Length 28631 |  Total = 1 |
1(9)286291 |
(10286311) + 8*(1028630+1) |
Length 31235 |  Total = 1 |
1(8)312331 |
8*(10312351)/9 7*(1031234+1) |
Length 31317 |  Total = 1 |
3(7)313153 |
7*(10313171)/9 4*(1031316+1) |
Length 35461 |  Total = 1 |
7(6)354597 |
2*(10354611)/3 + (1035460+1) |
Length 37447 |  Total = 1 |
1(7)374451 |
7*(10374471)/9 6*(1037446+1) |
Length 37685 |  Total = 1 |
1(5)376831 |
5*(10376851)/9 4*(1037684+1) |
Length 37785 |  Total = 1 |
9(2)377839 |
2*(10377851)/9 + 7*(1037784+1) |
Length 38853 |  Total = 1 |
7(5)388517 |
5*(10388531)/9 + 2*(1038852+1) |
Length 40223 |  Total = 1 |
1(6)402211 |
2*(10402231)/3 5*(1040222+1) |
Length 40959 |  Total = 1 |
3(7)409573 |
7*(10409591)/9 4*(1040958+1) |
Length 42263 |  Total = 1 |
1(3)422611 |
(10422631)/3 2*(1042262+1) |
Length 43881 |  Total = 1 |
9(1)438799 |
(10438811)/9 + 8*(1043880+1) |
Length 45805 |  Total = 1 |
3(7)458033 |
7*(10458051)/9 4*(1045804+1) |
Length 45861 |  Total = 1 |
3(5)458593 |
5*(10458611)/9 2*(1045860+1) |
Length 46567 |  Total = 1 |
3(7)465653 |
7*(10465671)/9 4*(1046566+1) |
Length 47305 |  Total = 1 |
3(5)473033 |
5*(10473051)/9 2*(1047304+1) |
Length 51009 |  Total = 1 |
3(7)510073 |
7*(10510091)/9 4*(1051008+1) |
Length 51779 |  Total = 1 |
7(2)517777 |
2*(10517791)/9 + 5*(1051778+1) |
Length 56043 |  Total = 1 |
7(5)560417 |
5*(10560431)/9 + 2*(1056042+1) |
Length 56083 |  Total = 1 |
1(7)560811 |
7*(10560831)/9 6*(1056082+1) |
Length 66395 |  Total = 1 |
1(6)663931 |
2*(10663951)/3 5*(1066394+1) |
Length 67039 |  Total = 1 |
1(4)670371 |
4*(10670391)/9 3*(1067038+1) |
Length 68505 |  Total = 1 |
7(5)685037 |
5*(10685051)/9 + 2*(1068504+1) |
Length 72773 |  Total = 1 |
7(4)727717 |
4*(10727731)/9 + 3*(1072772+1) |
Length 74435 |  Total = 1 |
7(5)744337 |
5*(10744351)/9 + 2*(1074434+1) |
Length 80163 |  Total = 1 |
3(7)801613 |
7*(10801631)/9 4*(1080162+1) |
Length 81215 |  Total = 1 |
7(6)812137 |
2*(10812151)/3 + (1081214+1) |
Length 84773 |  Total = 1 |
7(9)847717 |
(10847731) 2*(1084772+1) |
Length 94213 |  Total = 1 |
7(4)942117 |
4*(10942131)/9 + 3*(1094212+1) |
Length 95327 |  Total = 1 |
7(6)953257 |
2*(10953271)/3 + (1095326+1) |
Length 111033 |  Total = 1 |
1(3)1110311 |
(101110331)/3 2*(10111032+1) |
Length 115811 |  Total = 1 |
7(8)1158097 |
8*(101158111)/9 (10115810+1) |
Length 119931 |  Total = 1 |
7(9)1199297 |
(101199311) 2*(10119930+1) |
Length 131393 |  Total = 1 |
7(2)1313917 |
2*(101313931)/9 + 5*(10131390+1) |
Length 133581 |  Total = 1 |
9(8)1335799 |
8*(101335811)/9 + (10133580+1) |
Length 148861 |  Total = 1 |
7(9)1488597 |
(101488611) 2*(10148860+1) |
Length 165717 |  Total = 1 |
7(8)1657157 |
8*(101657171)/9 (10165716+1) |
Length 181545 |  Total = 1 |
9(2)1815439 |
2*(101815451)/9 + 7*(10181544+1) |
Length 205511 |  Total = 1 |
7(5)2055097 |
5*(102055111)/9 + 2*(10205510+1) |
Length 207557 |  Total = 1 |
7(4)2075557 |
4*(102075571)/9 + 3*(10207556+1) |
Length 211263 |  Total = 1 |
1(5)2112611 |
5*(102112631)/9 4*(10211262+1) |
Length 219741 |  Total = 1 |
7(9)2197397 |
(102197411) 2*(10219740+1) |
Length 222719 |  Total = 1 |
1(5)2227171 |
5*(102227191)/9 4*(10222718+1) |
Length 249551 |  Total = 1 |
1(3)2495491 |
(102495511)/3 2*(10249550+1) |
Length 250337 |  Total = 1 |
1(5)2503351 |
5*(102503371)/9 4*(10250336+1) |
Length 283827 |  Total = 1 |
3(5)2838253 |
5*(102838271)/9 2*(10283826+1) |
Length 411591 |  Total = 1 |
9(8)4115899 |
8*(104115911)/9 + (10411590+1) |
Length 499211 |  Total = 1 |
7(1)4992097 |
(104992111)/9 + 6*(10499210+1) |
Length 1116677 |  Total = 1 |
7(4)11166757 |
4*(1011166771)/9 + 3*(101116676+1) |