World!Of Numbers | |||
Plateau and Depression Primes Sorted By Length | |||
1 2 3 4 5 6 Plateau and Depression Primes |
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) |
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