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Plateau and Depression Primes – Sorted By Length

PDP
( A082720 )
Formula
exp = # of digits
Length 3 Total = 15
1(0)11 0*(103–1)/9 + (102+1)
1(3)11 (103–1)/3 – 2*(102+1)
1(5)11 5*(103–1)/9 – 4*(102+1)
1(8)11 8*(103–1)/9 – 7*(102+1)
1(9)11 (103–1) – 8*(102+1)
3(1)13 (103–1)/9 + 2*(102+1)
3(5)13 5*(103–1)/9 – 2*(102+1)
3(7)13 7*(103–1)/9 – 4*(102+1)
3(8)13 8*(103–1)/9 – 5*(102+1)
7(2)17 2*(103–1)/9 + 5*(102+1)
7(5)17 5*(103–1)/9 + 2*(102+1)
7(8)17 8*(103–1)/9 – (102+1)
7(9)17 (103–1) – 2*(102+1)
9(1)19 (103–1)/9 + 8*(102+1)
9(2)19 2*(103–1)/9 + 7*(102+1)
Length 5 Total = 9
1(3)31 (105–1)/3 – 2*(104+1)
1(5)31 5*(105–1)/9 – 4*(104+1)
1(6)31 2*(105–1)/3 – 5*(104+1)
1(9)31 (105–1) – 8*(104+1)
7(2)37 2*(105–1)/9 + 5*(104+1)
7(5)37 5*(105–1)/9 + 2*(104+1)
7(6)37 2*(105–1)/3 + (104+1)
7(8)37 8*(105–1)/9 – (104+1)
7(9)37 (105–1) – 2*(104+1)
Length 7 Total = 8
1(3)51 (107–1)/3 – 2*(106+1)
1(4)51 4*(107–1)/9 – 3*(106+1)
1(7)51 7*(107–1)/9 – 6*(106+1)
3(2)53 2*(107–1)/9 + (106+1)
3(4)53 4*(107–1)/9 – (106+1)
7(6)57 2*(107–1)/3 + (106+1)
9(2)59 2*(107–1)/9 + 7*(106+1)
9(8)59 8*(107–1)/9 + (106+1)
Length 9 Total = 5
1(8)71 8*(109–1)/9 – 7*(108+1)
1(9)71 (109–1) – 8*(108+1)
3(2)73 2*(109–1)/9 + (108+1)
3(5)73 5*(109–1)/9 – 2*(108+1)
7(2)77 2*(109–1)/9 + 5*(108+1)
Length 11 Total = 2
7(4)97 4*(1011–1)/9 + 3*(1010+1)
7(5)97 5*(1011–1)/9 + 2*(1010+1)
Length 13 Total = 5
1(6)111 2*(1013–1)/3 – 5*(1012+1)
3(1)113 (1013–1)/9 + 2*(1012+1)
3(4)113 4*(1013–1)/9 – (1012+1)
3(8)113 8*(1013–1)/9 – 5*(1012+1)
9(2)119 2*(1013–1)/9 + 7*(1012+1)
Length 15 Total = 3
1(8)131 8*(1015–1)/9 – 7*(1014+1)
3(1)133 (1015–1)/9 + 2*(1014+1)
3(7)133 7*(1015–1)/9 – 4*(1014+1)
Length 17 Total = 1
1(6)151 2*(1017–1)/3 – 5*(1016+1)
Length 19 Total = 1
1(6)171 2*(1019–1)/3 – 5*(1018+1)
Length 21 Total = 2
1(5)191 5*(1021–1)/9 – 4*(1020+1)
7(5)197 5*(1021–1)/9 + 2*(1020+1)
Length 23 Total = 1
7(5)217 5*(1023–1)/9 + 2*(1022+1)
Length 29 Total = 2
7(2)277 2*(1029–1)/9 + 5*(1028+1)
7(9)277 (1029–1) – 2*(1028+1)
Length 31 Total = 3
3(1)293 (1031–1)/9 + 2*(1030+1)
3(8)293 8*(1031–1)/9 – 5*(1030+1)
7(4)297 4*(1031–1)/9 + 3*(1030+1)
Length 33 Total = 1
1(5)311 5*(1033–1)/9 – 4*(1032+1)
Length 37 Total = 1
1(6)351 2*(1037–1)/3 – 5*(1036+1)
Length 41 Total = 2
1(8)391 8*(1041–1)/9 – 7*(1040+1)
1(9)391 (1041–1) – 8*(1040+1)
Length 49 Total = 1
1(7)471 7*(1049–1)/9 – 6*(1048+1)
Length 53 Total = 1
1(6)511 2*(1053–1)/3 – 5*(1052+1)
Length 55 Total = 2
3(7)533 7*(1055–1)/9 – 4*(1054+1)
7(6)537 2*(1055–1)/3 + (1054+1)
Length 59 Total = 1
7(5)577 5*(1059–1)/9 + 2*(1058+1)
Length 61 Total = 1
3(8)593 8*(1061–1)/9 – 5*(1060+1)
Length 65 Total = 1
7(2)637 2*(1065–1)/9 + 5*(1064+1)
Length 67 Total = 1
1(4)651 4*(1067–1)/9 – 3*(1066+1)
Length 69 Total = 1
3(7)673 7*(1069–1)/9 – 4*(1068+1)
Length 73 Total = 2
1(6)711 2*(1073–1)/3 – 5*(1072+1)
9(8)719 8*(1073–1)/9 + (1072+1)
Length 75 Total = 1
7(5)737 5*(1075–1)/9 + 2*(1074+1)
Length 83 Total = 1
7(5)817 5*(1083–1)/9 + 2*(1082+1)
Length 85 Total = 1
3(7)833 7*(1085–1)/9 – 4*(1084+1)
Length 87 Total = 3
1(9)851 (1087–1) – 8*(1086+1)
3(7)853 7*(1087–1)/9 – 4*(1086+1)
7(8)857 8*(1087–1)/9 – (1086+1)
Length 93 Total = 1
1(8)911 8*(1093–1)/9 – 7*(1092+1)
Length 95 Total = 1
1(3)931 (1095–1)/3 – 2*(1094+1)
Length 97 Total = 2
7(6)957 2*(1097–1)/3 + (1096+1)
9(8)959 8*(1097–1)/9 + (1096+1)
Length 101 Total = 1
1(6)991 2*(10101–1)/3 – 5*(10100+1)
Length 103 Total = 1
1(7)1011 7*(10103–1)/9 – 6*(10102+1)
Length 105 Total = 1
3(1)1033 (10105–1)/9 + 2*(10104+1)
Length 111 Total = 1
9(2)1099 2*(10111–1)/9 + 7*(10110+1)
Length 113 Total = 1
7(8)1117 8*(10113–1)/9 – (10112+1)
Length 115 Total = 1
9(8)1139 8*(10115–1)/9 + (10114+1)
Length 117 Total = 1
3(8)1153 8*(10117–1)/9 – 5*(10116+1)
Length 121 Total = 1
7(4)1197 4*(10121–1)/9 + 3*(10120+1)
Length 127 Total = 1
3(1)1253 (10127–1)/9 + 2*(10126+1)
Length 129 Total = 1
1(8)1271 8*(10129–1)/9 – 7*(10128+1)
Length 141 Total = 1
3(5)1393 5*(10141–1)/9 – 2*(10140+1)
Length 157 Total = 2 [ Largest duo ]
3(7)1553 7*(10157–1)/9 – 4*(10156+1)
7(9)1557 (10157–1) – 2*(10156+1)
Length 161 Total = 1
1(3)1591 (10161–1)/3 – 2*(10160+1)
Length 171 Total = 1
7(8)1697 8*(10171–1)/9 – (10170+1)
Length 193 Total = 1
1(7)1911 7*(10193–1)/9 – 6*(10192+1)
Length 201 Total = 1
1(9)1991 (10201–1) – 8*(10200+1)
Length 205 Total = 1
9(8)2039 8*(10205–1)/9 + (10204+1)
Length 209 Total = 1
7(5)2077 5*(10209–1)/9 + 2*(10208+1)
Length 231 Total = 1
3(5)2293 5*(10231–1)/9 – 2*(10230+1)
Length 247 Total = 1
9(1)2459 (10247–1)/9 + 8*(10246+1)
Length 291 Total = 1
3(8)2893 8*(10291–1)/9 – 5*(10290+1)
Length 323 Total = 1
7(9)3217 (10323–1) – 2*(10322+1)
Length 343 Total = 1
3(1)3413 (10343–1)/9 + 2*(10342+1)
Length 351 Total = 1
7(5)3497 5*(10351–1)/9 + 2*(10350+1)
Length 353 Total = 1
7(9)3517 (10353–1) – 2*(10352+1)
Length 361 Total = 1
1(3)3591 (10361–1)/3 – 2*(10360+1)
Length 367 Total = 1
1(7)3651 7*(10367–1)/9 – 6*(10366+1)
Length 401 Total = 1
1(5)3991 5*(10401–1)/9 – 4*(10400+1)
Length 423 Total = 1
7(5)4217 5*(10423–1)/9 + 2*(10422+1)
Length 427 Total = 1
3(5)4253 5*(10427–1)/9 – 2*(10426+1)
Length 455 Total = 1
7(6)4537 2*(10455–1)/3 + (10454+1)
Length 463 Total = 1
3(5)4613 5*(10463–1)/9 – 2*(10462+1)
Length 485 Total = 1
7(4)4837 4*(10485–1)/9 + 3*(10484+1)
Length 493 Total = 1
3(4)4913 4*(10493–1)/9 – (10492+1)
Length 563 Total = 1
1(5)5611 5*(10563–1)/9 – 4*(10562+1)
Length 567 Total = 1
7(8)5657 8*(10567–1)/9 – (10566+1)
Length 575 Total = 1
7(6)5737 2*(10575–1)/3 + (10574+1)
Length 601 Total = 1
3(1)5993 (10601–1)/9 + 2*(10600+1)
Length 633 Total = 1
3(8)6313 8*(10633–1)/9 – 5*(10632+1)
Length 725 Total = 1
7(2)7237 2*(10725–1)/9 + 5*(10724+1)
Length 727 Total = 1
3(5)7253 5*(10727–1)/9 – 2*(10726+1)
Length 731 Total = 1
1(9)7291 (10731–1) – 8*(10730+1)
Length 885 Total = 1
1(8)8831 8*(10885–1)/9 – 7*(10884+1)
Length 895 Total = 1
3(2)8933 2*(10895–1)/9 + (10894+1)
Length 985 Total = 1
9(8)9839 8*(10985–1)/9 + (10984+1)
Length 1003 Total = 1
1(7)10011 7*(101003–1)/9 – 6*(101002+1)
Length 1065 Total = 1
3(8)10633 8*(101065–1)/9 – 5*(101064+1)
Length 1141 Total = 1
9(1)11399 (101141–1)/9 + 8*(101140+1)
Length 1213 Total = 1
7(9)12117 (101213–1) – 2*(101212+1)
Length 1227 Total = 1
9(8)12259 8*(101227–1)/9 + (101226+1)
Length 1255 Total = 1
1(4)12531 4*(101255–1)/9 – 3*(101254+1)
Length 1285 Total = 1
7(9)12837 (101285–1) – 2*(101284+1)
Length 1461 Total = 1
1(9)14591 (101461–1) – 8*(101460+1)
Length 1471 Total = 1
1(3)14691 (101471–1)/3 – 2*(101470+1)
Length 1487 Total = 1
7(4)14857 4*(101487–1)/9 + 3*(101486+1)
Length 1495 Total = 1
3(8)14933 8*(101495–1)/9 – 5*(101494+1)
Length 1525 Total = 1
3(2)15233 2*(101525–1)/9 + (101524+1)
Length 1579 Total = 1
7(4)15777 4*(101579–1)/9 + 3*(101578+1)
Length 1689 Total = 1
7(8)16877 8*(101689–1)/9 – (101688+1)
Length 1787 Total = 1
7(2)17857 2*(101787–1)/9 + 5*(101786+1)
Length 1975 Total = 1
3(5)19733 5*(101975–1)/9 – 2*(101974+1)
Length 2767 Total = 1
3(7)27653 7*(102767–1)/9 – 4*(102766+1)
Length 2899 Total = 1
1(3)28971 (102899–1)/3 – 2*(102898+1)
Length 3037 Total = 1
3(2)30353 2*(103037–1)/9 + (103036+1)
Length 3095 Total = 1
1(3)30931 (103095–1)/3 – 2*(103094+1)
Length 3113 Total = 1
1(3)31111 (103113–1)/3 – 2*(103112+1)
Length 3381 Total = 1
3(7)33793 7*(103381–1)/9 – 4*(103380+1)
Length 3385 Total = 1
7(6)33837 2*(103385–1)/3 + (103384+1)
Length 3609 Total = 1
9(2)36079 2*(103609–1)/9 + 7*(103608+1)
Length 3813 Total = 1
7(5)38117 5*(103813–1)/9 + 2*(103812+1)
Length 3877 Total = 1
3(7)38753 7*(103877–1)/9 – 4*(103876+1)
Length 3983 Total = 1
7(5)39817 5*(103983–1)/9 + 2*(103982+1)
Length 4795 Total = 1
9(8)47939 8*(104795–1)/9 + (104794+1)
Length 5209 Total = 1
3(7)52073 7*(105209–1)/9 – 4*(105208+1)
Length 5433 Total = 1
3(8)54313 8*(105433–1)/9 – 5*(105432+1)
Length 5569 Total = 1
3(4)55673 4*(105569–1)/9 – (105568+1)
Length 6233 Total = 1
1(6)62311 2*(106233–1)/3 – 5*(106232+1)
Length 7017 Total = 1
1(5)70151 5*(107017–1)/9 – 4*(107016+1)
Length 7231 Total = 1
3(5)72293 5*(107231–1)/9 – 2*(107230+1)
Length 7277 Total = 1
7(2)72757 2*(107277–1)/9 + 5*(107276+1)
Length 7363 Total = 1
3(8)73613 8*(107363–1)/9 – 5*(107362+1)

From here on not all PDP's are prime proven!
Length 7985 Total = 1
7(9)79837 (107985–1) – 2*(107984+1)
Length 8407 Total = 1
1(4)84051 4*(108407–1)/9 – 3*(108406+1)
Length 8903 Total = 1
7(8)89017 8*(108903–1)/9 – (108902+1)
Length 9425 Total = 1
1(8)94231 8*(109425–1)/9 – 7*(109424+1)
Length 9825 Total = 1
3(1)98233 (109825–1)/9 + 2*(109824+1)
Length 10395 Total = 1
9(1)103939 (1010395–1)/9 + 8*(1010394+1)
Length 10747 Total = 1
3(7)107453 7*(1010747–1)/9 – 4*(1010746+1)
Length 10907 Total = 1
7(1)109057 (1010907–1)/9 + 6*(1010906+1)
Length 11441 Total = 1
7(6)114397 2*(1011441–1)/3 + (1011440+1)
Length 12625 Total = 1
7(6)126237 2*(1012625–1)/3 + (1012624+1)
Length 13673 Total = 1
7(4)136717 4*(1013673–1)/9 + 3*(1013672+1)
Length 13811 Total = 1
7(4)138097 4*(1013811–1)/9 + 3*(1013810+1)
Length 14769 Total = 1
1(8)147671 8*(1014769–1)/9 – 7*(1014768+1)
Length 15095 Total = 1
7(4)150937 4*(1015095–1)/9 + 3*(1015094+1)
Length 15193 Total = 1
7(9)151917 (1015193–1) – 2*(1015192+1)
Length 15699 Total = 1
1(3)156971 (1015699–1)/3 – 2*(1015698+1)
Length 15769 Total = 1
3(7)157673 7*(1015769–1)/9 – 4*(1015768+1)
Length 17957 Total = 1
1(3)179551 (1017957–1)/3 – 2*(1017956+1)
Length 19259 Total = 1
1(8)192571 8*(1019259–1)/9 – 7*(1019258+1)
Length 19447 Total = 1
7(6)194457 2*(1019447–1)/3 + (1019446+1)
Length 19463 Total = 1
7(2)194617 2*(1019463–1)/9 + 5*(1019462+1)
Length 20365 Total = 1
1(7)203631 7*(1020365–1)/9 – 6*(1020364+1)
Length 20721 Total = 1
9(8)207199 8*(1020721–1)/9 + (1020720+1)
Length 20925 Total = 1
7(5)209237 5*(1020925–1)/9 + 2*(1020924+1)
Length 21157 Total = 1
3(2)211553 2*(1021157–1)/9 + (1021156+1)
Length 23673 Total = 1
1(9)236711 (1023673–1) + 8*(1023672+1)
Length 23787 Total = 1
7(5)237857 5*(1023787–1)/9 + 2*(1023786+1)
Length 24029 Total = 1
1(6)240271 2*(1024029–1)/3 – 5*(1024028+1)
Length 24215 Total = 1
7(2)242137 2*(1024215–1)/9 + 5*(1024214+1)
Length 24757 Total = 1
3(4)247553 4*(1024757–1)/9 – (1024756+1)
Length 28631 Total = 1
1(9)286291 (1028631–1) + 8*(1028630+1)
Length 31235 Total = 1
1(8)312331 8*(1031235–1)/9 – 7*(1031234+1)
Length 31317 Total = 1
3(7)313153 7*(1031317–1)/9 – 4*(1031316+1)
Length 35461 Total = 1
7(6)354597 2*(1035461–1)/3 + (1035460+1)
Length 37447 Total = 1
1(7)374451 7*(1037447–1)/9 – 6*(1037446+1)
Length 37685 Total = 1
1(5)376831 5*(1037685–1)/9 – 4*(1037684+1)
Length 37785 Total = 1
9(2)377839 2*(1037785–1)/9 + 7*(1037784+1)
Length 38853 Total = 1
7(5)388517 5*(1038853–1)/9 + 2*(1038852+1)
Length 40223 Total = 1
1(6)402211 2*(1040223–1)/3 – 5*(1040222+1)
Length 40959 Total = 1
3(7)409573 7*(1040959–1)/9 – 4*(1040958+1)
Length 42263 Total = 1
1(3)422611 (1042263–1)/3 – 2*(1042262+1)
Length 43881 Total = 1
9(1)438799 (1043881–1)/9 + 8*(1043880+1)
Length 45805 Total = 1
3(7)458033 7*(1045805–1)/9 – 4*(1045804+1)
Length 45861 Total = 1
3(5)458593 5*(1045861–1)/9 – 2*(1045860+1)
Length 46567 Total = 1
3(7)465653 7*(1046567–1)/9 – 4*(1046566+1)
Length 47305 Total = 1
3(5)473033 5*(1047305–1)/9 – 2*(1047304+1)
Length 51009 Total = 1
3(7)510073 7*(1051009–1)/9 – 4*(1051008+1)
Length 51779 Total = 1
7(2)517777 2*(1051779–1)/9 + 5*(1051778+1)
Length 56043 Total = 1
7(5)560417 5*(1056043–1)/9 + 2*(1056042+1)
Length 56083 Total = 1
1(7)560811 7*(1056083–1)/9 – 6*(1056082+1)
Length 66395 Total = 1
1(6)663931 2*(1066395–1)/3 – 5*(1066394+1)
Length 67039 Total = 1
1(4)670371 4*(1067039–1)/9 – 3*(1067038+1)
Length 68505 Total = 1
7(5)685037 5*(1068505–1)/9 + 2*(1068504+1)
Length 72773 Total = 1
7(4)727717 4*(1072773–1)/9 + 3*(1072772+1)
Length 74435 Total = 1
7(5)744337 5*(1074435–1)/9 + 2*(1074434+1)
Length 80163 Total = 1
3(7)801613 7*(1080163–1)/9 – 4*(1080162+1)
Length 81215 Total = 1
7(6)812137 2*(1081215–1)/3 + (1081214+1)
Length 84773 Total = 1
7(9)847717 (1084773–1) – 2*(1084772+1)
Length 94213 Total = 1
7(4)942117 4*(1094213–1)/9 + 3*(1094212+1)
Length 95327 Total = 1
7(6)953257 2*(1095327–1)/3 + (1095326+1)
Length 111033 Total = 1
1(3)1110311 (10111033–1)/3 – 2*(10111032+1)
Length 115811 Total = 1
7(8)1158097 8*(10115811–1)/9 – (10115810+1)
Length 119931 Total = 1
7(9)1199297 (10119931–1) – 2*(10119930+1)
Length 131393 Total = 1
7(2)1313917 2*(10131393–1)/9 + 5*(10131390+1)
Length 133581 Total = 1
9(8)1335799 8*(10133581–1)/9 + (10133580+1)
Length 148861 Total = 1
7(9)1488597 (10148861–1) – 2*(10148860+1)
Length 165717 Total = 1
7(8)1657157 8*(10165717–1)/9 – (10165716+1)
Length 181545 Total = 1
9(2)1815439 2*(10181545–1)/9 + 7*(10181544+1)
Length 205511 Total = 1
7(5)2055097 5*(10205511–1)/9 + 2*(10205510+1)
Length 207557 Total = 1
7(4)2075557 4*(10207557–1)/9 + 3*(10207556+1)
Length 211263 Total = 1
1(5)2112611 5*(10211263–1)/9 – 4*(10211262+1)
Length 219741 Total = 1
7(9)2197397 (10219741–1) – 2*(10219740+1)
Length 222719 Total = 1
1(5)2227171 5*(10222719–1)/9 – 4*(10222718+1)
Length 249551 Total = 1
1(3)2495491 (10249551–1)/3 – 2*(10249550+1)
Length 250337 Total = 1
1(5)2503351 5*(10250337–1)/9 – 4*(10250336+1)
Length 283827 Total = 1
3(5)2838253 5*(10283827–1)/9 – 2*(10283826+1)
Length 411591 Total = 1
9(8)4115899 8*(10411591–1)/9 + (10411590+1)
Length 499211 Total = 1
7(1)4992097 (10499211–1)/9 + 6*(10499210+1)
Length 1116677 Total = 1
7(4)11166757 4*(101116677–1)/9 + 3*(101116676+1)

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