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Plateau and Depression Primes
Sorted By Length
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Plateau and Depression Primes - Sorted By Length
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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)

From here on not all PDP's are prime proven!
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)
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)

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(All rights reserved) - Last modified : June 28, 2005.
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E-mail address : pdg@worldofnumbers.com