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Plateau and Depression Primes Sorted By Length
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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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( © All rights reserved ) - Last modified : January 22, 2023.

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Patrick De Geest - Belgium - Short Bio - Some Pictures
E-mail address : pdg@worldofnumbers.com

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