PRP Records

Probable Primes Top 10000

(221609 PRPs in the top)


What is a PRP ?

A PRP is a probable prime number, a number that nobody knows how to prove or disprove its primality.
Here are some criterions that can be used to recognize these numbers :

- N does not have any prime factor up to 2^32.
- N cannot be trivially written into a product.
- Take 3 square-free consecutive bases such that (b1/N)=(b2/N)=(b3/N)= -1. N should be such that b1^((N-1)/2)=b2^((N-1)/2)=b3^((N-1)/2)= -1 (mod N).
- Take a prime base such that (b/N)= -1 and b<>b1<>b2<>b3. N should pass the strong test in base b.
- or more (if someone has got an idea) !!!


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1-250   251-500   501-750   751-1000   1001-1250   1251-1500   1501-1750   1751-2000   
2001-2250   2251-2500   2501-2750   2751-3000   3001-3250   3251-3500   3501-3750   3751-4000   
4001-4250   4251-4500   4501-4750   4751-5000   5001-5250   5251-5500   5501-5750   5751-6000   
6001-6250   6251-6500   6501-6750   6751-7000   7001-7250   7251-7500   7501-7750   7751-8000   
8001-8250   8251-8500   8501-8750   8751-9000   9001-9250   9251-9500   9501-9750   9751-10000   


Rank Probable prime Digits (> 30000) Who ? When ?
1001Gamma-Prime(179849)179849Eric W. Weisstein06/2011
10022^597424-1859729179843Enzo Doria11/2015
1003Phi(180683,10)179760Maksym Voznyy09/2015
1004(10^180683-1)*9/(10^643-1)/(10^281-1)179760Robert Price07/2016
1005(3^376657-2^376657)/22301107657179701Mike Oakes04/2017
1006(29*10^179697+223)/9179698Robert Price09/2018
10072^596690-461261179622Enzo Doria07/2015
10082^596684-113939179620Enzo Doria10/2014
10092*10^179602+63179603Robert Price05/2018
10103^375887-112696179344Enzo Doria07/2014
10112^595144-1850429179157Enzo Doria08/2015
10122^594531+82253178972Enzo Doria09/2016
10132^594260-2787899178891Enzo Doria11/2015
10142^593631+101381178701Jorge Menendez04/2018
101510^178695+136719178696Patrick De Geest05/2016
101610^178695-71178695Serge Batalov12/2014
1017(2^148330+1)^4-2178608Cletus Emmanuel12/2003
10182^593222-14145178578Jorge Menendez10/2017
10192^593178+1867219178565Enzo Doria03/2016
1020(18^142031-1)/17178287Paul Bourdelais03/2010
1021(5*10^178206+91)/3178207Robert Price04/2018
10222^591872-291929178172Enzo Doria07/2015
10232^591682-286871178115Enzo Doria07/2015
10244*10^178091+9178092Robert Price05/2015
1025410747#+478483178007Makoto Morimoto02/2016
10263*10^177872+73177873Robert Price08/2018
10272^590762-396765177838Enzo Doria08/2013
1028(136*10^177754-1)/9177756Serge Batalov12/2014
1029ReverseConsecutiveIntegerPrime(37765)177719Eric W. Weisstein04/2010
10303*10^177373-97177374Robert Price07/2018
10312^589204+1881151177369Enzo Doria11/2016
10322^589132-69479177347Enzo Doria01/2016
10332^588912-113519177281Enzo Doria08/2014
103415^150706+2177245Robert Price06/2015
10352^588194-1861001177065Enzo Doria11/2015
1036(19*10^176932+521)/9176933Robert Price05/2018
1037(8*10^176908+43)/3176909Robert Price06/2018
10382^587560-113699176874Enzo Doria09/2014
10395^252763-12862176674Enzo Doria05/2014
10402^586804+81721176646Enzo Doria08/2016
1041(10^176584+77)/3176584Robert Price01/2018
10422^586570+1874419176576Enzo Doria06/2016
10432^585994-3311176402Yves Minet12/2014
10442^585832-112799176354Enzo Doria07/2014
10452^585336-461039176204Enzo Doria06/2015
10462^585095-1848127176132Enzo Doria08/2015
10472^584950-115451176088Enzo Doria07/2015
10482^584671-3697176004Yves Minet03/2017
10492*10^175860-87175861Robert Price04/2018
105010^175608+2971175609Mike Oakes05/2010
105110^175608-55829175608Patrick De Geest09/2013
10522^583051+1879793175516Enzo Doria09/2016
10532^582860-23829175459Enzo Doria08/2013
10542^582670-23913175402Enzo Doria08/2013
10552^582573-29563175372Enzo Doria08/2015
10562^582435-1862767175331Enzo Doria12/2015
1057(11*10^175250-149)/3175251Robert Price09/2018
10582^582072-1848599175222Enzo Doria08/2015
1059(220221^32768+1)/2175075Serge Batalov03/2018
10602^581560+1874911175068Enzo Doria06/2016
1061(75^93307-1)/74174955Paul Bourdelais09/2017
10622^580528-114035174757Enzo Doria11/2014
1063(19*10^174754+737)/9174755Robert Price07/2018
1064(35*10^174704-377)/9174705Robert Price07/2018
10653*10^174665-97174666Robert Price07/2018
10662^580046-459161174612Enzo Doria05/2015
10672^579992-39779174595Enzo Doria09/2015
1068(2*10^174301-71)/3174301Robert Price12/2017
1069(2^578696+1)/257174203Lelio R Paula09/2015
10702^578656-1851809174193Enzo Doria08/2015
10712^578583-113917174171Enzo Doria10/2014
10722^578434-83174126Yves Minet07/2017
107315^148048-2174118Robert Price06/2015
10742^578346+2794249174100Enzo Doria03/2016
10752*10^173809-87173810Robert Price04/2018
1076(L!41532)/2173772Serge Batalov07/2017
10772^577146-49877173739Enzo Doria10/2015
10782^576889+49727173661Enzo Doria09/2016
1079(2^576551-1)/4612409/64758208321/242584327930759173528Dario Alpern06/2014
10802^576016-113919173399Enzo Doria11/2014
10812^575911-1849387173367Enzo Doria08/2015
10822^575196-114053173152Enzo Doria11/2014
10832^574591-115387172970Enzo Doria07/2015
10842^574328+81121172890Enzo Doria07/2016
1085(115*10^172862-1)/3172864Serge Batalov12/2014
10863*10^172812+13172813Robert Price07/2018
10874*5^247217-9172798Lelio R Paula10/2015
108869061#+(467617#)/(69061#)172766Makoto Morimoto10/2017
10892^573668-2782319172692Enzo Doria09/2015
10902^573444-1855109172624Enzo Doria09/2015
10913^361608+2172531Robert Price08/2014
1092(54^99563+1)/55172481Paul Bourdelais11/2017
10932^572592-114893172368Enzo Doria05/2015
10945^246497-4^246497172295Jean-Louis Charton11/2008
1095(38^109037-1)/37172254Paul Bourdelais10/2017
10963*10^172219+73172220Robert Price08/2018
1097(36^110503+1)/37171975Lelio R Paula04/2017
10982^570980-2782289171883Enzo Doria09/2015
1099(2^(12*47563+13)-9)/7171818Kevin Acres11/2013
11002^569563-1854607171456Enzo Doria09/2015
11013*10^171391+59171392Robert Price08/2018
1102(55^98419-1)/54171284Paul Bourdelais12/2017
11032^568642+1876129171179Enzo Doria07/2016
1104(58*10^170842+221)/9170843Robert Price02/2017
11053*10^170800+73170801Robert Price08/2018
110611^164009-270170798Enzo Doria10/2012
11072*10^170767+41170768Robert Price05/2018
11083^357706-112358170670Enzo Doria07/2014
1109TheodorusPrime(170657)170657Eric W. Weisstein08/2013
11102^566871+1876163170646Enzo Doria07/2016
1111(10657#+(404267#)/(10657#))/(1675379)170624Makoto Morimoto10/2017
11122^566496+7170533Donovan Johnson07/2006
1113(7^201653+1)/8170416Paul Bourdelais02/2010
11142^565183-352021170138Enzo Doria07/2015
11152^565143-114457170125Enzo Doria02/2015
11162^564976-49869170075Enzo Doria10/2015
11172^564526-351401169940Enzo Doria07/2015
111821^128327-20^128327169677Jean-Louis Charton11/2014
1119(4*10^169559+83)/3169560Robert Price02/2018
11202^562749+2793047169405Enzo Doria02/2016
1121(154*10^169337-1)/9169339Serge Batalov12/2014
11222^562369-29503169290Enzo Doria08/2015
1123(22*10^169019+383)/9169020Robert Price05/2018
11242^560405-39943168699Enzo Doria09/2015
11252^559686-350471168483Enzo Doria06/2015
11262^559672-1855889168479Enzo Doria09/2015
1127(5*10^168379-473)/9168379Robert Price01/2018
11282^559000-59939168276Enzo Doria11/2015
11292^558640-114149168168Enzo Doria12/2014
11302^558498-1849277168125Enzo Doria08/2015
11312^558476-1850249168119Enzo Doria08/2015
1132(7*10^168067+71)/3168068Robert Price05/2018
11332^558150-1852211168020Enzo Doria08/2015
11342^558125-113661168013Enzo Doria09/2014
1135393^64747-392^64747167980Jean-Louis Charton08/2012
113639^105456+2167788Robert Price04/2015
1137(28^115877-1)/27167691Paul Bourdelais12/2017
113810^167639+121911167640Patrick De Geest07/2018
113910^167639-8001167639Robert Price03/2018
11402^556504-462059167525Enzo Doria07/2015
11415*10^167510+9167511Robert Price08/2015
11422^555343+1874333167175Enzo Doria06/2016
11432^555210-461261167135Enzo Doria07/2015
11442^554372+1880527166883Enzo Doria11/2016
11452^554299+72173166861Enzo Doria04/2016
11462^554037-2797063166782Enzo Doria03/2016
11472^553484-29819166616Enzo Doria08/2015
11482^553383-2784217166585Enzo Doria10/2015
11492^553069+76427166491Enzo Doria05/2016
11502*10^166458+51166459Robert Price05/2018
1151589^60089-588^60089166454Jean-Louis Charton09/2012
115211^159756-2424166369Mike Oakes06/2010
11532^552649-361275166364Enzo Doria05/2014
11542^552628-113669166358Enzo Doria09/2014
115510^166324+550603166325Patrick De Geest07/2018
115610^166324-801166324Robert Price02/2018
11572^552137+1879397166210Enzo Doria09/2016
1158(23^121949-1)/22166061Paul Bourdelais10/2017
11592^551542+19249166031Payam Samidoost08/2002
11602^551535-23821166029Enzo Doria08/2013
11612^551507-23557166021Enzo Doria08/2013
11627*10^165916-3165917Robert Price08/2015
116381^86837-80^86837165728Robert Price01/2015
11642^550270-69551165648Enzo Doria12/2015
11652^550000-23625165567Enzo Doria08/2013
11662^549675-1852057165469Enzo Doria08/2015
1167-tau(103^14938)165374Nik Lygeros / Olivier Rozier10/2013
1168(28*10^165358-1)/9165359Serge Batalov10/2014
11702^549278+1879669165350Enzo Doria09/2016
1169(7*10^165350-439)/9165350Robert Price02/2018
11712^549252-351269165342Enzo Doria06/2015
11722^549049+2797607165281Enzo Doria04/2016
1173(7*10^165239+107)/3165240Robert Price02/2018
1174(44^100511-1)/43165184Paul Bourdelais11/2017
1175(7*10^165134+107)/3165135Robert Price02/2018
11762^547178-1856501164717Enzo Doria10/2015
117711^158160-60164707Enzo Doria07/2012
11782^546398-59201164483Enzo Doria10/2015
11792^546332-114893164463Enzo Doria05/2015
11802^545958+1876189164350Enzo Doria07/2016
11812^545878-49841164326Enzo Doria10/2015
1182(10^164284+77)/3164284Robert Price01/2018
11832^545668-4019164263Yves Minet04/2017
1184(13*53^238539*617^9)/10^247183164151Hans Havermann07/2017
11852^545185+76757164118Enzo Doria05/2016
11862^545076-114329164085Enzo Doria01/2015
1187(2*10^164043-143)/3164043Robert Price03/2018
1188(29^112153+1)/30164011Lelio R Paula03/2017
11892^544757+1874777163989Enzo Doria06/2016
11902^544444-457199163894Enzo Doria01/2015
11912^544264-343529163840Enzo Doria07/2015
11927*10^163780+9163781Robert Price09/2015
11932^543989+2793047163758Enzo Doria02/2016
11942^542870-69551163421Enzo Doria12/2015
11952^542395+72533163278Enzo Doria04/2016
11962^542072-3683163180Yves Minet03/2017
11972^541779-1867357163092Enzo Doria04/2016
11988*10^162924+9162925Robert Price12/2015
11992^540905+81557162829Enzo Doria08/2016
12002^540628-2939162746Yves Minet09/2014
1201919^54919-918^54919162743Jean-Louis Charton01/2013
12023*10^162620-59162621Robert Price09/2018
12033^340694-112960162553Enzo Doria07/2014
12042^539807-114081162499Enzo Doria12/2014
12052^539654-114893162453Enzo Doria05/2015
12062^539617-1851583162441Enzo Doria08/2015
12072^539346+81049162360Enzo Doria07/2016
12082^539220-115499162322Enzo Doria07/2015
12092^539217-113713162321Enzo Doria09/2014
12109^170099-8^170099162316Jean-Louis Charton05/2005
1211(115*10^162153-1)/3162155Serge Batalov12/2014
1212(10^162138+11)/3162138Serge Batalov07/2015
12132^538473-112723162097Enzo Doria06/2014
12142^538157+79337162002Enzo Doria06/2016
12152^538136-114749161996Enzo Doria05/2015
12162^538104+1531161986Lelio R Paula01/2013
1217(9*29^110727-1199)/14161927Curtis Bright05/2015
12182^537815-22737161899Enzo Doria07/2013
12192^537804-39839161896Enzo Doria09/2015
12202^537458-59201161791Enzo Doria10/2015
12212*10^161766+51161767Robert Price05/2018
12222^537209-49849161717Enzo Doria10/2015
12232^536937+1879397161635Enzo Doria09/2016
12242^536569-22881161524Enzo Doria07/2013
122510^161253+573493161254Patrick De Geest07/2018
122610^161253-8001161253Robert Price03/2018
12277*10^161192-9161193Robert Price10/2015
12282^535269-113803161133Enzo Doria09/2014
12292^535205-23295161113Enzo Doria08/2013
1230(89^82609+1)/90161036Paul Bourdelais10/2017
12312^534359-23229160859Enzo Doria08/2013
123267^88037-66^88037160763Robert Price10/2013
12332^533948-1852559160735Enzo Doria08/2015
12342^533665-23335160650Enzo Doria08/2013
12353^336353-2^336353160482Mike Oakes10/2007
12362^532253+1868417160225Enzo Doria04/2016
12372^532108-291989160181Enzo Doria07/2015
12382^531110-1853771159881Enzo Doria09/2015
12392^530992-1845299159845Enzo Doria07/2015
1240(136*10^159736-1)/9159738Serge Batalov12/2014
12412^530417-113833159672Enzo Doria09/2014
12422^530406-69701159669Enzo Doria02/2016
12437^188858-188858^7159604Norbert Schneider05/2018
1244(24^115597-1)/23159547Paul Bourdelais09/2017
1245(17*10^159438-377)/9159439Robert Price03/2018
12462^528944-461315159229Enzo Doria07/2015
12472^528620-113879159131Enzo Doria10/2014
12482^528000-23307158944Enzo Doria08/2013
1249(29*10^158909+61)/9158910Robert Price08/2018
12502^527817+1876817158889Enzo Doria07/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: September, 16 2018 00:40 (Time in France)

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