PRP Records

Probable Primes Top 10000

(259919 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 (> 50000) Who ? When ?
12512^579992-39779174595Enzo Doria09/2015
1252(2*10^174301-71)/3174301Robert Price12/2017
1253(2^578696+1)/257174203Lelio R Paula09/2015
12542^578656-1851809174193Enzo Doria08/2015
12552^578583-113917174171Enzo Doria10/2014
12562^578434-83174126Yves Minet07/2017
125715^148048-2174118Robert Price06/2015
12585*10^174101+81174102Robert Price03/2019
12592^578346+2794249174100Enzo Doria03/2016
12605*10^173904-13173905Robert Price01/2019
1261(71*10^173854-287)/9173855Robert Price09/2019
1262(43*10^173826+101)/9173827Robert Price11/2018
12632*10^173809-87173810Robert Price04/2018
1264(L!41532)/2173772Serge Batalov07/2017
12652^577146-49877173739Enzo Doria10/2015
12662^576889+49727173661Enzo Doria09/2016
1267(167*10^173571-17)/3173573Robert Price03/2020
1268(2^576551-1)/4612409/64758208321/242584327930759173528Dario Alpern06/2014
1269(13*10^173467-37)/3173468Robert Price01/2019
12702^576016-113919173399Enzo Doria11/2014
12712^575911-1849387173367Enzo Doria08/2015
1272(16*10^173251+107)/3173252Robert Price03/2019
12732^575196-114053173152Enzo Doria11/2014
12742^574591-115387172970Enzo Doria07/2015
1275(202*10^172940-13)/9172942Robert Price01/2020
12762^574328+81121172890Enzo Doria07/2016
1277(115*10^172862-1)/3172864Serge Batalov12/2014
12783*10^172812+13172813Robert Price07/2018
12794*5^247217-9172798Lelio R Paula10/2015
128069061#+(467617#)/(69061#)172766Makoto Morimoto10/2017
12815*10^172692+57172693Robert Price12/2018
12822^573668-2782319172692Enzo Doria09/2015
12832^573444-1855109172624Enzo Doria09/2015
12843^361608+2172531Robert Price08/2014
1285(54^99563+1)/55172481Paul Bourdelais11/2017
12862^572592-114893172368Enzo Doria05/2015
12875^246497-4^246497172295Jean-Louis Charton11/2008
1288(38^109037-1)/37172254Paul Bourdelais10/2017
12893*10^172219+73172220Robert Price08/2018
1290(36^110503+1)/37171975Lelio R Paula04/2017
1291(22*10^171929-73)/3171930Robert Price04/2019
12924*10^171891-63171892Robert Price10/2018
12932^570980-2782289171883Enzo Doria09/2015
1294(25*10^171849-37)/3171850Robert Price10/2019
1295(2^(12*47563+13)-9)/7171818Kevin Acres11/2013
1296(536*10^171601-23)/9171603Robert Price02/2020
12977*10^171535-99171536Robert Price06/2019
12982^569563-1854607171456Enzo Doria09/2015
12993*10^171391+59171392Robert Price08/2018
1300(13*10^171306-37)/3171307Robert Price01/2019
13018*10^171296+87171297Robert Price10/2019
1302(55^98419-1)/54171284Paul Bourdelais12/2017
1303(29*10^171275+67)/3171276Robert Price12/2019
13042^568642+1876129171179Enzo Doria07/2016
1305(46*10^170932+143)/9170933Robert Price01/2019
1306(79*10^170901-1)/3170903Robert Price02/2020
1307(58*10^170842+221)/9170843Robert Price02/2017
13083*10^170800+73170801Robert Price08/2018
130911^164009-270170798Enzo Doria10/2012
13102*10^170767+41170768Robert Price05/2018
13113^357706-112358170670Enzo Doria07/2014
1312TheodorusPrime(170657)170657Eric W. Weisstein08/2013
13132^566871+1876163170646Enzo Doria07/2016
1314(10657#+(404267#)/(10657#))/(1675379)170624Makoto Morimoto10/2017
13152^566496+7170533Donovan Johnson07/2006
1316(7^201653+1)/8170416Paul Bourdelais02/2010
13172^565183-352021170138Enzo Doria07/2015
13182^565143-114457170125Enzo Doria02/2015
13192^564976-49869170075Enzo Doria10/2015
13202^564526-351401169940Enzo Doria07/2015
13214*10^169759+19169760Robert Price10/2018
132221^128327-20^128327169677Jean-Louis Charton11/2014
1323(4*10^169559+83)/3169560Robert Price02/2018
13242^562749+2793047169405Enzo Doria02/2016
1325(154*10^169337-1)/9169339Serge Batalov12/2014
1326(56*10^169311+691)/9169312Robert Price05/2019
13272^562369-29503169290Enzo Doria08/2015
1328(22*10^169019+383)/9169020Robert Price05/2018
13295*10^168807+87168808Robert Price02/2019
13302^560405-39943168699Enzo Doria09/2015
1331(23*10^168608-83)/3168609Robert Price08/2019
13322^559686-350471168483Enzo Doria06/2015
13332^559672-1855889168479Enzo Doria09/2015
1334(5*10^168379-473)/9168379Robert Price01/2018
13352^559000-59939168276Enzo Doria11/2015
1336(16*10^168181+41)/3168182Robert Price03/2019
1337(19*10^168173+77)/3168174Robert Price05/2019
13382^558640-114149168168Enzo Doria12/2014
13392^558498-1849277168125Enzo Doria08/2015
13402^558476-1850249168119Enzo Doria08/2015
1341(7*10^168067+71)/3168068Robert Price05/2018
13422^558150-1852211168020Enzo Doria08/2015
13432^558125-113661168013Enzo Doria09/2014
1344393^64747-392^64747167980Jean-Louis Charton08/2012
1345(13*10^167911+179)/3167912Robert Price11/2018
1346(26*10^167861-167)/3167862Robert Price10/2019
134739^105456+2167788Robert Price04/2015
1348(28^115877-1)/27167691Paul Bourdelais12/2017
134910^167639+121911167640Patrick De Geest07/2018
135010^167639-8001167639Robert Price03/2018
13512^556504-462059167525Enzo Doria07/2015
13525*10^167510+9167511Robert Price08/2015
13532^555343+1874333167175Enzo Doria06/2016
13542^555210-461261167135Enzo Doria07/2015
13559*10^166996+59166997Robert Price01/2020
13562^554372+1880527166883Enzo Doria11/2016
13572^554299+72173166861Enzo Doria04/2016
1358(185*10^166837+7)/3166839Robert Price03/2020
13592^554037-2797063166782Enzo Doria03/2016
1360(49*10^166721-139)/9166722Robert Price03/2019
13612^553484-29819166616Enzo Doria08/2015
1362(188*10^166611+7)/3166613Robert Price03/2020
13632^553383-2784217166585Enzo Doria10/2015
13642^553069+76427166491Enzo Doria05/2016
13652*10^166458+51166459Robert Price05/2018
1366589^60089-588^60089166454Jean-Louis Charton09/2012
136711^159756-2424166369Mike Oakes06/2010
13682^552649-361275166364Enzo Doria05/2014
13692^552628-113669166358Enzo Doria09/2014
137010^166324+550603166325Patrick De Geest07/2018
137110^166324-801166324Robert Price02/2018
1372(85*10^166297-1)/3166299Robert Price02/2020
13738*10^166227+87166228Robert Price10/2019
13742^552137+1879397166210Enzo Doria09/2016
1375(23^121949-1)/22166061Paul Bourdelais10/2017
13762^551542+19249166031Payam Samidoost08/2002
13772^551535-23821166029Enzo Doria08/2013
13782^551507-23557166021Enzo Doria08/2013
13797*10^165916-3165917Robert Price08/2015
1380(29*10^165796+67)/3165797Robert Price12/2019
138181^86837-80^86837165728Robert Price01/2015
1382(71*10^165663-539)/9165664Robert Price07/2019
13832^550270-69551165648Enzo Doria12/2015
1384(202*10^165569-13)/9165571Robert Price01/2020
13852^550000-23625165567Enzo Doria08/2013
13862^549675-1852057165469Enzo Doria08/2015
1387-tau(103^14938)165374Nik Lygeros / Olivier Rozier10/2013
1388(28*10^165358-1)/9165359Serge Batalov10/2014
13902^549278+1879669165350Enzo Doria09/2016
1389(7*10^165350-439)/9165350Robert Price02/2018
13912^549252-351269165342Enzo Doria06/2015
1392(14*10^165282+73)/3165283Robert Price12/2018
13932^549049+2797607165281Enzo Doria04/2016
1394(7*10^165239+107)/3165240Robert Price02/2018
1395(44^100511-1)/43165184Paul Bourdelais11/2017
1396(7*10^165134+107)/3165135Robert Price02/2018
1397(23*10^165060-83)/3165061Robert Price08/2019
1398(76*10^164984+77)/9164985Robert Price10/2019
13992^547178-1856501164717Enzo Doria10/2015
140011^158160-60164707Enzo Doria07/2012
1401(26*10^164643-167)/3164644Robert Price10/2019
14022^546398-59201164483Enzo Doria10/2015
14032^546332-114893164463Enzo Doria05/2015
14042^545958+1876189164350Enzo Doria07/2016
14052^545878-49841164326Enzo Doria10/2015
1406(10^164284+77)/3164284Robert Price01/2018
14072^545668-4019164263Yves Minet04/2017
1408(13*53^238539*617^9)/10^247183164151Hans Havermann07/2017
1409(16*10^164122+197)/3164123Robert Price04/2019
14102^545185+76757164118Enzo Doria05/2016
14112^545076-114329164085Enzo Doria01/2015
1412(2*10^164043-143)/3164043Robert Price03/2018
1413(29^112153+1)/30164011Lelio R Paula03/2017
14142^544757+1874777163989Enzo Doria06/2016
14152^544444-457199163894Enzo Doria01/2015
14162^544264-343529163840Enzo Doria07/2015
14177*10^163780+9163781Robert Price09/2015
14182^543989+2793047163758Enzo Doria02/2016
1419(28*10^163709+113)/3163710Robert Price03/2020
14202^542870-69551163421Enzo Doria12/2015
14212^542395+72533163278Enzo Doria04/2016
14222^542072-3683163180Yves Minet03/2017
14232^541779-1867357163092Enzo Doria04/2016
14248*10^162924+9162925Robert Price12/2015
14252^540905+81557162829Enzo Doria08/2016
14262^540628-2939162746Yves Minet09/2014
1427919^54919-918^54919162743Jean-Louis Charton01/2013
1428(203*10^162689+1)/3162691Robert Price03/2020
14293*10^162620-59162621Robert Price09/2018
14303^340694-112960162553Enzo Doria07/2014
14312^539807-114081162499Enzo Doria12/2014
14322^539654-114893162453Enzo Doria05/2015
14332^539617-1851583162441Enzo Doria08/2015
1434(91*10^162410+11)/3162412Robert Price02/2020
14352^539346+81049162360Enzo Doria07/2016
14362^539220-115499162322Enzo Doria07/2015
14372^539217-113713162321Enzo Doria09/2014
14389^170099-8^170099162316Jean-Louis Charton05/2005
1439(115*10^162153-1)/3162155Serge Batalov12/2014
1440(10^162138+11)/3162138Serge Batalov07/2015
14412^538473-112723162097Enzo Doria06/2014
14422^538157+79337162002Enzo Doria06/2016
14432^538136-114749161996Enzo Doria05/2015
14442^538104+1531161986Lelio R Paula01/2013
1445(9*29^110727-1199)/14161927Curtis Bright05/2015
14462^537815-22737161899Enzo Doria07/2013
14472^537804-39839161896Enzo Doria09/2015
14482^537458-59201161791Enzo Doria10/2015
14492*10^161766+51161767Robert Price05/2018
14502^537209-49849161717Enzo Doria10/2015
1451(58*10^161691+329)/9161692Robert Price05/2019
14522^536937+1879397161635Enzo Doria09/2016
1453(31*10^161582-1)/3161584Robert Price02/2020
14542^536569-22881161524Enzo Doria07/2013
145510^161253+573493161254Patrick De Geest07/2018
145610^161253-8001161253Robert Price03/2018
14577*10^161192-9161193Robert Price10/2015
14582^535269-113803161133Enzo Doria09/2014
14592^535205-23295161113Enzo Doria08/2013
1460(89^82609+1)/90161036Paul Bourdelais10/2017
14612^534359-23229160859Enzo Doria08/2013
146267^88037-66^88037160763Robert Price10/2013
14632^533948-1852559160735Enzo Doria08/2015
14642^533665-23335160650Enzo Doria08/2013
1465(19*10^160619+77)/3160620Robert Price05/2019
14663^336353-2^336353160482Mike Oakes10/2007
1467(91*10^160249+11)/3160251Robert Price02/2020
14682^532253+1868417160225Enzo Doria04/2016
14692^532108-291989160181Enzo Doria07/2015
1470(26*10^160166-131)/3160167Robert Price10/2019
1471(17*10^160143+67)/3160144Robert Price01/2019
1472(19*10^159921-49)/3159922Robert Price05/2019
14732^531110-1853771159881Enzo Doria09/2015
14742^530992-1845299159845Enzo Doria07/2015
1475(136*10^159736-1)/9159738Serge Batalov12/2014
14762^530417-113833159672Enzo Doria09/2014
14772^530406-69701159669Enzo Doria02/2016
14785*10^159656+41159657Robert Price03/2019
14797^188858-188858^7159604Norbert Schneider05/2018
1480(24^115597-1)/23159547Paul Bourdelais09/2017
1481(17*10^159438-377)/9159439Robert Price03/2018
1482(203*10^159381+1)/3159383Robert Price03/2020
14832^528944-461315159229Enzo Doria07/2015
1484(13*10^159147+161)/3159148Robert Price11/2018
14852^528620-113879159131Enzo Doria10/2014
14862^528000-23307158944Enzo Doria08/2013
1487(29*10^158909+61)/9158910Robert Price08/2018
14882^527817+1876817158889Enzo Doria07/2016
14892^527774-49451158876Enzo Doria10/2015
14902^527745-291553158868Enzo Doria07/2015
1491(91*10^158862+11)/3158864Robert Price02/2020
14922^527644-1856999158837Enzo Doria10/2015
1493(37200^37199-37198^37199)/(2^37199)158822Henri Lifchitz06/2013
14942^527573-1863253158816Enzo Doria12/2015
14952^527553-23401158810Enzo Doria08/2013
149611^152420-210158730Enzo Doria09/2012
1497(13*10^158694+401)/9158695Robert Price01/2018
14982^527052-69059158659Enzo Doria11/2015
14992^526849-113233158598Enzo Doria07/2014
1500(2^526763-lucasV(1,2,526763)+1)/2158572Mike Oakes11/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: March, 29 2020 17:41 (Time in France)

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