PRP Records

Probable Primes Top 10000

(255169 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 ?
1251(54^99563+1)/55172481Paul Bourdelais11/2017
12522^572592-114893172368Enzo Doria05/2015
12535^246497-4^246497172295Jean-Louis Charton11/2008
1254(38^109037-1)/37172254Paul Bourdelais10/2017
12553*10^172219+73172220Robert Price08/2018
1256(36^110503+1)/37171975Lelio R Paula04/2017
1257(22*10^171929-73)/3171930Robert Price04/2019
12584*10^171891-63171892Robert Price10/2018
12592^570980-2782289171883Enzo Doria09/2015
1260(25*10^171849-37)/3171850Robert Price10/2019
1261(2^(12*47563+13)-9)/7171818Kevin Acres11/2013
12627*10^171535-99171536Robert Price06/2019
12632^569563-1854607171456Enzo Doria09/2015
12643*10^171391+59171392Robert Price08/2018
1265(13*10^171306-37)/3171307Robert Price01/2019
1266(55^98419-1)/54171284Paul Bourdelais12/2017
12672^568642+1876129171179Enzo Doria07/2016
1268(46*10^170932+143)/9170933Robert Price01/2019
1269(58*10^170842+221)/9170843Robert Price02/2017
12703*10^170800+73170801Robert Price08/2018
127111^164009-270170798Enzo Doria10/2012
12722*10^170767+41170768Robert Price05/2018
12733^357706-112358170670Enzo Doria07/2014
1274TheodorusPrime(170657)170657Eric W. Weisstein08/2013
12752^566871+1876163170646Enzo Doria07/2016
1276(10657#+(404267#)/(10657#))/(1675379)170624Makoto Morimoto10/2017
12772^566496+7170533Donovan Johnson07/2006
1278(7^201653+1)/8170416Paul Bourdelais02/2010
12792^565183-352021170138Enzo Doria07/2015
12802^565143-114457170125Enzo Doria02/2015
12812^564976-49869170075Enzo Doria10/2015
12822^564526-351401169940Enzo Doria07/2015
12834*10^169759+19169760Robert Price10/2018
128421^128327-20^128327169677Jean-Louis Charton11/2014
1285(4*10^169559+83)/3169560Robert Price02/2018
12862^562749+2793047169405Enzo Doria02/2016
1287(154*10^169337-1)/9169339Serge Batalov12/2014
1288(56*10^169311+691)/9169312Robert Price05/2019
12892^562369-29503169290Enzo Doria08/2015
1290(22*10^169019+383)/9169020Robert Price05/2018
12915*10^168807+87168808Robert Price02/2019
12922^560405-39943168699Enzo Doria09/2015
1293(23*10^168608-83)/3168609Robert Price08/2019
12942^559686-350471168483Enzo Doria06/2015
12952^559672-1855889168479Enzo Doria09/2015
1296(5*10^168379-473)/9168379Robert Price01/2018
12972^559000-59939168276Enzo Doria11/2015
1298(16*10^168181+41)/3168182Robert Price03/2019
1299(19*10^168173+77)/3168174Robert Price05/2019
13002^558640-114149168168Enzo Doria12/2014
13012^558498-1849277168125Enzo Doria08/2015
13022^558476-1850249168119Enzo Doria08/2015
1303(7*10^168067+71)/3168068Robert Price05/2018
13042^558150-1852211168020Enzo Doria08/2015
13052^558125-113661168013Enzo Doria09/2014
1306393^64747-392^64747167980Jean-Louis Charton08/2012
1307(13*10^167911+179)/3167912Robert Price11/2018
1308(26*10^167861-167)/3167862Robert Price10/2019
130939^105456+2167788Robert Price04/2015
1310(28^115877-1)/27167691Paul Bourdelais12/2017
131110^167639+121911167640Patrick De Geest07/2018
131210^167639-8001167639Robert Price03/2018
13132^556504-462059167525Enzo Doria07/2015
13145*10^167510+9167511Robert Price08/2015
13152^555343+1874333167175Enzo Doria06/2016
13162^555210-461261167135Enzo Doria07/2015
13172^554372+1880527166883Enzo Doria11/2016
13182^554299+72173166861Enzo Doria04/2016
13192^554037-2797063166782Enzo Doria03/2016
1320(49*10^166721-139)/9166722Robert Price03/2019
13212^553484-29819166616Enzo Doria08/2015
13222^553383-2784217166585Enzo Doria10/2015
13232^553069+76427166491Enzo Doria05/2016
13242*10^166458+51166459Robert Price05/2018
1325589^60089-588^60089166454Jean-Louis Charton09/2012
132611^159756-2424166369Mike Oakes06/2010
13272^552649-361275166364Enzo Doria05/2014
13282^552628-113669166358Enzo Doria09/2014
132910^166324+550603166325Patrick De Geest07/2018
133010^166324-801166324Robert Price02/2018
13312^552137+1879397166210Enzo Doria09/2016
1332(23^121949-1)/22166061Paul Bourdelais10/2017
13332^551542+19249166031Payam Samidoost08/2002
13342^551535-23821166029Enzo Doria08/2013
13352^551507-23557166021Enzo Doria08/2013
13367*10^165916-3165917Robert Price08/2015
133781^86837-80^86837165728Robert Price01/2015
1338(71*10^165663-539)/9165664Robert Price07/2019
13392^550270-69551165648Enzo Doria12/2015
13402^550000-23625165567Enzo Doria08/2013
13412^549675-1852057165469Enzo Doria08/2015
1342-tau(103^14938)165374Nik Lygeros / Olivier Rozier10/2013
1343(28*10^165358-1)/9165359Serge Batalov10/2014
13442^549278+1879669165350Enzo Doria09/2016
1345(7*10^165350-439)/9165350Robert Price02/2018
13462^549252-351269165342Enzo Doria06/2015
1347(14*10^165282+73)/3165283Robert Price12/2018
13482^549049+2797607165281Enzo Doria04/2016
1349(7*10^165239+107)/3165240Robert Price02/2018
1350(44^100511-1)/43165184Paul Bourdelais11/2017
1351(7*10^165134+107)/3165135Robert Price02/2018
1352(23*10^165060-83)/3165061Robert Price08/2019
1353(76*10^164984+77)/9164985Robert Price10/2019
13542^547178-1856501164717Enzo Doria10/2015
135511^158160-60164707Enzo Doria07/2012
1356(26*10^164643-167)/3164644Robert Price10/2019
13572^546398-59201164483Enzo Doria10/2015
13582^546332-114893164463Enzo Doria05/2015
13592^545958+1876189164350Enzo Doria07/2016
13602^545878-49841164326Enzo Doria10/2015
1361(10^164284+77)/3164284Robert Price01/2018
13622^545668-4019164263Yves Minet04/2017
1363(13*53^238539*617^9)/10^247183164151Hans Havermann07/2017
1364(16*10^164122+197)/3164123Robert Price04/2019
13652^545185+76757164118Enzo Doria05/2016
13662^545076-114329164085Enzo Doria01/2015
1367(2*10^164043-143)/3164043Robert Price03/2018
1368(29^112153+1)/30164011Lelio R Paula03/2017
13692^544757+1874777163989Enzo Doria06/2016
13702^544444-457199163894Enzo Doria01/2015
13712^544264-343529163840Enzo Doria07/2015
13727*10^163780+9163781Robert Price09/2015
13732^543989+2793047163758Enzo Doria02/2016
13742^542870-69551163421Enzo Doria12/2015
13752^542395+72533163278Enzo Doria04/2016
13762^542072-3683163180Yves Minet03/2017
13772^541779-1867357163092Enzo Doria04/2016
13788*10^162924+9162925Robert Price12/2015
13792^540905+81557162829Enzo Doria08/2016
13802^540628-2939162746Yves Minet09/2014
1381919^54919-918^54919162743Jean-Louis Charton01/2013
13823*10^162620-59162621Robert Price09/2018
13833^340694-112960162553Enzo Doria07/2014
13842^539807-114081162499Enzo Doria12/2014
13852^539654-114893162453Enzo Doria05/2015
13862^539617-1851583162441Enzo Doria08/2015
13872^539346+81049162360Enzo Doria07/2016
13882^539220-115499162322Enzo Doria07/2015
13892^539217-113713162321Enzo Doria09/2014
13909^170099-8^170099162316Jean-Louis Charton05/2005
1391(115*10^162153-1)/3162155Serge Batalov12/2014
1392(10^162138+11)/3162138Serge Batalov07/2015
13932^538473-112723162097Enzo Doria06/2014
13942^538157+79337162002Enzo Doria06/2016
13952^538136-114749161996Enzo Doria05/2015
13962^538104+1531161986Lelio R Paula01/2013
1397(9*29^110727-1199)/14161927Curtis Bright05/2015
13982^537815-22737161899Enzo Doria07/2013
13992^537804-39839161896Enzo Doria09/2015
14002^537458-59201161791Enzo Doria10/2015
14012*10^161766+51161767Robert Price05/2018
14022^537209-49849161717Enzo Doria10/2015
1403(58*10^161691+329)/9161692Robert Price05/2019
14042^536937+1879397161635Enzo Doria09/2016
14052^536569-22881161524Enzo Doria07/2013
140610^161253+573493161254Patrick De Geest07/2018
140710^161253-8001161253Robert Price03/2018
14087*10^161192-9161193Robert Price10/2015
14092^535269-113803161133Enzo Doria09/2014
14102^535205-23295161113Enzo Doria08/2013
1411(89^82609+1)/90161036Paul Bourdelais10/2017
14122^534359-23229160859Enzo Doria08/2013
141367^88037-66^88037160763Robert Price10/2013
14142^533948-1852559160735Enzo Doria08/2015
14152^533665-23335160650Enzo Doria08/2013
1416(19*10^160619+77)/3160620Robert Price05/2019
14173^336353-2^336353160482Mike Oakes10/2007
14182^532253+1868417160225Enzo Doria04/2016
14192^532108-291989160181Enzo Doria07/2015
1420(17*10^160143+67)/3160144Robert Price01/2019
1421(19*10^159921-49)/3159922Robert Price05/2019
14222^531110-1853771159881Enzo Doria09/2015
14232^530992-1845299159845Enzo Doria07/2015
1424(136*10^159736-1)/9159738Serge Batalov12/2014
14252^530417-113833159672Enzo Doria09/2014
14262^530406-69701159669Enzo Doria02/2016
14275*10^159656+41159657Robert Price03/2019
14287^188858-188858^7159604Norbert Schneider05/2018
1429(24^115597-1)/23159547Paul Bourdelais09/2017
1430(17*10^159438-377)/9159439Robert Price03/2018
14312^528944-461315159229Enzo Doria07/2015
1432(13*10^159147+161)/3159148Robert Price11/2018
14332^528620-113879159131Enzo Doria10/2014
14342^528000-23307158944Enzo Doria08/2013
1435(29*10^158909+61)/9158910Robert Price08/2018
14362^527817+1876817158889Enzo Doria07/2016
14372^527774-49451158876Enzo Doria10/2015
14382^527745-291553158868Enzo Doria07/2015
14392^527644-1856999158837Enzo Doria10/2015
1440(37200^37199-37198^37199)/(2^37199)158822Henri Lifchitz06/2013
14412^527573-1863253158816Enzo Doria12/2015
14422^527553-23401158810Enzo Doria08/2013
144311^152420-210158730Enzo Doria09/2012
1444(13*10^158694+401)/9158695Robert Price01/2018
14452^527052-69059158659Enzo Doria11/2015
14462^526849-113233158598Enzo Doria07/2014
1447(2^526763-lucasV(1,2,526763)+1)/2158572Mike Oakes11/2016
14482^526658-3551158540Yves Minet03/2017
14497*10^158465-11158466Robert Price06/2019
14502^526375-23115158455Enzo Doria08/2013
1451(77*10^158407-293)/9158408Robert Price09/2019
14522^526028-112793158351Enzo Doria07/2014
14532^525690-9221158249Lelio R Paula01/2013
14542*10^158242-7158243Robert Price10/2015
14552^525667-525667^2158242Henri Lifchitz12/2017
14562^525186-1857431158097Enzo Doria10/2015
14572^524515-23245157895Enzo Doria08/2013
14582^524499-109087157890Enzo Doria04/2014
14592^18067*(2^506221+1)-1157827Makoto Morimoto05/2014
14602^524288+189093157827Makoto Morimoto01/2016
1461(2^(2^19)-9333)/(19*23*463*1213*31973)157814Makoto Morimoto09/2017
1462(10^157792+359)/9157792Serge Batalov12/2014
14632^523924+1876591157717Enzo Doria07/2016
1464(17*10^157705+67)/3157706Robert Price01/2019
1465(46^94841+1)/47157696Robert Price01/2014
14662^523774+77839157672Enzo Doria05/2016
14672^523587+2799143157616Enzo Doria04/2016
14682^523371+1872113157551Enzo Doria05/2016
14692^522535-351457157299Enzo Doria07/2015
14702^522226+2799079157206Enzo Doria04/2016
14712^522134-1849451157178Enzo Doria08/2015
14724*10^157150+93157151Robert Price08/2018
14732^521401-29593156958Enzo Doria08/2015
14747*10^156956+87156957Robert Price07/2019
14752^521348-23397156942Enzo Doria08/2013
1476(98^78797+1)/99156901Paul Bourdelais12/2017
147765^86522+64156857Lelio R Paula04/2016
14788^173687-7^173687156855Jean-Louis Charton09/2004
14792^520977-1858183156830Enzo Doria10/2015
1480(8*10^156718-101)/3156719Robert Price08/2018
14812^520314-1849481156631Enzo Doria08/2015
1482(13*10^156522+89)/3156523Robert Price09/2018
1483(2^(6*86654+1)-5)/3156513Kevin Acres12/2013
14843*10^156435-97156436Robert Price07/2018
1485(8*10^156371-77)/3156372Robert Price07/2018
148653^90679-52^90679156356Robert Price01/2013
14872^519106-59141156267Enzo Doria10/2015
14882^519053+6077156251Enzo Doria02/2016
14892^518968-1860989156225Enzo Doria11/2015
1490(25*10^156221-7)/9156222Robert Price05/2018
14912^518931-2782297156214Enzo Doria09/2015
14922^518608-2939156117Yves Minet09/2014
149310*27^109005+697156027Curtis Bright05/2015
14942^517967-113485155924Enzo Doria08/2014
14952^517698+4429155843Lelio R Paula01/2013
14962^517543-113257155796Enzo Doria07/2014
1497(14*10^155740-143)/3155741Robert Price11/2018
149831^104309-30^104309155563Henri Lifchitz08/2013
14992^516742-39851155555Enzo Doria09/2015
15007*10^155496+61155497Robert Price08/2019


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: October, 13 2019 10:51 (Time in France)

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