PRP Records

Probable Primes Top 10000

(173006 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 ?
3501(2*10^93497+7)/993497Erik Branger03/2011
35023^195958-11285293496Enzo Doria07/2014
35032^310583+1638593495Lelio R Paula03/2016
3504(9913*2^310557-1)/3593490Lelio R Paula04/2015
35059*7^110614+293481Lelio R Paula11/2014
35062^310469-829593461Lelio R Paula03/2016
35072^310459-115993458Yves Minet11/2012
35086^120075-9593437Lelio R Paula05/2016
35092^310289+9832793407Yves Minet11/2010
35102^310217-11314393385Enzo Doria07/2014
35117^110494-6893379Lelio R Paula04/2016
35122^310184-11309393375Enzo Doria07/2014
35132^310180-11041793374Enzo Doria05/2014
3514gcd(V(1124905),5*F(224981)*(F(224981)-1)+1)93372Serge Batalov04/2015
35153^195669+6893358Lelio R Paula04/2016
351610^93356+9193357Robert Price04/2011
351710^93356-2831393356Patrick De Geest08/2013
3518(85*10^93346+23)/993347Robert Price11/2015
3519(3^195648-5)/315827693342Lelio R Paula04/2013
35203^195556+868093304Lelio R Paula04/2016
35212^309942-10999193302Enzo Doria04/2014
35222^309926-186730193298Enzo Doria03/2016
35232^309924+8595193297Yves Minet03/2011
3524(86*10^93263-77)/993264Robert Price05/2016
35256^119836-12593251Lelio R Paula05/2016
35263^195430-293244Theodore Burton02/2007
3527(13*10^93236+47)/393237Robert Price01/2017
35282^309637-1632993211Enzo Doria04/2013
3529(41*10^93207+49)/993208Robert Price04/2016
353014^81312-5793194Lelio R Paula06/2016
353141^57783-4093192Theodore Burton02/2007
35325*7^110252-493175Lelio R Paula11/2014
35332^309380-2793133Lelio R Paula11/2012
353423*10^93116-793118Robert Price03/2016
3535(29*10^93082+1)/393083Robert Price11/2015
3536(58*10^93062-13)/993063Robert Price09/2015
35372^309131+186938393058Enzo Doria05/2016
35382^309066-9393039Lelio R Paula11/2012
35392^309063-11326993038Enzo Doria07/2014
35403^194965+1693022Robert Price10/2013
35412^308979+186914393012Enzo Doria05/2016
35425^133064+5493008Lelio R Paula04/2016
3543(2^308905-509203)/11992988Lelio R Paula06/2013
3544(94*10^92981-49)/9992981Ray Chandler07/2011
3545(2*10^92976-17)/392976Robert Price08/2014
35462^308809+3796792961Phil Moore03/2008
3547(3^194825+5)/1165692952Lelio R Paula04/2013
3548(2^308679+5)/157392919Lelio R Paula06/2013
35492^308650+51392913Lelio R Paula02/2016
35505*7^109936+692908Lelio R Paula10/2014
35512*10^92897+8992898Robert Price07/2016
355212^86073-2992889Lelio R Paula06/2016
35532^308566-11792888Lelio R Paula11/2012
3554(17*10^92869-11)/392870Robert Price07/2015
35552^308459+7543192856Enzo Doria04/2016
35562^308426-186637792846Enzo Doria03/2016
35572^308349-11211192823Enzo Doria06/2014
35589*10^92821+1992822Robert Price05/2016
35592^308337-7592819Lelio R Paula11/2012
35604*3^194508+792805Lelio R Paula08/2014
356122*25^66379-11392796Curtis Bright05/2015
356211^89101-108092790Enzo Doria12/2012
35632^308236-186785992789Enzo Doria04/2016
356412^85963+2592770Lelio R Paula06/2016
35657^109750-6692750Lelio R Paula04/2016
35669*10^92742+1192743Robert Kinser01/2017
3567(21*2^308046-1)/885792729Lelio R Paula02/2014
35682^307997-11065592717Enzo Doria05/2014
3569L(443609)92709Renaud Lifchitz11/2003
357010^92691+992692Robert Price03/2011
357110^92691-25229192691Patrick De Geest08/2013
35722^307879-252192681Yves Minet07/2014
3573(2^307780-7)/1995966992644Lelio R Paula06/2013
357414^80831+4792643Lelio R Paula06/2016
357515^78744+9292611Lelio R Paula07/2016
357665^51083-6492610Norbert Schneider11/2014
35776^118996-1694392597Enzo Doria02/2013
3578(3^194014-7)/292568Lelio R Paula04/2013
3579(26*10^92546-77)/392547Robert Price02/2017
35803^193954+34092540Lelio R Paula04/2016
35812^307407-307407^292539Henri Lifchitz05/2005
3582(17*10^92513-11)/392514Robert Price07/2015
35832^307318-421192512Yves Minet06/2011
35842^307280+19392501Lelio R Paula11/2012
358520^71075-3392471Lelio R Paula05/2016
35862^307126-7879592455Lelio R Paula02/2016
35872^307125-4978992454Henri Lifchitz08/2005
35882^307099+2392447Lelio R Paula11/2012
35897*10^92414-6992415Robert Price01/2017
3590(9787*2^306975-1)/212915592407Lelio R Paula04/2015
35912^306915+187337392391Enzo Doria06/2016
35922^306908+1291592389Lelio R Paula02/2016
359319^72244-8092383Lelio R Paula06/2016
35942^306849+7592371Lelio R Paula11/2012
35952^306813-86968810592360Lelio R Paula08/2016
35962^306672-10905992318Enzo Doria04/2014
35976^118604-1706392292Enzo Doria02/2013
3598(31*2^306487-1)/229192260Lelio R Paula02/2014
35992^306467-183561192256Enzo Doria04/2015
36002^306433+7642792246Enzo Doria05/2016
36012^306430-11331392245Enzo Doria07/2014
3602(23*10^92244-59)/992245Robert Price03/2017
3603(47*2^306398+1)/138480392231Lelio R Paula04/2015
3604(25*10^92186+59)/392187Robert Price05/2016
36052^306213-28618392180Enzo Doria06/2015
360610^92178+6192179Robert Price04/2011
360710^92178-17550992178Patrick De Geest07/2013
36082^306200+118592176Lelio R Paula02/2016
36092^306153+1192162Lelio R Paula11/2012
3610(2^306141-7)/592157Lelio R Paula06/2013
3611(26*10^92152-23)/392153Robert Price08/2016
3612(2*10^92152+67)/392152Robert Price04/2017
36134*10^92099+3*7^9209992100Mike Oakes12/2010
3614(2^305867-2^152934+1)/59207511/2006
36152^305851-10949592071Enzo Doria04/2014
361612^85300+3592055Lelio R Paula06/2016
36173^192911+9292042Lelio R Paula04/2016
36182^305723-27627192032Enzo Doria07/2015
36192^305676+9392018Donovan Johnson06/2008
36203^192819+491999Lelio R Paula04/2013
3621(38*10^91997-83)/9991997Ray Chandler07/2011
36222^305539+7291191977Enzo Doria04/2016
3623(2^305427-5)/129799821391934Lelio R Paula06/2013
362485^47642+8491922Norbert Schneider10/2015
362510^91920+18765191921Patrick De Geest07/2013
362610^91920-3991920Robert Price05/2011
3627(22*10^91903+41)/991904Robert Price02/2015
36292^305275-2791897Lelio R Paula11/2012
36283^192607-772691897Enzo Doria05/2014
3630(7*10^91856-61)/991856Erik Branger12/2009
3631(89*10^91839-53)/991840Robert Price11/2015
36328*5^131351+791812Lelio R Paula10/2014
36333^192426-6891811Lelio R Paula04/2016
36342^304973+11791807Lelio R Paula11/2012
36352^304939-186372791796Enzo Doria03/2016
36362^304902+841591785Lelio R Paula02/2016
363718^73119+6191785Lelio R Paula06/2016
3638(78557*2^304740+1)/15991739Lelio R Paula06/2014
36392^304747+7135591738Lelio R Paula02/2016
36408*3^192251+591728Lelio R Paula08/2014
36412^304674-8791717Lelio R Paula11/2012
3642(2^304698+9)/136280995391715Lelio R Paula06/2013
3643(5*10^91707-119)/391708Robert Price04/2016
36442^304633-11277191704Enzo Doria06/2014
36452^304578-1671391688Enzo Doria05/2013
36466^117824-1871391685Enzo Doria03/2013
3647(17^74509-1)/1691679Paul Bourdelais03/2010
3648(2^304551-7)/891223191673Lelio R Paula06/2013
3649(2^304532-3)/301391670Lelio R Paula06/2013
36502^304507-1664591666Enzo Doria04/2013
3651(29*2^304489+1)/3191661Lelio R Paula09/2013
36522^304471-183612791655Enzo Doria04/2015
36532^304433+3276991644Lelio R Paula02/2016
36542^304410-1662591637Enzo Doria04/2013
36554*5^131052+791603Lelio R Paula10/2014
36562^304278-400191597Yves Minet04/2017
36572^304272-186637791595Enzo Doria03/2016
36582^304268+1968391594Lelio R Paula02/2016
36592^304162-16191562Lelio R Paula11/2012
36605*7^108331+691552Lelio R Paula10/2014
36612^304082-278782191538Enzo Doria03/2016
36622^304015+6413391518David Broadhurst06/2002
3663(7*2^303963+1)/391503Lelio R Paula09/2013
3664(2^303945-9)/361791494Lelio R Paula06/2013
36652^303930+188052791493Enzo Doria10/2016
36663^191684-6891457Lelio R Paula04/2016
3667(21*2^303813-1)/16991456Lelio R Paula02/2014
366811^87797-12091432Enzo Doria07/2012
36692^303698-184723191423Enzo Doria07/2015
3670(38^28933-1)^2-291416Norbert Schneider06/2016
36712^303554+7729991379Enzo Doria05/2016
36722^303542+1270591376Lelio R Paula02/2016
367331^61269-291375Lelio R Paula09/2013
36742^303516-6487591368Lelio R Paula02/2016
3675(24737*2^303428+1)/391345Lelio R Paula06/2014
3676(21181*2^303357+1)/3236191320Lelio R Paula06/2014
36772^303344-278696991316Enzo Doria03/2016
36786^117346+6591313Lelio R Paula05/2016
36792^303321+85591309Lelio R Paula02/2016
368012^84606+4791306Lelio R Paula06/2016
36812^303288+187431191299Enzo Doria06/2016
368211^87663-171091292Enzo Doria12/2012
36832^303224+253391280Henri Lifchitz05/2005
36846^117302+14391279Lelio R Paula05/2016
36853^191306-11288091277Enzo Doria07/2014
36862^303207+1291591275Lelio R Paula02/2016
36872^303191-11125991270Enzo Doria05/2014
368810^91230+9^(91230+1)91231Robert Price08/2016
368910^91230+792191231Patrick De Geest11/2016
369010^91230-91114191230Patrick De Geest11/2016
36916^117232-1742391225Enzo Doria02/2013
36927*10^91215+391216Erik Branger11/2009
369397*10^91205-391207Robert Price01/2017
36942^302979-16118191206Enzo Doria04/2013
36952^302949+8191197Henri Lifchitz02/2007
36964*6^117192-591194Lelio R Paula10/2014
36972^302918+9991188Lelio R Paula11/2012
36982^302797+186958791151Enzo Doria05/2016
3699265^37614+37614^26591148Norbert Schneider01/2015
37007^107852+8291146Lelio R Paula04/2016
3701(38*10^91144-11)/991145Robert Price05/2015
3702249^38030+38030^24991128Norbert Schneider01/2015
37036^117094-21104991117Mike Oakes05/2011
37042^302602-186718191093Enzo Doria03/2016
3705(1017*2^302592-1)/5391091Lelio R Paula04/2015
370615^77445-1691083Lelio R Paula07/2016
37072^302505+8191064Henri Lifchitz02/2007
37082^302496-11234991061Enzo Doria06/2014
370917^73999-7291052Lelio R Paula07/2016
37102^302332+57729457591012Lelio R Paula08/2016
37112^302274+7420990994Enzo Doria04/2016
3712(3^190668+2)/8990970Lelio R Paula04/2013
37132^302188+9019590968Lelio R Paula02/2016
3714(53*10^90965-71)/990966Robert Price09/2015
37152^302113+7410590946Enzo Doria04/2016
37162^302102-655590942Lelio R Paula02/2016
3717156*(10^(4*22731)-1)/101-190925Robert Price05/2014
37183^190568+3890925Lelio R Paula04/2016
37192^302009-1644990914Enzo Doria04/2013
3720(17*2^301951-1)/16590896Lelio R Paula02/2014
37213^190497+7490891Lelio R Paula04/2016
3722(24737*2^301896+1)/39990882Lelio R Paula06/2014
372318^72397+8990878Lelio R Paula06/2016
37246^116769-4790864Lelio R Paula05/2016
37252^301712-46590825Lelio R Paula02/2016
37262^301693-6990819Lelio R Paula11/2012
37272^301683-301683^290816Henri Lifchitz05/2005
372811^87187-171090796Enzo Doria12/2012
37295*10^90793+2190794Robert Price01/2017
3730(22*10^90792-13)/990793Robert Price03/2015
37312^301591-161590788Lelio R Paula02/2016
37322^301546-10903790775Enzo Doria04/2014
373314^79195-390768Lelio R Paula06/2016
37342^301517-186169390766Enzo Doria11/2015
37352^301460-17390749Lelio R Paula11/2012
37362^301312-8990704Lelio R Paula11/2012
37372^301285-12990696Lelio R Paula11/2012
37382^301282-10999190695Enzo Doria04/2014
37392^301228-185426990679Enzo Doria09/2015
3740(151*10^90669-1)/390671Robert Price04/2017
3741(32*10^90669+13)/990670Robert Price04/2015
37423*5^129698+890656Lelio R Paula10/2014
3743F(433781)90655Henri Lifchitz09/2003
374419^70891+8290653Lelio R Paula06/2016
3745(29*2^301124-1)/1390648Lelio R Paula02/2014
37467*3^189953-890632Lelio R Paula08/2014
374711^87022-180090625Enzo Doria12/2012
3748(2^301042+47)/1203696990616Lelio R Paula06/2013
37492^301004-278693990612Enzo Doria03/2016
37502^300980-2790605Lelio R Paula11/2012


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: May, 25 2017 10:58 (Time in France)

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