PRP Records

Probable Primes Top 10000

(202622 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 ?
3751(77*10^93508+31)/993509Robert Price10/2015
3752(1000907^15583+1)/100090893499Faysal YAtim04/2009
3753(2*10^93497+7)/993497Erik Branger03/2011
37543^195958-11285293496Enzo Doria07/2014
37552^310583+1638593495Lelio R Paula03/2016
3756(9913*2^310557-1)/3593490Lelio R Paula04/2015
37579*7^110614+293481Lelio R Paula11/2014
37582^310469-829593461Lelio R Paula03/2016
37592^310459-115993458Yves Minet11/2012
37606^120075-9593437Lelio R Paula05/2016
37612^310289+9832793407Yves Minet11/2010
37622^310217-11314393385Enzo Doria07/2014
37637^110494-6893379Lelio R Paula04/2016
37642^310184-11309393375Enzo Doria07/2014
37652^310180-11041793374Enzo Doria05/2014
3766gcd(V(1124905),5*F(224981)*(F(224981)-1)+1)93372Serge Batalov04/2015
37673^195669+6893358Lelio R Paula04/2016
376810^93356+9193357Robert Price04/2011
376910^93356-2831393356Patrick De Geest08/2013
3770(85*10^93346+23)/993347Robert Price11/2015
3771(3^195648-5)/315827693342Lelio R Paula04/2013
37723^195556+868093304Lelio R Paula04/2016
37732^309942-10999193302Enzo Doria04/2014
37742^309926-186730193298Enzo Doria03/2016
37752^309924+8595193297Yves Minet03/2011
3776(86*10^93263-77)/993264Robert Price05/2016
37776^119836-12593251Lelio R Paula05/2016
3778(77*10^93249-257)/993250Robert Price10/2017
37793^195430-293244Theodore Burton02/2007
3780(13*10^93236+47)/393237Robert Price01/2017
3781(67*10^93226-7)/393228Robert Price10/2017
3782(86*10^93217-221)/993218Robert Price06/2017
37832^309637-1632993211Enzo Doria04/2013
3784(41*10^93207+49)/993208Robert Price04/2016
378514^81312-5793194Lelio R Paula06/2016
378641^57783-4093192Theodore Burton02/2007
37873*10^93179-9793180Robert Price08/2017
37885*7^110252-493175Lelio R Paula11/2014
37892^309380-2793133Lelio R Paula11/2012
379023*10^93116-793118Robert Price03/2016
3791(29*10^93082+1)/393083Robert Price11/2015
3792(58*10^93062-13)/993063Robert Price09/2015
37932^309131+186938393058Enzo Doria05/2016
37942^309066-9393039Lelio R Paula11/2012
37952^309063-11326993038Enzo Doria07/2014
37963^194965+1693022Robert Price10/2013
37972^308979+186914393012Enzo Doria05/2016
37985^133064+5493008Lelio R Paula04/2016
3799(2^308905-509203)/11992988Lelio R Paula06/2013
3800(94*10^92981-49)/9992981Ray Chandler07/2011
3801(2*10^92976-17)/392976Robert Price08/2014
38022^308809+3796792961Phil Moore03/2008
3803(3^194825+5)/1165692952Lelio R Paula04/2013
3804(2^308679+5)/157392919Lelio R Paula06/2013
38052^308650+51392913Lelio R Paula02/2016
38065*7^109936+692908Lelio R Paula10/2014
38072*10^92897+8992898Robert Price07/2016
380812^86073-2992889Lelio R Paula06/2016
38092^308566-11792888Lelio R Paula11/2012
3810(17*10^92869-11)/392870Robert Price07/2015
38112^308459+7543192856Enzo Doria04/2016
38122^308426-186637792846Enzo Doria03/2016
3813(96^46831-1)/9592830Paul Bourdelais09/2017
38142^308349-11211192823Enzo Doria06/2014
38159*10^92821+1992822Robert Price05/2016
38162^308337-7592819Lelio R Paula11/2012
38174*3^194508+792805Lelio R Paula08/2014
381822*25^66379-11392796Curtis Bright05/2015
381911^89101-108092790Enzo Doria12/2012
38202^308236-186785992789Enzo Doria04/2016
382112^85963+2592770Lelio R Paula06/2016
38227^109750-6692750Lelio R Paula04/2016
38239*10^92742+1192743Robert Kinser01/2017
3824(21*2^308046-1)/885792729Lelio R Paula02/2014
38252^307997-11065592717Enzo Doria05/2014
3826L(443609)92709Renaud Lifchitz11/2003
382710^92691+992692Robert Price03/2011
382810^92691-25229192691Patrick De Geest08/2013
38292^307879-252192681Yves Minet07/2014
3830(2^307780-7)/1995966992644Lelio R Paula06/2013
383114^80831+4792643Lelio R Paula06/2016
383215^78744+9292611Lelio R Paula07/2016
383365^51083-6492610Norbert Schneider11/2014
38346^118996-1694392597Enzo Doria02/2013
3835(16*10^92591+41)/392592Robert Price10/2017
3836(3^194014-7)/292568Lelio R Paula04/2013
3837(63^51439+1)/6492555Paul Bourdelais08/2017
3838(26*10^92546-77)/392547Robert Price02/2017
38393^193954+34092540Lelio R Paula04/2016
38402^307407-307407^292539Henri Lifchitz05/2005
3841(17*10^92513-11)/392514Robert Price07/2015
38422^307318-421192512Yves Minet06/2011
38432^307280+19392501Lelio R Paula11/2012
384420^71075-3392471Lelio R Paula05/2016
38452^307126-7879592455Lelio R Paula02/2016
38462^307125-4978992454Henri Lifchitz08/2005
38472^307099+2392447Lelio R Paula11/2012
38487*10^92414-6992415Robert Price01/2017
3849(9787*2^306975-1)/212915592407Lelio R Paula04/2015
38502^306915+187337392391Enzo Doria06/2016
38512^306908+1291592389Lelio R Paula02/2016
385219^72244-8092383Lelio R Paula06/2016
38542^306849+7592371Lelio R Paula11/2012
3853(397*10^92369+53)/992371Robert Price11/2017
38552^306813-86968810592360Lelio R Paula08/2016
38562^306672-10905992318Enzo Doria04/2014
38576^118604-1706392292Enzo Doria02/2013
3858(31*2^306487-1)/229192260Lelio R Paula02/2014
38592^306467-183561192256Enzo Doria04/2015
38602^306433+7642792246Enzo Doria05/2016
38612^306430-11331392245Enzo Doria07/2014
3862(23*10^92244-59)/992245Robert Price03/2017
3863(47*2^306398+1)/138480392231Lelio R Paula04/2015
3864(25*10^92186+59)/392187Robert Price05/2016
38652^306213-28618392180Enzo Doria06/2015
386610^92178+6192179Robert Price04/2011
386710^92178-17550992178Patrick De Geest07/2013
38682^306200+118592176Lelio R Paula02/2016
38692^306153+1192162Lelio R Paula11/2012
3870(2^306141-7)/592157Lelio R Paula06/2013
3871(26*10^92152-23)/392153Robert Price08/2016
3872(2*10^92152+67)/392152Robert Price04/2017
38734*10^92099+3*7^9209992100Mike Oakes12/2010
3874(2^305867-2^152934+1)/59207511/2006
38752^305851-10949592071Enzo Doria04/2014
387612^85300+3592055Lelio R Paula06/2016
38773^192911+9292042Lelio R Paula04/2016
38782^305723-27627192032Enzo Doria07/2015
38792^305676+9392018Donovan Johnson06/2008
38803^192819+491999Lelio R Paula04/2013
3881(38*10^91997-83)/9991997Ray Chandler07/2011
38822^305539+7291191977Enzo Doria04/2016
3883(2^305427-5)/129799821391934Lelio R Paula06/2013
388485^47642+8491922Norbert Schneider10/2015
388510^91920+18765191921Patrick De Geest07/2013
388610^91920-3991920Robert Price05/2011
3887(22*10^91903+41)/991904Robert Price02/2015
38892^305275-2791897Lelio R Paula11/2012
38883^192607-772691897Enzo Doria05/2014
3890(7*10^91856-61)/991856Erik Branger12/2009
3891(89*10^91839-53)/991840Robert Price11/2015
38928*5^131351+791812Lelio R Paula10/2014
38933^192426-6891811Lelio R Paula04/2016
38942^304973+11791807Lelio R Paula11/2012
38952^304939-186372791796Enzo Doria03/2016
38962^304902+841591785Lelio R Paula02/2016
389718^73119+6191785Lelio R Paula06/2016
3898(78557*2^304740+1)/15991739Lelio R Paula06/2014
38992^304747+7135591738Lelio R Paula02/2016
39008*3^192251+591728Lelio R Paula08/2014
39012^304674-8791717Lelio R Paula11/2012
3902(28*10^91715+701)/991716Robert Price11/2017
3903(2^304698+9)/136280995391715Lelio R Paula06/2013
3904(5*10^91707-119)/391708Robert Price04/2016
39052^304633-11277191704Enzo Doria06/2014
39069*10^91693+2391694Robert Price11/2017
39072^304578-1671391688Enzo Doria05/2013
39086^117824-1871391685Enzo Doria03/2013
3909(17^74509-1)/1691679Paul Bourdelais03/2010
3910(2^304551-7)/891223191673Lelio R Paula06/2013
3911(2^304532-3)/301391670Lelio R Paula06/2013
39122^304507-1664591666Enzo Doria04/2013
3913(29*2^304489+1)/3191661Lelio R Paula09/2013
39142^304471-183612791655Enzo Doria04/2015
39152^304433+3276991644Lelio R Paula02/2016
39162^304410-1662591637Enzo Doria04/2013
3917183^40500-291630Lelio R Paula10/2017
3918(203*10^91613+1)/391615Robert Price09/2017
39194*5^131052+791603Lelio R Paula10/2014
39202^304278-400191597Yves Minet04/2017
39212^304272-186637791595Enzo Doria03/2016
39222^304268+1968391594Lelio R Paula02/2016
39232^304162-16191562Lelio R Paula11/2012
39245*7^108331+691552Lelio R Paula10/2014
39252^304082-278782191538Enzo Doria03/2016
39262^304015+6413391518David Broadhurst06/2002
3927(7*2^303963+1)/391503Lelio R Paula09/2013
3928(2^303945-9)/361791494Lelio R Paula06/2013
39292^303930+188052791493Enzo Doria10/2016
39303^191684-6891457Lelio R Paula04/2016
3931(21*2^303813-1)/16991456Lelio R Paula02/2014
393211^87797-12091432Enzo Doria07/2012
39332^303698-184723191423Enzo Doria07/2015
3934(38^28933-1)^2-291416Norbert Schneider06/2016
39352^303554+7729991379Enzo Doria05/2016
39362^303542+1270591376Lelio R Paula02/2016
393731^61269-291375Lelio R Paula09/2013
39382^303516-6487591368Lelio R Paula02/2016
3939(24737*2^303428+1)/391345Lelio R Paula06/2014
3940(21181*2^303357+1)/3236191320Lelio R Paula06/2014
39412^303344-278696991316Enzo Doria03/2016
39426^117346+6591313Lelio R Paula05/2016
39432^303321+85591309Lelio R Paula02/2016
394412^84606+4791306Lelio R Paula06/2016
39452^303288+187431191299Enzo Doria06/2016
3946197^39788-291293Lelio R Paula10/2017
394711^87663-171091292Enzo Doria12/2012
39482^303224+253391280Henri Lifchitz05/2005
39496^117302+14391279Lelio R Paula05/2016
39503^191306-11288091277Enzo Doria07/2014
39512^303207+1291591275Lelio R Paula02/2016
39522^303191-11125991270Enzo Doria05/2014
395310^91230+9^(91230+1)91231Robert Price08/2016
395410^91230+792191231Patrick De Geest11/2016
395510^91230-91114191230Patrick De Geest11/2016
39566^117232-1742391225Enzo Doria02/2013
39577*10^91215+391216Erik Branger11/2009
395897*10^91205-391207Robert Price01/2017
39592^302979-16118191206Enzo Doria04/2013
39602^302949+8191197Henri Lifchitz02/2007
39614*6^117192-591194Lelio R Paula10/2014
39622^302918+9991188Lelio R Paula11/2012
39632^302797+186958791151Enzo Doria05/2016
3964265^37614+37614^26591148Norbert Schneider01/2015
39657^107852+8291146Lelio R Paula04/2016
3966(38*10^91144-11)/991145Robert Price05/2015
3967(55*10^91142+377)/991143Robert Price10/2017
3968249^38030+38030^24991128Norbert Schneider01/2015
39696^117094-21104991117Mike Oakes05/2011
39702^302602-186718191093Enzo Doria03/2016
3971(1017*2^302592-1)/5391091Lelio R Paula04/2015
397215^77445-1691083Lelio R Paula07/2016
39732^302505+8191064Henri Lifchitz02/2007
39742^302496-11234991061Enzo Doria06/2014
397517^73999-7291052Lelio R Paula07/2016
3976(16*10^91032+41)/391033Robert Price10/2017
39772^302332+57729457591012Lelio R Paula08/2016
39782^302274+7420990994Enzo Doria04/2016
3979(311^36497-1)/31090976Eric Chen09/2017
3980(3^190668+2)/8990970Lelio R Paula04/2013
39812^302188+9019590968Lelio R Paula02/2016
3982(53*10^90965-71)/990966Robert Price09/2015
39832^302113+7410590946Enzo Doria04/2016
39842^302102-655590942Lelio R Paula02/2016
3985156*(10^(4*22731)-1)/101-190925Robert Price05/2014
39863^190568+3890925Lelio R Paula04/2016
39872^302009-1644990914Enzo Doria04/2013
3988(17*2^301951-1)/16590896Lelio R Paula02/2014
39893^190497+7490891Lelio R Paula04/2016
3990(24737*2^301896+1)/39990882Lelio R Paula06/2014
399118^72397+8990878Lelio R Paula06/2016
39926^116769-4790864Lelio R Paula05/2016
39932^301712-46590825Lelio R Paula02/2016
39942^301693-6990819Lelio R Paula11/2012
39952^301683-301683^290816Henri Lifchitz05/2005
399611^87187-171090796Enzo Doria12/2012
39975*10^90793+2190794Robert Price01/2017
3998(22*10^90792-13)/990793Robert Price03/2015
39992^301591-161590788Lelio R Paula02/2016
4000(52^52901+1)/5390777Paul Bourdelais08/2017


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: February, 19 2018 09:17 (Time in France)

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