PRP Records

Probable Primes Top 10000

(252932 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 ?
2751(23*2^366739+1)/74575110396Lelio R Paula03/2014
27522^366716+1871791110393Enzo Doria05/2016
27532^366649+1871687110373Enzo Doria05/2016
27542^366629-351205110367Enzo Doria06/2015
27552^366558+1874479110345Enzo Doria06/2016
275618^87853-4409110280Enzo Doria03/2013
27572^366218-23110243Lelio R Paula02/2013
2758(21*2^366193-1)/197110235Lelio R Paula03/2014
27592^366178-343991110231Enzo Doria07/2015
27602^365944+1871341110161Enzo Doria05/2016
27612^365838-461267110129Enzo Doria07/2015
27622^365763-6555110106Lelio R Paula04/2017
2763(2^365689+2^182845+1)/511008311/2006
27642^365666-459161110077Enzo Doria05/2015
27653*10^110076-7110077Robert Price08/2015
276613^98785-72110041Lelio R Paula03/2017
2767(25^78707+1)/26110027Robert Price06/2013
2768(7*10^110006-151)/9110006Robert Price02/2018
27696^141361-7110001Lelio R Paula11/2014
277020^84536+81109984Lelio R Paula03/2017
27715*2^365347-9109982Lelio R Paula09/2014
27729*6^141303+7109957Lelio R Paula11/2014
277378^58099+77109929Norbert Schneider02/2015
27742*10^109928-7109929Robert Price10/2015
2775(27*2^365137-1)/2021109916Lelio R Paula03/2014
2776(4441*29^75152-24)/7109905Curtis Bright05/2015
2777(2^365087+7)/6015109899Lelio R Paula01/2014
277818^87533-11109878Lelio R Paula04/2017
27792^364982-5109871Henri Lifchitz04/2006
27803*10^109861+59109862Robert Price08/2018
27812^364936-1867979109857Enzo Doria04/2016
27822^364867-112087109836Enzo Doria06/2014
27834^182415-85061109825Mike Oakes06/2011
2784(17^89227+16^89227)/33109788Robert Price08/2013
27852^364687-187109782Lelio R Paula01/2012
27862^364644+67109769Lelio R Paula01/2012
2787(9787*2^364625-1)/24947109763Lelio R Paula05/2015
2788(2^364616+5)/9109760Lelio R Paula01/2014
2789(55*10^109759+89)/9109760Robert Price03/2019
279012^101694+73109747Lelio R Paula03/2017
279113^98518-66109744Lelio R Paula03/2017
27922^364478-113261109719Enzo Doria07/2014
2793(2^364513+1)/(3*44290516579)109719Gord Palameta08/2018
2794(24737*2^364454+1)/3109716Lelio R Paula07/2014
2795(62*10^109673+1)/9109674Serge Batalov11/2010
27963^229824+340109654Lelio R Paula03/2017
2797(2*10^109645-71)/3109645Robert Price12/2017
27982^364169-112813109626Enzo Doria06/2014
279910^109615+21109616Lelio R Paula03/2017
280010^109615-456267109615Patrick De Geest03/2017
28012^364094-113109604Lelio R Paula01/2012
2802(4^182026+11)/3109591Robert Price02/2017
28032^364041-6883109588Lelio R Paula09/2011
280412^101545+11109586Lelio R Paula03/2017
28052^363842-2787101109528Enzo Doria03/2016
2806(22699*2^363782+1)/763109511Lelio R Paula07/2014
28072^363769+5711109506Lelio R Paula04/2017
2808(31*2^363748+1)/49109499Lelio R Paula03/2014
2809p(22245)#/2-8109462Robert Price01/2017
28102^363556+55109442Lelio R Paula01/2012
2811(55459*2^363411+1)/81109401Lelio R Paula07/2014
28122^363406+1871569109397Enzo Doria05/2016
2813(2^363349+7)/9109378Lelio R Paula01/2014
28143^229236+100109374Lelio R Paula03/2017
28152^363268-58695109355Lelio R Paula04/2017
28162^363191-112321109332Enzo Doria06/2014
28174*10^109316-63109317Robert Price10/2018
28182^363120+3109311Donovan Johnson04/2006
2819(10^109297-1)/9109297Paul Bourdelais, Harvey Dubner04/2007
28202^363042-114641109287Enzo Doria04/2015
28212^363020-112793109280Enzo Doria06/2014
2822(67607*2^362695+1)/70499109183Lelio R Paula07/2014
2823(9*2^362644+1)/5109167Lelio R Paula03/2014
28245^156181+38109166Lelio R Paula02/2017
28254*10^109142+91109143Robert Price08/2018
28263^228750+68109142Lelio R Paula03/2017
2827(10223*2^362376+1)/9109090Lelio R Paula07/2014
282865^60167-64^60167109078Robert Price08/2013
28297*3^228589-2109066Lelio R Paula09/2014
2830(78557*2^362188+1)/189109033Lelio R Paula07/2014
28312*7^129008+9109025Lelio R Paula11/2014
2832(5*10^108960+91)/3108961Robert Price04/2018
28332^361957+76367108960Enzo Doria05/2016
28342^361873-1411108935Yves Minet01/2013
2835(24737*2^361857+1)/35108933Lelio R Paula07/2014
2836115^52842-114108892Norbert Schneider07/2018
283713^97745-24108883Lelio R Paula03/2017
283817^88475+8108864Lelio R Paula04/2017
28392^361567+51108843Lelio R Paula01/2012
28402^361563-109501108842Enzo Doria04/2014
284112^100852+83108838Lelio R Paula03/2017
28422^361497+767108822Lelio R Paula01/2012
28432^361280-112349108757Enzo Doria06/2014
28442^361271-5955108754Lelio R Paula04/2017
284512^100757+19108736Lelio R Paula03/2017
284614^94849-61108710Lelio R Paula05/2017
2847(19^85009-5^85009)/14108705Robert Price07/2013
2848(11*2^361027+1)/40463108677Lelio R Paula03/2014
28492^360973+1299108664Lelio R Paula04/2017
28502^360959-109101108660Enzo Doria04/2014
28516*5^155454+7108659Lelio R Paula11/2014
285210^108656+79108657Lelio R Paula02/2017
285310^108656-50001108656Patrick De Geest03/2017
28542^360918-35108648Lelio R Paula01/2012
2855(11*2^360886-1)/7108638Lelio R Paula03/2014
28563*10^108624-49108625Robert Price07/2018
28572^360706-458903108584Enzo Doria04/2015
28582^360641-113185108564Enzo Doria07/2014
28592^360618+75019108557Enzo Doria04/2016
2860(14*10^108545-221)/9108546Robert Price04/2018
2861(44*10^108544-233)/9108545Robert Price01/2019
28623*5^155286+2108541Lelio R Paula11/2014
28637^128422+4108530Lelio R Paula11/2014
28647^128421-80108529Lelio R Paula03/2017
28652^360497+53807108521Yves Minet07/2010
28662^360468-4559108512Yves Minet03/2019
28672^360366+1459108481Lelio R Paula09/2011
28682^360364-1499108481Yves Minet05/2013
286914^94642-23108472Lelio R Paula05/2017
28704*10^108412+9108413Robert Price05/2015
2871133^51042-132108406Norbert Schneider02/2019
28722^360093-351103108399Enzo Doria06/2015
28732^360042+723108384Lelio R Paula01/2012
287485^56164-2108364Lelio R Paula10/2013
28752^359937-29323108352Enzo Doria07/2015
28762^359898-19997108341Enzo Doria06/2013
28772*5^154948-7108305Lelio R Paula11/2014
287810^108303+13108304Lelio R Paula02/2017
287910^108303-207959108303Patrick De Geest03/2017
28802^359730+753108290Lelio R Paula12/2011
2881(8*10^108273+13)/3108274Robert Price06/2018
28822^359650-19797108266Enzo Doria06/2013
288391^55259-90^55259108255Robert Price07/2015
28844*10^108238-71108239Robert Price12/2018
28853^226845+68108233Lelio R Paula03/2017
28865^154822-12866108216Enzo Doria05/2014
2887(9*2^359480+1)/5108215Lelio R Paula03/2014
28882^359454-177108207Lelio R Paula12/2011
2889(19*10^108184+191)/3108185Robert Price05/2019
28906^139022-59108181Lelio R Paula02/2017
2891(19*10^108176-43)/3108177Robert Price05/2019
28922^359352-179108176Lelio R Paula12/2011
28932^359338-1858781108172Enzo Doria04/2016
289412^100230-97108167Lelio R Paula03/2017
2895(25*2^359297-1)/137108159Lelio R Paula03/2014
2896(2^359262-509203)/9108148Lelio R Paula12/2013
2897(3^226648-8)/352715633108131Lelio R Paula12/2013
28986^138956-59108129Lelio R Paula02/2017
28992^359184+30285108126Lelio R Paula04/2017
290013^97059+10108119Lelio R Paula03/2017
29012^359137-81108112Lelio R Paula12/2011
2903(15185*2^359105-1)/567108103Lelio R Paula05/2015
29022^359110-11655108103Lelio R Paula04/2017
29048*6^138875+5108067Lelio R Paula11/2014
29052^358987-216919108066Enzo Doria05/2014
290639^67918-67918^39108062Norbert Schneider02/2017
29072^358785-16933108006Enzo Doria05/2013
2908(2^358783+5)/33383108000Lelio R Paula12/2013
29096^138770-77107985Lelio R Paula02/2017
2910(2^358727-1017)/94178479107980Lelio R Paula12/2013
291110^107976+19107977Lelio R Paula02/2017
291210^107976-202103107976Patrick De Geest03/2017
29132^358684+75781107975Enzo Doria04/2016
291499^54094+2107952Lelio R Paula06/2013
2915(2^358583-9)/391107942Lelio R Paula12/2013
29162^358538+55107931Lelio R Paula12/2011
29172^358517-109009107925Enzo Doria03/2014
29183^226159+104107906Lelio R Paula03/2017
29192^358310-11655107863Lelio R Paula03/2017
29202^358275-112987107852Enzo Doria07/2014
29212^358233-20005107839Enzo Doria06/2013
29222^358194+175107828Lelio R Paula12/2011
2923107^53125-106107812Norbert Schneider12/2016
29243^225922-2107793Lelio R Paula10/2013
292512^99874-95107783Lelio R Paula03/2017
29262^358030-171107778Lelio R Paula12/2011
292711^103488-4170107772Enzo Doria12/2012
29282^357930-4547107748Yves Minet03/2019
29292^357911-20089107742Enzo Doria06/2013
29302^357885+12857107735Yves Minet07/2010
2931(248587#+9289)/(7*1327*111512899)107733Makoto Morimoto06/2019
29327^127473+40107728Lelio R Paula03/2017
29335*2^357850+9107725Lelio R Paula09/2014
29342^357786-291191107705Enzo Doria06/2015
293518^85798-23107700Lelio R Paula04/2017
2936(14*10^107694-83)/3107695Robert Price12/2018
29372^357688-1854269107675Enzo Doria09/2015
29382^357671-112225107670Enzo Doria06/2014
29392^357618-21005107654Enzo Doria06/2013
29402^357615-17505107653Enzo Doria05/2013
2941(30^72871-1)/29107638Robert Price12/2011
29422^357521+1870217107625Enzo Doria05/2016
29432^357477-1203107612Lelio R Paula03/2017
29445^153894-18107568Lelio R Paula02/2017
29452^357324-69059107566Enzo Doria11/2015
2946467^40296+40296^467107563Norbert Schneider03/2019
29472^357283-869688105107553Lelio R Paula01/2017
29482^357280-16805107552Enzo Doria05/2013
294910^107547+481719107548Patrick De Geest03/2017
295010^107547-47107547Lelio R Paula02/2017
295117^87396-32107537Lelio R Paula04/2017
29522^357081+107107493Lelio R Paula12/2011
29532^357058-3911107486Yves Minet04/2017
29543^225274+64107484Lelio R Paula03/2017
295518^85619-95107476Lelio R Paula04/2017
29563^225248-130107471Lelio R Paula03/2017
2957(5*2^356961+1)/143107455Lelio R Paula03/2014
29582^356935-18085107449Enzo Doria05/2013
295910^107409+37107410Lelio R Paula02/2017
296010^107409-329633107409Patrick De Geest03/2017
29612^356787-109027107404Enzo Doria04/2014
2962(2^356767+78557)/5107397Lelio R Paula12/2013
29633*10^107389+77107390Robert Price09/2018
29645^153622-42107378Lelio R Paula02/2017
29652^356699-97305107378Lelio R Paula03/2017
29662^356654+85107364Lelio R Paula11/2011
29672^356641-19921107360Enzo Doria06/2013
29682^356623-465107355Lelio R Paula03/2017
296919^83945-92107345Lelio R Paula02/2017
297010^107334+28149107335Patrick De Geest03/2017
297110^107334-83107334Lelio R Paula02/2017
29722^356518+885107323Lelio R Paula03/2017
2973(3*2^356506-1)/467107317Lelio R Paula03/2014
29742^356442-114713107300Enzo Doria04/2015
29752^356425+72257107295Enzo Doria04/2016
29762^356351-112237107273Enzo Doria06/2014
2977(6^137845-11)/5107264Paul Bourdelais11/2011
29782^356322+74539107264Enzo Doria04/2016
29792^356274+1874479107250Enzo Doria06/2016
298020^82422-93107234Lelio R Paula02/2017
29812^356157-20365107214Enzo Doria06/2013
29822^356129-18949107206Enzo Doria05/2013
29832^356100-109587107197Enzo Doria04/2014
2984(31*2^355970+1)/5107159Lelio R Paula03/2014
29852^355968-64875107158Lelio R Paula01/2017
29862^355952+1870321107153Enzo Doria05/2016
29872^355915-117107142Lelio R Paula11/2011
2988(16*10^107140+77)/3107141Robert Price03/2019
2989(19*2^355838-1)/15107119Lelio R Paula03/2014
29903^224495-8107112Lelio R Paula12/2013
29917^126691-44107067Lelio R Paula03/2017
29924^177830-8243107065Mike Oakes02/2011
29932^355524-21237107024Enzo Doria06/2013
2994(10223*2^355515+1)/4855107022Lelio R Paula07/2014
29952^355494-19901107015Enzo Doria06/2013
29962^355454-869688105107003Lelio R Paula01/2017
29972^355366+54615106976Lelio R Paula01/2017
2998(31*2^355346-1)/1563106969Lelio R Paula03/2014
29992^355275-19861106949Enzo Doria06/2013
3000(9179*2^355234-1)/1915106937Lelio R Paula05/2015


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 18 2019 07:14 (Time in France)

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