PRP Records

Probable Primes Top 10000

(202632 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 ?
22512^370643-37111575Yves Minet01/2012
22522^370610-3911111565Yves Minet04/2017
2253286^45405+45405^286111532Norbert Schneider04/2015
22544*5^159563-9111531Lelio R Paula11/2014
22552^370393-2797093111500Enzo Doria03/2016
2256(21*2^370382-1)/629111495Lelio R Paula03/2014
22572^370292-2791979111469Enzo Doria03/2016
22582^370177-461551111435Enzo Doria07/2015
2259109^54683-108111413Norbert Schneider02/2017
2260numbpart(10^10+76282)111391Serge Batalov04/2015
22612^369974+733111374Lelio R Paula05/2013
22622^369915-286267111356Enzo Doria07/2015
22632^369855-1615111338Lelio R Paula05/2017
22647*10^111325+3111326Robert Price08/2015
226551^65176+2111293Lelio R Paula08/2013
22662^369643-1865767111274Enzo Doria03/2016
22672^369603+885111262Lelio R Paula05/2017
2268L(532277)111240Renaud Lifchitz03/2004
2269105^55033-2111233Lelio R Paula10/2017
22702^369392+29835111199Lelio R Paula05/2017
22712^369354-3413111187Yves Minet12/2016
22722^369296-27111170Lelio R Paula02/2013
22732^369239-109837111153Enzo Doria05/2014
22742^369224-291839111148Enzo Doria07/2015
22752^369216+2798881111146Enzo Doria04/2016
227610^111111+163849111112Patrick De Geest03/2017
227710^111111-312911111111Patrick De Geest03/2017
22782^369092-216923111108Enzo Doria05/2014
22792^369081-55111105Lelio R Paula02/2013
228088^57124-87111077Norbert Schneider11/2015
22812^368980+753111075Lelio R Paula05/2013
22822^368946-3623111064Yves Minet03/2017
22832^368929+29835111059Lelio R Paula05/2017
22844^184463-3^184463111058Jean-Louis Charton12/2004
2285111^54298+110111057Norbert Schneider04/2017
2286(4*10^111032-7)/3111033Ray Chandler04/2011
22872^368641-460303110972Enzo Doria06/2015
22882^368619-109087110966Enzo Doria04/2014
22893*2^368489+7110927Lelio R Paula09/2014
229097411!4-2110913Robert Price07/2017
2291(9179*2^368330-1)/35110881Lelio R Paula05/2015
2292(34*10^110882-7)/9/13/29/1019374319110871Makoto Morimoto05/2016
22932^368050-64875110795Lelio R Paula05/2017
22942^368048+25110794Lelio R Paula02/2013
229569^60239-2110771Lelio R Paula10/2013
2296(23*2^367952+1)/15717110762Lelio R Paula03/2014
22972^367924-69110757Lelio R Paula02/2013
22982^367709-109723110692Enzo Doria04/2014
2299(3*2^367644-1)/107110671Lelio R Paula03/2014
2300(23*2^367398+1)/57963110595Lelio R Paula03/2014
23012^367215+1879223110543Enzo Doria09/2016
23022^367141+41110521Lelio R Paula02/2013
23032^367126+29835110516Lelio R Paula05/2017
2304(31*2^366976+1)/7110472Lelio R Paula03/2014
23052^366853+5711110434Lelio R Paula05/2017
2306(21181*2^366833+1)/3110432Lelio R Paula07/2014
23072^366816+315110423Lelio R Paula05/2017
23082^366775-2787037110411Enzo Doria03/2016
2309(112*10^110405-1)/3110407Serge Batalov12/2014
23102^366751+2797553110404Enzo Doria03/2016
23112^366748+255110403Lelio R Paula05/2017
23122^366738-2985110400Yves Minet09/2014
2313(23*2^366739+1)/74575110396Lelio R Paula03/2014
23142^366716+1871791110393Enzo Doria05/2016
23152^366649+1871687110373Enzo Doria05/2016
23162^366629-351205110367Enzo Doria06/2015
23172^366558+1874479110345Enzo Doria06/2016
231818^87853-4409110280Enzo Doria03/2013
23192^366218-23110243Lelio R Paula02/2013
2320(21*2^366193-1)/197110235Lelio R Paula03/2014
23212^366178-343991110231Enzo Doria07/2015
23222^365944+1871341110161Enzo Doria05/2016
23232^365838-461267110129Enzo Doria07/2015
23242^365763-6555110106Lelio R Paula04/2017
2325(2^365689+2^182845+1)/511008311/2006
23262^365666-459161110077Enzo Doria05/2015
23273*10^110076-7110077Robert Price08/2015
232813^98785-72110041Lelio R Paula03/2017
2329(25^78707+1)/26110027Robert Price06/2013
2330(7*10^110006-151)/9110006Robert Price02/2018
23316^141361-7110001Lelio R Paula11/2014
233220^84536+81109984Lelio R Paula03/2017
23335*2^365347-9109982Lelio R Paula09/2014
23349*6^141303+7109957Lelio R Paula11/2014
233578^58099+77109929Norbert Schneider02/2015
23362*10^109928-7109929Robert Price10/2015
2337(27*2^365137-1)/2021109916Lelio R Paula03/2014
2338(4441*29^75152-24)/7109905Curtis Bright05/2015
2339(2^365087+7)/6015109899Lelio R Paula01/2014
234018^87533-11109878Lelio R Paula04/2017
23412^364982-5109871Henri Lifchitz04/2006
23422^364936-1867979109857Enzo Doria04/2016
23432^364867-112087109836Enzo Doria06/2014
23444^182415-85061109825Mike Oakes06/2011
2345(17^89227+16^89227)/33109788Robert Price08/2013
23462^364687-187109782Lelio R Paula01/2012
23472^364644+67109769Lelio R Paula01/2012
2348(9787*2^364625-1)/24947109763Lelio R Paula05/2015
2349(2^364616+5)/9109760Lelio R Paula01/2014
235012^101694+73109747Lelio R Paula03/2017
235113^98518-66109744Lelio R Paula03/2017
23522^364478-113261109719Enzo Doria07/2014
2353(24737*2^364454+1)/3109716Lelio R Paula07/2014
2354(62*10^109673+1)/9109674Serge Batalov11/2010
23553^229824+340109654Lelio R Paula03/2017
2356(2*10^109645-71)/3109645Robert Price12/2017
23572^364169-112813109626Enzo Doria06/2014
235810^109615+21109616Lelio R Paula03/2017
235910^109615-456267109615Patrick De Geest03/2017
23602^364094-113109604Lelio R Paula01/2012
2361(4^182026+11)/3109591Robert Price02/2017
23622^364041-6883109588Lelio R Paula09/2011
236312^101545+11109586Lelio R Paula03/2017
23642^363842-2787101109528Enzo Doria03/2016
2365(22699*2^363782+1)/763109511Lelio R Paula07/2014
23662^363769+5711109506Lelio R Paula04/2017
2367(31*2^363748+1)/49109499Lelio R Paula03/2014
2368p(22245)#/2-8109462Robert Price01/2017
23692^363556+55109442Lelio R Paula01/2012
2370(55459*2^363411+1)/81109401Lelio R Paula07/2014
23712^363406+1871569109397Enzo Doria05/2016
2372(2^363349+7)/9109378Lelio R Paula01/2014
23733^229236+100109374Lelio R Paula03/2017
23742^363268-58695109355Lelio R Paula04/2017
23752^363191-112321109332Enzo Doria06/2014
23762^363120+3109311Donovan Johnson04/2006
2377(10^109297-1)/9109297Paul Bourdelais, Harvey Dubner04/2007
23782^363042-114641109287Enzo Doria04/2015
23792^363020-112793109280Enzo Doria06/2014
2380(67607*2^362695+1)/70499109183Lelio R Paula07/2014
2381(9*2^362644+1)/5109167Lelio R Paula03/2014
23825^156181+38109166Lelio R Paula02/2017
23833^228750+68109142Lelio R Paula03/2017
2384(10223*2^362376+1)/9109090Lelio R Paula07/2014
238565^60167-64^60167109078Robert Price08/2013
23867*3^228589-2109066Lelio R Paula09/2014
2387(78557*2^362188+1)/189109033Lelio R Paula07/2014
23882*7^129008+9109025Lelio R Paula11/2014
23892^361957+76367108960Enzo Doria05/2016
23902^361873-1411108935Yves Minet01/2013
2391(24737*2^361857+1)/35108933Lelio R Paula07/2014
239213^97745-24108883Lelio R Paula03/2017
239317^88475+8108864Lelio R Paula04/2017
23942^361567+51108843Lelio R Paula01/2012
23952^361563-109501108842Enzo Doria04/2014
239612^100852+83108838Lelio R Paula03/2017
23972^361497+767108822Lelio R Paula01/2012
23982^361280-112349108757Enzo Doria06/2014
23992^361271-5955108754Lelio R Paula04/2017
240012^100757+19108736Lelio R Paula03/2017
240114^94849-61108710Lelio R Paula05/2017
2402(19^85009-5^85009)/14108705Robert Price07/2013
2403(11*2^361027+1)/40463108677Lelio R Paula03/2014
24042^360973+1299108664Lelio R Paula04/2017
24052^360959-109101108660Enzo Doria04/2014
24066*5^155454+7108659Lelio R Paula11/2014
240710^108656+79108657Lelio R Paula02/2017
240810^108656-50001108656Patrick De Geest03/2017
24092^360918-35108648Lelio R Paula01/2012
2410(11*2^360886-1)/7108638Lelio R Paula03/2014
24112^360706-458903108584Enzo Doria04/2015
24122^360641-113185108564Enzo Doria07/2014
24132^360618+75019108557Enzo Doria04/2016
24143*5^155286+2108541Lelio R Paula11/2014
24157^128422+4108530Lelio R Paula11/2014
24167^128421-80108529Lelio R Paula03/2017
24172^360497+53807108521Yves Minet07/2010
24182^360366+1459108481Lelio R Paula09/2011
24192^360364-1499108481Yves Minet05/2013
242014^94642-23108472Lelio R Paula05/2017
24214*10^108412+9108413Robert Price05/2015
24222^360093-351103108399Enzo Doria06/2015
24232^360042+723108384Lelio R Paula01/2012
242485^56164-2108364Lelio R Paula10/2013
24252^359937-29323108352Enzo Doria07/2015
24262^359898-19997108341Enzo Doria06/2013
24272*5^154948-7108305Lelio R Paula11/2014
242810^108303+13108304Lelio R Paula02/2017
242910^108303-207959108303Patrick De Geest03/2017
24302^359730+753108290Lelio R Paula12/2011
24312^359650-19797108266Enzo Doria06/2013
243291^55259-90^55259108255Robert Price07/2015
24333^226845+68108233Lelio R Paula03/2017
24345^154822-12866108216Enzo Doria05/2014
2435(9*2^359480+1)/5108215Lelio R Paula03/2014
24362^359454-177108207Lelio R Paula12/2011
24376^139022-59108181Lelio R Paula02/2017
24382^359352-179108176Lelio R Paula12/2011
24392^359338-1858781108172Enzo Doria04/2016
244012^100230-97108167Lelio R Paula03/2017
2441(25*2^359297-1)/137108159Lelio R Paula03/2014
2442(2^359262-509203)/9108148Lelio R Paula12/2013
2443(3^226648-8)/352715633108131Lelio R Paula12/2013
24446^138956-59108129Lelio R Paula02/2017
24452^359184+30285108126Lelio R Paula04/2017
244613^97059+10108119Lelio R Paula03/2017
24472^359137-81108112Lelio R Paula12/2011
2449(15185*2^359105-1)/567108103Lelio R Paula05/2015
24482^359110-11655108103Lelio R Paula04/2017
24508*6^138875+5108067Lelio R Paula11/2014
24512^358987-216919108066Enzo Doria05/2014
245239^67918-67918^39108062Norbert Schneider02/2017
24532^358785-16933108006Enzo Doria05/2013
2454(2^358783+5)/33383108000Lelio R Paula12/2013
24556^138770-77107985Lelio R Paula02/2017
2456(2^358727-1017)/94178479107980Lelio R Paula12/2013
245710^107976+19107977Lelio R Paula02/2017
245810^107976-202103107976Patrick De Geest03/2017
24592^358684+75781107975Enzo Doria04/2016
246099^54094+2107952Lelio R Paula06/2013
2461(2^358583-9)/391107942Lelio R Paula12/2013
24622^358538+55107931Lelio R Paula12/2011
24632^358517-109009107925Enzo Doria03/2014
24643^226159+104107906Lelio R Paula03/2017
24652^358310-11655107863Lelio R Paula03/2017
24662^358275-112987107852Enzo Doria07/2014
24672^358233-20005107839Enzo Doria06/2013
24682^358194+175107828Lelio R Paula12/2011
2469107^53125-106107812Norbert Schneider12/2016
24703^225922-2107793Lelio R Paula10/2013
247112^99874-95107783Lelio R Paula03/2017
24722^358030-171107778Lelio R Paula12/2011
247311^103488-4170107772Enzo Doria12/2012
24742^357911-20089107742Enzo Doria06/2013
24752^357885+12857107735Yves Minet07/2010
24767^127473+40107728Lelio R Paula03/2017
24775*2^357850+9107725Lelio R Paula09/2014
24782^357786-291191107705Enzo Doria06/2015
247918^85798-23107700Lelio R Paula04/2017
24802^357688-1854269107675Enzo Doria09/2015
24812^357671-112225107670Enzo Doria06/2014
24822^357618-21005107654Enzo Doria06/2013
24832^357615-17505107653Enzo Doria05/2013
2484(30^72871-1)/29107638Robert Price12/2011
24852^357521+1870217107625Enzo Doria05/2016
24862^357477-1203107612Lelio R Paula03/2017
24875^153894-18107568Lelio R Paula02/2017
24882^357324-69059107566Enzo Doria11/2015
24892^357283-869688105107553Lelio R Paula01/2017
24902^357280-16805107552Enzo Doria05/2013
249110^107547+481719107548Patrick De Geest03/2017
249210^107547-47107547Lelio R Paula02/2017
249317^87396-32107537Lelio R Paula04/2017
24942^357081+107107493Lelio R Paula12/2011
24952^357058-3911107486Yves Minet04/2017
24963^225274+64107484Lelio R Paula03/2017
249718^85619-95107476Lelio R Paula04/2017
24983^225248-130107471Lelio R Paula03/2017
2499(5*2^356961+1)/143107455Lelio R Paula03/2014
25002^356935-18085107449Enzo Doria05/2013


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: February, 20 2018 10:36 (Time in France)

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