PRP Records

Probable Primes Top 10000

(225451 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 ?
2512^1010751-107709304267Enzo Doria03/2014
252(2^1010623-1)/12602017578957977304212Tony Prest / Never Odd Or Even02/2014
2532^1009577+1869587303913Enzo Doria06/2016
2548^336419-7^336419303817Jean-Louis Charton01/2008
2552^1008301+1869377303529Enzo Doria06/2016
256(2^1007838+5)/3303389Serge Batalov08/2015
2572^1005326+383059302634Enzo Doria12/2016
2582^1004929+1877567302514Enzo Doria08/2016
2592^1003494+1874899302082Enzo Doria06/2016
2602^1003046+60529301947Enzo Doria04/2016
2612^1000647+1881353301225Enzo Doria11/2016
2622^1000000+821751301030Tony Prest / Never Odd Or Even10/2015
2632^999646+1874029300924Enzo Doria06/2016
26410^300476+3300477Ed Trice10/2012
26510^300476-530913300476Patrick De Geest03/2016
2662^998053+1879667300444Enzo Doria09/2016
267314738^9+9^314738300337Anatoly F. Selevich02/2011
2687^355039-6^355039300043Jean-Louis Charton05/2011
269numbpart(72526161452)299999Serge Batalov04/2017
2702^996182-114431299881Enzo Doria02/2015
2712^995214-2788361299590Enzo Doria12/2015
2722^994791-114319299462Enzo Doria01/2015
2732^994490-1863791299372Enzo Doria01/2016
2742^993322+1885729299020Enzo Doria03/2017
2752^992711-2788807298836Enzo Doria12/2015
2762^992525-114199298780Enzo Doria12/2014
2772^992329+1884707298721Enzo Doria02/2017
278(2^986191+1)/3296873Vincent Diepeveen06/2008
2792^985217-114553296580Enzo Doria03/2015
2802^984131-1828009296253Enzo Doria01/2015
2812^983620+60451296100Phil Moore03/2008
2822^982721-2683295829Yves Minet02/2016
2832^981298-2788421295401Enzo Doria12/2015
2842^981163-2790967295360Enzo Doria12/2015
2852^979594+1865839294888Enzo Doria02/2016
2862^976760+1885021294035Enzo Doria02/2017
2872^974441+1878407293336Enzo Doria08/2016
2882^974180+1876831293258Enzo Doria07/2016
2892^974170+453319293255Enzo Doria01/2017
2902^972744-114419292826Enzo Doria03/2015
291CopelandErdos(292447)292447Mark Rodenkirch12/2015
2922^970911+1873373292274Enzo Doria07/2016
2932^970670+383059292201Enzo Doria12/2016
2942^970141-100363292042Enzo Doria02/2014
2952^969945+1874717291983Enzo Doria06/2016
2962^969384+1880701291814Enzo Doria10/2016
297(3^611333-2^611333)/(99035947*87109884549431)291659Mike Oakes02/2017
2982^962194+60139289650Enzo Doria02/2016
2992^959307-1861507288781Enzo Doria11/2015
3002^957372+283531288198Enzo Doria02/2017
3012^957192-1864049288144Enzo Doria01/2016
3022^956446+1875199287919Enzo Doria06/2016
303(17^233689+1)/18287542Paul Bourdelais09/2013
3042^955178+1883587287538Enzo Doria12/2016
3052^954001+1875257287183Enzo Doria07/2016
306(23891^65536+1)/2286932Serge Batalov03/2018
3072^952268+1878601286662Enzo Doria09/2016
3082^950801+81557286220Enzo Doria08/2016
309(11*2^948635-13)/15285568Renaud Lifchitz11/2011
3102^948510+782569285530Enzo Doria10/2016
3112^948374-114137285490Enzo Doria01/2015
3122^947739+1872923285298Enzo Doria06/2016
3132^942533+82067283731Enzo Doria09/2016
3142^940950+1874989283255Enzo Doria06/2016
3152^940426-2786141283097Enzo Doria11/2015
3162^939881-114115282933Enzo Doria12/2014
31710^282493+632551282494Patrick De Geest02/2017
31910^282493-9^282493282493Jean-Louis Charton03/2007
31810^282493-132327282493Patrick De Geest02/2017
3203^591827-2^591827282374Mike Oakes08/2009
321Tau(509^18946)282048Nik Lygeros / Olivier Rozier05/2015
3222^936716-1835519281980Enzo Doria04/2015
3232^936588+79411281942Enzo Doria06/2016
3242^936047+1877423281779Enzo Doria08/2016
3252^935713+1869377281678Enzo Doria05/2016
3262^933082+1877059280886Enzo Doria08/2016
327(5*10^280710+1)/3280711Serge Batalov10/2014
328(10^279978+11)/3279978Serge Batalov07/2015
3292^929524-1864829279815Enzo Doria01/2016
3302^929152+60181279703Enzo Doria02/2016
3312^928621-2787883279543Enzo Doria11/2015
332(2^927763+lucasV(-1,2,927763)+1)/2279285Mike Oakes04/2017
3332^927429+1882277279184Enzo Doria12/2016
334(2^925391+lucasV(-1,2,925391)+1)/2278571Mike Oakes03/2017
3352^925330-1301278553Yves Minet06/2015
336(21^210599+1)/22278457Paul Bourdelais08/2013
3372^923261-69175277930Enzo Doria11/2015
338757^96487-756^96487277796Jean-Louis Charton12/2012
339((((((((((((((291487327^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2277369Serge Batalov07/2016
340(5^396413-1)/4277081Paul Bourdelais06/2010
3412^920318+2792299277044Enzo Doria02/2016
3422^918596-2786939276525Enzo Doria11/2015
3432^916639+60563275936Enzo Doria04/2016
3442^916385-2786383275860Enzo Doria11/2015
3452^915928+82081275722Enzo Doria09/2016
3462^915576-114137275616Enzo Doria01/2015
3472^914828+1876741275391Enzo Doria07/2016
3482^914757-2203275370Yves Minet12/2015
3492^911900+1871245274510Enzo Doria05/2016
3502^910490+283429274085Enzo Doria01/2017
3512^909988-1862249273934Enzo Doria12/2015
3522^909297+1879157273726Enzo Doria08/2016
3532^909257-1864423273714Enzo Doria01/2016
3542^908579-1861747273510Enzo Doria12/2015
3552^907635-2791597273226Enzo Doria01/2016
3562^906594-113201272912Enzo Doria08/2014
3572^904773+1872167272364Enzo Doria06/2016
3582^904149-1862473272176Enzo Doria12/2015
359(7*10^271757-61)/9271757Erik Branger03/2012
3602^902497+1880117271679Enzo Doria09/2016
3612^901858+77689271487Enzo Doria06/2016
3622^901372+1875301271341Enzo Doria06/2016
3632^899121-115033270663Enzo Doria07/2015
3642^898900+883021270596Enzo Doria12/2016
3652^898762-251511270555Enzo Doria12/2013
3662^898589+47270503Lelio R Paula03/2016
367187322*10^270343-187321270349Danilo Nitsche09/2013
36848358*10^270343-48357270348Danilo Nitsche09/2013
369(10^270343-1)/9270343Maksym Voznyy07/2007
3702^897867-3217270285Yves Minet12/2016
3712^897849-115273270280Enzo Doria07/2015
3722^896616-114179269909Enzo Doria12/2014
3732^894928+583561269401Enzo Doria04/2017
3742^894673-39343269324Enzo Doria08/2015
375F(1285607)268676Henri Lifchitz11/2008
3762^892112+187663268553Enzo Doria08/2016
377(10^268207+1)/11268206Paul Bourdelais02/2010
3782^890957-69583268205Enzo Doria12/2015
37932841!^2+32840!^2+...+2!^2+1!^2268128Serge Batalov07/2017
3802^890122-351401267954Enzo Doria07/2015
381(19^209359-1)/18267718Paul Bourdelais08/2010
3822^886324+77791266811Enzo Doria06/2016
3832^884714+1880527266326Enzo Doria10/2016
38411^255426+255426^11265999Serge Batalov05/2014
3852^883462-343421265949Enzo Doria07/2015
3862^883442+1875019265943Enzo Doria06/2016
3872^883333-291583265910Enzo Doria07/2015
3882^880411+1882673265031Enzo Doria12/2016
3892^879530-2788031264765Enzo Doria12/2015
3902^878118+2793079264340Enzo Doria02/2016
3912^875748-461129263627Enzo Doria07/2015
3922^875181-2789923263456Enzo Doria12/2015
3932^875101-350083263432Enzo Doria08/2015
3942^874684+1883587263307Enzo Doria01/2017
3952^874616+1872211263286Enzo Doria05/2016
3962^874073+2792957263123Enzo Doria02/2016
3972^873628+1878751262989Enzo Doria08/2016
3982^873288-269262886Yves Minet01/2015
3992^871146-3173262242Yves Minet07/2016
4002^869601-163261776Yves Minet01/2015
4012^869326+282859261694Enzo Doria11/2016
4022^869035-114181261606Enzo Doria12/2014
4032^865715+80303260607Enzo Doria07/2016
4042^865048+1882411260406Enzo Doria12/2016
4052^864899-113871260361Enzo Doria10/2014
406(7*10^260198-61)/9260198Erik Branger11/2011
4072^864298-2788421260180Enzo Doria12/2015
4082^864039-2791357260102Enzo Doria01/2016
4092^863621-113833259976Enzo Doria10/2014
4102^862837+75767259740Enzo Doria05/2016
4112^862088+1874941259515Enzo Doria06/2016
4122^861987-134557259484Hans Havermann10/2018
4132^861516-1854029259343Enzo Doria09/2015
4142^860975-1853977259180Enzo Doria09/2015
4152^860625-1858843259074Enzo Doria10/2015
4162^860110+77689258919Enzo Doria05/2016
4172^859600+1880371258766Enzo Doria10/2016
4182^859433+494711258716Makoto Morimoto10/2013
419(2^859433+39899)/(73*3907*46301)258705Makoto Morimoto10/2016
4202^859240+1875271258658Enzo Doria06/2016
421Tau(971^15738)258571Nik Lygeros / Olivier Rozier05/2015
422(11*2^857159-13)/15258031Renaud Lifchitz08/2011
4232^857016-633113257988Enzo Doria12/2013
4242^855732-113969257602Enzo Doria10/2014
4252^853682-3911256984Enzo Doria05/2014
42611^246668-90256879Enzo Doria12/2012
4272^851904-113939256449Enzo Doria10/2014
42811^246167-90256357Enzo Doria12/2012
4292^850700-569049256087Enzo Doria11/2013
43021^193601-20^193601255983Jean-Louis Charton02/2015
4312^849177-114025255628Enzo Doria12/2014
4322^848502-3173255425Yves Minet07/2016
4332^848178-140291255328Enzo Doria01/2014
4342^847622-2441255160Yves Minet02/2016
4352^847291+182843255061Enzo Doria11/2016
4362^847174+1879429255025Enzo Doria09/2016
43724*29^174239+13361254809Curtis Bright04/2015
4382^845610-1868591254554Enzo Doria04/2016
4392^845484+81931254517Enzo Doria08/2016
4402^845402-114761254492Enzo Doria05/2015
4412^844334-2792441254170Enzo Doria02/2016
44211^243796-90253888Enzo Doria12/2012
44330^171733-29^171733253671Jean-Louis Charton10/2018
4442^842209+1876037253531Enzo Doria07/2016
4452^842123-59197253505Enzo Doria10/2015
4462^840716-2969253081Yves Minet05/2016
4472^840358-462491252973Enzo Doria08/2015
4482^840310+1878379252959Enzo Doria08/2016
44911^242579-60252620Enzo Doria10/2012
45045^152659+2252378Robert Price09/2015
4512^837725+1869377252181Enzo Doria05/2016
4522^837536-311039252124Enzo Doria06/2015
45321^190632-2252058Robert Price07/2015
4542^837242+1873297252035Enzo Doria06/2016
4552^836656-2787929251859Enzo Doria11/2015
4562^836380+1875541251776Enzo Doria07/2016
457(359^98327-1)/358251233Alexander Zhirkov11/2017
458tau(41^28288)250924Nik Lygeros / Olivier Rozier10/2013
4592^832511-461197250611Enzo Doria07/2015
4602^832505+1881137250609Enzo Doria11/2016
4612^832363+583295250567Enzo Doria12/2016
4622^832244-403635250531Enzo Doria01/2014
4632^831157+1880657250204Enzo Doria11/2016
4642^831088-7200899250183Enzo Doria01/2015
4652^830956-1349250143Yves Minet07/2015
4662^830037+282317249867Enzo Doria09/2016
4672^829589-113653249732Enzo Doria09/2014
4682^828281-3193249338Yves Minet08/2016
4692^828064-2785619249273Enzo Doria10/2015
4702^827602+60409249134Enzo Doria03/2016
47110^249010+348861249011Patrick De Geest04/2016
47210^249010-21249010Serge Batalov12/2014
4732^826733+1882907248872Enzo Doria12/2016
4742^825682+1876549248556Enzo Doria07/2016
4752^824991-114121248348Enzo Doria12/2014
4762^824642-362727248242Enzo Doria12/2013
4772^824565-114265248219Enzo Doria01/2015
478(73*10^248145-1)/9248146Robert Price01/2015
479(2^823337+1)/(3*362268281)247841Gord Palameta08/2018
480(2^822971-1)/6583769/28211445881/21255852651726486149207247700Robert Kinser09/2016
4812^822296+76501247536Enzo Doria05/2016
4822^821590-114167247324Enzo Doria12/2014
4832^821512-2790659247300Enzo Doria12/2015
4842^820077+382847246868Enzo Doria11/2016
4852^820001+81269246845Enzo Doria07/2016
4862^819463-59197246683Enzo Doria10/2015
4872^819296+80581246633Enzo Doria07/2016
4882^817160-350369245990Enzo Doria06/2015
48988093#+(653879#)/(88093#)245374Makoto Morimoto11/2017
4902^815111-113857245373Enzo Doria10/2014
4912^814914-4001245314Yves Minet05/2017
492846^83761-845^83761245200Jean-Louis Charton12/2012
4932^814356-2790449245146Enzo Doria12/2015
4942^814276-459029245122Enzo Doria04/2015
4952^814023+180923245046Enzo Doria07/2016
496(3^513059-2^513059)/(1026119*5430216457)244776Mike Oakes03/2017
4972^811842-113675244389Enzo Doria09/2014
4982^811132-2787929244176Enzo Doria11/2015
4992^809746-2790971243758Enzo Doria01/2016
5002^808767-3295243464Yves Minet12/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: October, 20 2018 23:15 (Time in France)

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