PRP Records

Probable Primes Top 10000

(212140 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 ?
2512^1003046+60529301947Enzo Doria04/2016
2522^1000647+1881353301225Enzo Doria11/2016
2532^1000000+821751301030Tony Prest / Never Odd Or Even10/2015
2542^999646+1874029300924Enzo Doria06/2016
25510^300476+3300477Ed Trice10/2012
25610^300476-530913300476Patrick De Geest03/2016
2572^998053+1879667300444Enzo Doria09/2016
258314738^9+9^314738300337Anatoly F. Selevich02/2011
2597^355039-6^355039300043Jean-Louis Charton05/2011
260numbpart(72526161452)299999Serge Batalov04/2017
2612^996182-114431299881Enzo Doria02/2015
2622^995214-2788361299590Enzo Doria12/2015
2632^994791-114319299462Enzo Doria01/2015
2642^994490-1863791299372Enzo Doria01/2016
2652^993322+1885729299020Enzo Doria03/2017
2662^992711-2788807298836Enzo Doria12/2015
2672^992525-114199298780Enzo Doria12/2014
2682^992329+1884707298721Enzo Doria02/2017
269(2^986191+1)/3296873Vincent Diepeveen06/2008
2702^985217-114553296580Enzo Doria03/2015
2712^984131-1828009296253Enzo Doria01/2015
2722^983620+60451296100Phil Moore03/2008
2732^982721-2683295829Yves Minet02/2016
2742^981298-2788421295401Enzo Doria12/2015
2752^981163-2790967295360Enzo Doria12/2015
2762^979594+1865839294888Enzo Doria02/2016
2772^976760+1885021294035Enzo Doria02/2017
2782^974441+1878407293336Enzo Doria08/2016
2792^974180+1876831293258Enzo Doria07/2016
2802^974170+453319293255Enzo Doria01/2017
2812^972744-114419292826Enzo Doria03/2015
282CopelandErdos(292447)292447Mark Rodenkirch12/2015
2832^970911+1873373292274Enzo Doria07/2016
2842^970670+383059292201Enzo Doria12/2016
2852^970141-100363292042Enzo Doria02/2014
2862^969945+1874717291983Enzo Doria06/2016
2872^969384+1880701291814Enzo Doria10/2016
288(3^611333-2^611333)/(99035947*87109884549431)291659Mike Oakes02/2017
2892^962194+60139289650Enzo Doria02/2016
2902^959307-1861507288781Enzo Doria11/2015
2912^957372+283531288198Enzo Doria02/2017
2922^957192-1864049288144Enzo Doria01/2016
2932^956446+1875199287919Enzo Doria06/2016
294(17^233689+1)/18287542Paul Bourdelais09/2013
2952^955178+1883587287538Enzo Doria12/2016
2962^954001+1875257287183Enzo Doria07/2016
297(23891^65536+1)/2286932Serge Batalov03/2018
2982^952268+1878601286662Enzo Doria09/2016
2992^950801+81557286220Enzo Doria08/2016
300(11*2^948635-13)/15285568Renaud Lifchitz11/2011
3012^948510+782569285530Enzo Doria10/2016
3022^948374-114137285490Enzo Doria01/2015
3032^947739+1872923285298Enzo Doria06/2016
3042^942533+82067283731Enzo Doria09/2016
3052^940950+1874989283255Enzo Doria06/2016
3062^940426-2786141283097Enzo Doria11/2015
3072^939881-114115282933Enzo Doria12/2014
30810^282493+632551282494Patrick De Geest02/2017
31010^282493-9^282493282493Jean-Louis Charton03/2007
30910^282493-132327282493Patrick De Geest02/2017
3113^591827-2^591827282374Mike Oakes08/2009
312Tau(509^18946)282048Nik Lygeros / Olivier Rozier05/2015
3132^936716-1835519281980Enzo Doria04/2015
3142^936588+79411281942Enzo Doria06/2016
3152^936047+1877423281779Enzo Doria08/2016
3162^935713+1869377281678Enzo Doria05/2016
3172^933082+1877059280886Enzo Doria08/2016
318(5*10^280710+1)/3280711Serge Batalov10/2014
319(10^279978+11)/3279978Serge Batalov07/2015
3202^929524-1864829279815Enzo Doria01/2016
3212^929152+60181279703Enzo Doria02/2016
3222^928621-2787883279543Enzo Doria11/2015
323(2^927763+lucasV(-1,2,927763)+1)/2279285Mike Oakes04/2017
3242^927429+1882277279184Enzo Doria12/2016
325(2^925391+lucasV(-1,2,925391)+1)/2278571Mike Oakes03/2017
3262^925330-1301278553Yves Minet06/2015
327(21^210599+1)/22278457Paul Bourdelais08/2013
3282^923261-69175277930Enzo Doria11/2015
329757^96487-756^96487277796Jean-Louis Charton12/2012
330((((((((((((((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
331(5^396413-1)/4277081Paul Bourdelais06/2010
3322^920318+2792299277044Enzo Doria02/2016
3332^918596-2786939276525Enzo Doria11/2015
3342^916639+60563275936Enzo Doria04/2016
3352^916385-2786383275860Enzo Doria11/2015
3362^915928+82081275722Enzo Doria09/2016
3372^915576-114137275616Enzo Doria01/2015
3382^914828+1876741275391Enzo Doria07/2016
3392^914757-2203275370Yves Minet12/2015
3402^911900+1871245274510Enzo Doria05/2016
3412^910490+283429274085Enzo Doria01/2017
3422^909988-1862249273934Enzo Doria12/2015
3432^909297+1879157273726Enzo Doria08/2016
3442^909257-1864423273714Enzo Doria01/2016
3452^908579-1861747273510Enzo Doria12/2015
3462^907635-2791597273226Enzo Doria01/2016
3472^906594-113201272912Enzo Doria08/2014
3482^904773+1872167272364Enzo Doria06/2016
3492^904149-1862473272176Enzo Doria12/2015
350(7*10^271757-61)/9271757Erik Branger03/2012
3512^902497+1880117271679Enzo Doria09/2016
3522^901858+77689271487Enzo Doria06/2016
3532^901372+1875301271341Enzo Doria06/2016
3542^899121-115033270663Enzo Doria07/2015
3552^898900+883021270596Enzo Doria12/2016
3562^898762-251511270555Enzo Doria12/2013
3572^898589+47270503Lelio R Paula03/2016
358187322*10^270343-187321270349Danilo Nitsche09/2013
35948358*10^270343-48357270348Danilo Nitsche09/2013
360(10^270343-1)/9270343Maksym Voznyy07/2007
3612^897867-3217270285Yves Minet12/2016
3622^897849-115273270280Enzo Doria07/2015
3632^896616-114179269909Enzo Doria12/2014
3642^894928+583561269401Enzo Doria04/2017
3652^894673-39343269324Enzo Doria08/2015
366F(1285607)268676Henri Lifchitz11/2008
3672^892112+187663268553Enzo Doria08/2016
368(10^268207+1)/11268206Paul Bourdelais02/2010
3692^890957-69583268205Enzo Doria12/2015
37032841!^2+32840!^2+...+2!^2+1!^2268128Serge Batalov07/2017
3712^890122-351401267954Enzo Doria07/2015
372(19^209359-1)/18267718Paul Bourdelais08/2010
3732^886324+77791266811Enzo Doria06/2016
3742^884714+1880527266326Enzo Doria10/2016
37511^255426+255426^11265999Serge Batalov05/2014
3762^883462-343421265949Enzo Doria07/2015
3772^883442+1875019265943Enzo Doria06/2016
3782^883333-291583265910Enzo Doria07/2015
3792^880411+1882673265031Enzo Doria12/2016
3802^879530-2788031264765Enzo Doria12/2015
3812^878118+2793079264340Enzo Doria02/2016
3822^875748-461129263627Enzo Doria07/2015
3832^875181-2789923263456Enzo Doria12/2015
3842^875101-350083263432Enzo Doria08/2015
3852^874684+1883587263307Enzo Doria01/2017
3862^874616+1872211263286Enzo Doria05/2016
3872^874073+2792957263123Enzo Doria02/2016
3882^873628+1878751262989Enzo Doria08/2016
3892^873288-269262886Yves Minet01/2015
3902^871146-3173262242Yves Minet07/2016
3912^869601-163261776Yves Minet01/2015
3922^869326+282859261694Enzo Doria11/2016
3932^869035-114181261606Enzo Doria12/2014
3942^865715+80303260607Enzo Doria07/2016
3952^865048+1882411260406Enzo Doria12/2016
3962^864899-113871260361Enzo Doria10/2014
397(7*10^260198-61)/9260198Erik Branger11/2011
3982^864298-2788421260180Enzo Doria12/2015
3992^864039-2791357260102Enzo Doria01/2016
4002^863621-113833259976Enzo Doria10/2014
4012^862837+75767259740Enzo Doria05/2016
4022^862088+1874941259515Enzo Doria06/2016
4032^861516-1854029259343Enzo Doria09/2015
4042^860975-1853977259180Enzo Doria09/2015
4052^860625-1858843259074Enzo Doria10/2015
4062^860110+77689258919Enzo Doria05/2016
4072^859600+1880371258766Enzo Doria10/2016
4082^859433+494711258716Makoto Morimoto10/2013
409(2^859433+39899)/(73*3907*46301)258705Makoto Morimoto10/2016
4102^859240+1875271258658Enzo Doria06/2016
411Tau(971^15738)258571Nik Lygeros / Olivier Rozier05/2015
412(11*2^857159-13)/15258031Renaud Lifchitz08/2011
4132^857016-633113257988Enzo Doria12/2013
4142^855732-113969257602Enzo Doria10/2014
4152^853682-3911256984Enzo Doria05/2014
41611^246668-90256879Enzo Doria12/2012
4172^851904-113939256449Enzo Doria10/2014
41811^246167-90256357Enzo Doria12/2012
4192^850700-569049256087Enzo Doria11/2013
42021^193601-20^193601255983Jean-Louis Charton02/2015
4212^849177-114025255628Enzo Doria12/2014
4222^848502-3173255425Yves Minet07/2016
4232^848178-140291255328Enzo Doria01/2014
4242^847622-2441255160Yves Minet02/2016
4252^847291+182843255061Enzo Doria11/2016
4262^847174+1879429255025Enzo Doria09/2016
42724*29^174239+13361254809Curtis Bright04/2015
4282^845610-1868591254554Enzo Doria04/2016
4292^845484+81931254517Enzo Doria08/2016
4302^845402-114761254492Enzo Doria05/2015
4312^844334-2792441254170Enzo Doria02/2016
43211^243796-90253888Enzo Doria12/2012
4332^842209+1876037253531Enzo Doria07/2016
4342^842123-59197253505Enzo Doria10/2015
4352^840716-2969253081Yves Minet05/2016
4362^840358-462491252973Enzo Doria08/2015
4372^840310+1878379252959Enzo Doria08/2016
43811^242579-60252620Enzo Doria10/2012
43945^152659+2252378Robert Price09/2015
4402^837725+1869377252181Enzo Doria05/2016
4412^837536-311039252124Enzo Doria06/2015
44221^190632-2252058Robert Price07/2015
4432^837242+1873297252035Enzo Doria06/2016
4442^836656-2787929251859Enzo Doria11/2015
4452^836380+1875541251776Enzo Doria07/2016
446(359^98327-1)/358251233Alexander Zhirkov11/2017
447tau(41^28288)250924Nik Lygeros / Olivier Rozier10/2013
4482^832511-461197250611Enzo Doria07/2015
4492^832505+1881137250609Enzo Doria11/2016
4502^832363+583295250567Enzo Doria12/2016
4512^832244-403635250531Enzo Doria01/2014
4522^831157+1880657250204Enzo Doria11/2016
4532^831088-7200899250183Enzo Doria01/2015
4542^830956-1349250143Yves Minet07/2015
4552^830037+282317249867Enzo Doria09/2016
4562^829589-113653249732Enzo Doria09/2014
4572^828281-3193249338Yves Minet08/2016
4582^828064-2785619249273Enzo Doria10/2015
4592^827602+60409249134Enzo Doria03/2016
46010^249010+348861249011Patrick De Geest04/2016
46110^249010-21249010Serge Batalov12/2014
4622^826733+1882907248872Enzo Doria12/2016
4632^825682+1876549248556Enzo Doria07/2016
4642^824991-114121248348Enzo Doria12/2014
4652^824642-362727248242Enzo Doria12/2013
4662^824565-114265248219Enzo Doria01/2015
467(73*10^248145-1)/9248146Robert Price01/2015
468(2^822971-1)/6583769/28211445881/21255852651726486149207247700Robert Kinser09/2016
4692^822296+76501247536Enzo Doria05/2016
4702^821590-114167247324Enzo Doria12/2014
4712^821512-2790659247300Enzo Doria12/2015
4722^820077+382847246868Enzo Doria11/2016
4732^820001+81269246845Enzo Doria07/2016
4742^819463-59197246683Enzo Doria10/2015
4752^819296+80581246633Enzo Doria07/2016
4762^817160-350369245990Enzo Doria06/2015
47788093#+(653879#)/(88093#)245374Makoto Morimoto11/2017
4782^815111-113857245373Enzo Doria10/2014
4792^814914-4001245314Yves Minet05/2017
480846^83761-845^83761245200Jean-Louis Charton12/2012
4812^814356-2790449245146Enzo Doria12/2015
4822^814276-459029245122Enzo Doria04/2015
4832^814023+180923245046Enzo Doria07/2016
484(3^513059-2^513059)/(1026119*5430216457)244776Mike Oakes03/2017
4852^811842-113675244389Enzo Doria09/2014
4862^811132-2787929244176Enzo Doria11/2015
4872^809746-2790971243758Enzo Doria01/2016
4882^808767-3295243464Yves Minet12/2016
4892^808621-113809243420Enzo Doria09/2014
4902^807724+1879621243150Enzo Doria09/2016
4912^805843-113611242583Enzo Doria08/2014
4922^805745-459763242554Enzo Doria05/2015
4932^805353+782687242436Enzo Doria11/2016
4942^804277-417933242112Enzo Doria01/2014
4952^803468-269039241868Enzo Doria10/2013
4962^803172+80851241779Enzo Doria07/2016
4973^506233-2241535Robert Price11/2013
4982^802025-25999241434Enzo Doria10/2013
499(3^505823+3^252912+1)/7241339Serge Batalov03/2014
5002^801303+1872923241217Enzo Doria05/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 20 2018 08:38 (Time in France)

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