PRP Records

Probable Primes Top 10000

(191107 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 ?
12512^499534-221150375Yves Minet06/2012
12522^499225+49727150282Enzo Doria09/2016
12532^499054-29261150231Enzo Doria07/2015
1254(2^498898-7)/9150183Lelio R Paula10/2015
12552^498623+1866983150101Enzo Doria03/2016
1256numbpart(18140942830)150033Serge Batalov04/2017
125710^150029+4381150030Patrick De Geest05/2016
125810^150029-41150029Serge Batalov12/2014
12592^497850+81049149868Enzo Doria07/2016
1260(5*2^497673+1)/2743149812Lelio R Paula10/2015
1261(5*2^497671+1)/373703149810Lelio R Paula10/2015
12622^497434-2784191149743Enzo Doria10/2015
12632^497068-113579149633Enzo Doria08/2014
12642^497037+73727149624Enzo Doria04/2016
12652^496773+77747149544Enzo Doria05/2016
12662^496477-113485149455Enzo Doria08/2014
12672^496270-49451149393Enzo Doria10/2015
12682^496238-1865081149383Enzo Doria01/2016
12692^495968-1853699149302Enzo Doria09/2015
12702^495712-396765149225Enzo Doria07/2013
1271(21*2^495676-1)/4835149211Lelio R Paula10/2015
12722^495420+1880701149137Enzo Doria10/2016
12732^495337-1847293149112Enzo Doria07/2015
1274(2^495193-7)/5149068Lelio R Paula10/2015
1275413^56963-412^56963149013Jean-Louis Charton08/2012
127647^89113-46^89113149006Robert Price10/2012
12772^494916+87855148985Lelio R Paula01/2016
12782^494586-2791991148886Enzo Doria02/2016
12798*10^148860-3148861Ray Chandler04/2011
12802^494333-286183148810Enzo Doria06/2015
12812^494144-264119148753Enzo Doria05/2014
1282(5*2^493838-1)/3721148658Lelio R Paula10/2015
1283(23*2^493761-1)/555148636Lelio R Paula10/2015
12842^493636+82081148600Enzo Doria09/2016
1285((((((((((((((34251^2-2)^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)^2-2148593Serge Batalov07/2016
1286177487#+(519643#)/(177487#)148558Makoto Morimoto11/2017
1287(8*10^148328+1)/9148328Serge Batalov05/2010
12885^211959-12874148153Enzo Doria05/2014
1289187^65175-2148068Lelio R Paula11/2017
12902^491851+1871453148062Enzo Doria05/2016
12912^491521-1865323147963Enzo Doria02/2016
1292(2^491476+7)/71147948Lelio R Paula10/2015
12932^491391-7807147924Lelio R Paula01/2013
12942^491370-113297147918Enzo Doria07/2014
1295(32760^32760+32759^32759)/95546586737133567708319147900Robert Price07/2016
12962^490550+1179439147671Enzo Doria06/2016
12972^490303+2793653147596Enzo Doria03/2016
1298199^64181-2147543Lelio R Paula11/2017
12992^489871-286987147466Enzo Doria07/2015
13002^489864-351899147464Enzo Doria07/2015
1301175^65724-2147422Lelio R Paula11/2017
13022^489712+1874851147419Enzo Doria06/2016
130363^81896-2147359Lelio R Paula10/2017
13042^489305-59815147296Enzo Doria10/2015
1305(2^489280-7)/6381147285Lelio R Paula09/2015
13062^489125+80357147242Enzo Doria06/2016
13072^488648-112799147098Enzo Doria07/2014
13082^488627-350317147092Enzo Doria06/2015
1309(2^488441-1)/(61543567*30051203516986199)147012Dario Alpern12/2014
13102^488280-2165146987Yves Minet07/2014
13112^487726-1863341146821Enzo Doria12/2015
13122^487121-39523146639Enzo Doria09/2015
1313(7*2^486967+1)/39146591Lelio R Paula09/2015
13142^486893-79146570Yves Minet09/2017
13152^486840+1879141146554Enzo Doria08/2016
131696^73877-95^73877146445Robert Price10/2015
1317(52^85259+1)/53146304Paul Bourdelais09/2017
1318179^64935+2146290Lelio R Paula10/2017
13192^485531-114621146160Enzo Doria05/2015
1320(2^485461-9)/4249146135Lelio R Paula09/2015
13212^485389+81887146117Enzo Doria08/2016
1322(10^146063+71)/9146063Serge Batalov07/2015
1323(2^485119+7)/2745146032Lelio R Paula09/2015
13242^484743+1872923145923Enzo Doria05/2016
13252^484341+1879157145802Enzo Doria08/2016
132670^78989-69^78989145743Robert Price01/2014
132751^85334+2145714Robert Price07/2015
13282^483886-1857101145665Enzo Doria10/2015
13292^483563-1863457145567Enzo Doria12/2015
13302^483516-1861409145553Enzo Doria11/2015
13312^483384-115019145514Enzo Doria06/2015
13322^483302-3221145489Lelio R Paula12/2012
13332^483046+1874029145412Enzo Doria06/2016
13342^482991-2789317145395Enzo Doria12/2015
13352^482978-2789711145391Enzo Doria12/2015
13362^482966-2789711145388Enzo Doria12/2015
13372^482817-1858843145343Enzo Doria10/2015
13382^482751-113635145323Enzo Doria08/2014
13392^482705-459763145309Enzo Doria05/2015
1340(4^241306+11)/3145281Robert Price03/2017
1341(19*2^482534+1)/7145258Lelio R Paula09/2015
134253^84239-52^84239145252Robert Price01/2013
1343(2^482333+5)/9287145193Lelio R Paula09/2015
13442^482087+72623145123Enzo Doria04/2016
13452^482016-286565145102Enzo Doria07/2015
13462^481840+15145049Robert Price09/2015
13472^481801-481801145037Henri Lifchitz03/2005
13482^481775+1869083145029Enzo Doria05/2016
134929^99167+2145022Ray Chandler08/2011
13502^481663+1875653144996Enzo Doria07/2016
13512^481149-459073144841Enzo Doria05/2015
13522^481045-113215144809Enzo Doria07/2014
13532^480859-113695144753Enzo Doria09/2014
13542^480766-2787191144725Enzo Doria11/2015
1355(21*27^101106-151)/26144720Curtis Bright05/2015
13562^480678+1874239144699Enzo Doria06/2016
1357(8*10^144683+1)/9144683Serge Batalov05/2010
1358L(692147)144651Henri Lifchitz10/2008
13592^480417+35144620Robert Price11/2015
13602^480296-59879144584Enzo Doria10/2015
13612^479844+3144448Donovan Johnson06/2006
1362(27*2^479642+1)/733144386Lelio R Paula08/2015
1363(21*2^479605-1)/11144376Lelio R Paula09/2015
13642^479348-2792219144299Enzo Doria02/2016
13653^302389-6242144277Enzo Doria05/2014
13662*10^144220-3144221Robert Price07/2015
13672^478904-109109144165Enzo Doria04/2014
13682^478337-115333143994Enzo Doria07/2015
1369(7*2^478330-1)/3143993Lelio R Paula08/2015
137088^74047-87^74047143984Robert Price05/2015
1371(71^77761+1)/72143954Paul Bourdelais09/2017
13722^478088+27143919Robert Price11/2015
13732^477475-22071143735Enzo Doria07/2013
13742^477417-22123143717Enzo Doria07/2013
13752^477359-3577143700Yves Minet03/2017
13762^476936-396765143573Enzo Doria07/2013
13772^476888-2791229143558Enzo Doria01/2016
13782^476868-1859939143552Enzo Doria11/2015
13792^476558-113627143459Enzo Doria08/2014
13802^476478-45143435Lelio R Paula11/2017
1381(2^475854+9)/73143245Lelio R Paula08/2015
13822^475813-113239143234Enzo Doria07/2014
13832^475624-114059143178Enzo Doria11/2014
1384(11*2^475553-7)/15143156Renaud Lifchitz03/2011
13852^475480-2786129143134Enzo Doria10/2015
13862^475299-111937143080Enzo Doria05/2014
13872^475160-2797859143038Enzo Doria04/2016
1388(2^475069+3)/395143008Lelio R Paula08/2015
13892^475027-461437142998Enzo Doria07/2015
1390(2^474958+78557)/3142977Lelio R Paula07/2015
1391(54^82471-1)/53142871Paul Bourdelais09/2017
1392(11*2^474432-1)/95142818Lelio R Paula09/2015
13932^474417-59923142814Enzo Doria10/2015
1394(3*2^474166+1)/7142738Lelio R Paula08/2015
13952^474053+2897142705Lelio R Paula08/2012
1396(10^142699+359)/9142699Serge Batalov12/2014
1397898^48311-897^48311142676Jean-Louis Charton12/2012
13982^473740-1856639142610Enzo Doria09/2015
13992^473617-114223142573Enzo Doria12/2014
14002^473257+1873217142465Enzo Doria06/2016
1401(19*2^473242+1)/11142461Lelio R Paula09/2015
1402(10^142425+359)/9142425Serge Batalov12/2014
14032^473101+773027142418Enzo Doria05/2016
1404(13*2^472838-1)/3142340Lelio R Paula09/2015
1405(17*2^472789-1)/187347142320Lelio R Paula09/2015
14062^472634-109511142278Enzo Doria04/2014
1407(48^84589+1)/49142213Robert Price01/2014
14082^472258+7142164Lelio R Paula08/2015
1409tau(317^10330)142098Nik Lygeros / Olivier Rozier / LR team10/2013
1410(11*2^471913-1)/21142060Lelio R Paula09/2015
14112^471792+1880881142024Enzo Doria11/2016
1412(31*2^471580-1)/135141960Lelio R Paula08/2015
1413(904*19^110984-1)/3141924Curtis Bright05/2015
14144*5^202913-9141831Lelio R Paula04/2015
14152*7^167812-3141818Lelio R Paula12/2014
14162^471043+35141799Robert Price11/2015
1417(11*2^470956-1)/7945141770Lelio R Paula08/2015
14182^470692+76771141693Enzo Doria05/2016
1419(21*2^470391+1)/533141601Lelio R Paula09/2015
14202^470305-459373141576Enzo Doria05/2015
14212^470183+72623141540Enzo Doria04/2016
14222^470173-16465141537Enzo Doria04/2013
14232^469974-1841141477Enzo Doria05/2014
1424(23*2^469939+1)/25141466Lelio R Paula08/2015
14252^469824+43141432Lelio R Paula09/2017
14262^469630-59711141373Enzo Doria10/2015
1427(2^469564-3)/611141351Lelio R Paula08/2015
1428197^61601+2141342Lelio R Paula08/2017
14292^469372-112949141296Enzo Doria07/2014
1430143^(2^16)+106^(2^16)141253Valeryi Kuryshev02/2011
14312^469198+782569141243Enzo Doria10/2016
14322^469076-2786939141206Enzo Doria11/2015
14332^468804+1874941141125Enzo Doria06/2016
14342^468787+81353141119Enzo Doria08/2016
14352^468595-350407141062Enzo Doria06/2015
14362^468564+87855141052Lelio R Paula01/2016
14372^468551-21987141048Enzo Doria07/2013
14382^468523-7141040Lelio R Paula08/2015
14392^468405+87855141004Lelio R Paula01/2016
14402^467978-113051140876Enzo Doria07/2014
14412^467780-344429140816Enzo Doria07/2015
14422^467605-1855603140764Enzo Doria09/2015
14435*10^140744-7140745Robert Price09/2015
1444(5^201359-1)/4140744Paul Bourdelais12/2008
14452^467401-1850023140702Enzo Doria08/2015
1446(2^467270+78557)/23247140658Lelio R Paula07/2015
1447(29*2^467205+1)/2780517107140635Lelio R Paula08/2015
14482^467166-1854941140631Enzo Doria09/2015
14492^466866-1840571140541Enzo Doria06/2015
14502^466829-459523140530Enzo Doria05/2015
14512^466692-113213140489Enzo Doria07/2014
1452153^64265-2140400Lelio R Paula11/2017
1453(112*10^140357-1)/3140359Serge Batalov12/2014
14542^466181-112735140335Enzo Doria07/2014
1455(27*2^465872+1)/691140241Lelio R Paula08/2015
14562^465803-114817140221Enzo Doria05/2015
1457floor(Pi*10^140344)%10^140165140165Serge Batalov08/2012
14582^465503-112735140131Enzo Doria07/2014
14596^179964+179964^6-1140040Robert Price04/2014
1460(29*2^465077-1)/9140003Lelio R Paula08/2015
14612^465072-344789140001Enzo Doria07/2015
14622^464864-17139939Lelio R Paula09/2017
1463(17^113621+1)/18139804Paul Bourdelais09/2011
1464(19*2^464312-1)/3139773Lelio R Paula08/2015
1465(31*2^463970+1)/5139670Lelio R Paula08/2015
14662^463633-2788423139568Enzo Doria11/2015
14672^463271-109501139459Enzo Doria04/2014
14682^463237-99139449Lelio R Paula09/2017
14692^463019+79463139383Enzo Doria06/2016
14703^292129-112756139381Enzo Doria07/2014
1471(15*2^462951+1)/527139361Lelio R Paula08/2015
14722^462855-1865707139334Enzo Doria02/2016
14732^462786-292043139313Enzo Doria08/2015
1474(26*10^139289+1)/9139290Serge Batalov05/2010
14752^462238-935139148Yves Minet02/2014
14762^461228+1870441138844Enzo Doria05/2016
14772^461204-113675138837Enzo Doria08/2014
1478(2^461139-7)/47138815Lelio R Paula08/2015
1479(17*2^460963+1)/124051613138757Lelio R Paula08/2015
14802^460567-113541138645Enzo Doria08/2014
14817*10^138604+3138605Robert Price08/2015
14822^460330+69138574Lelio R Paula09/2017
14832^460078-69581138498Enzo Doria12/2015
14842^459768+1531138404Lelio R Paula06/2012
14852^459343-113611138277Enzo Doria08/2014
14862^459199+1874393138233Enzo Doria06/2016
14872^459063-345307138192Enzo Doria06/2015
14882^458927-112747138151Enzo Doria06/2014
14892^458927-69217138151Enzo Doria11/2015
1490555555*2^458524+1513138036Darren Bedwell08/2009
14912^458465+2^32+1138012T. D. Noe06/2007
14922^458321-113053137969Enzo Doria07/2014
14932^458298+79459137962Enzo Doria06/2016
14942^458248-21815137947Enzo Doria07/2013
14952^458194+1876549137931Enzo Doria07/2016
1496(318259#+325270)/(2^2*5*11*2957)137907Makoto Morimoto10/2017
14972^457937+57137853Lelio R Paula09/2017
14982^457822+105137819Donovan Johnson06/2006
14992^457754-113711137798Enzo Doria09/2014
150011^132315-360137792Enzo Doria09/2012


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: November, 22 2017 23:29 (Time in France)

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