PRP Records

Probable Primes Top 10000

(218736 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 ?
15012^481663+1875653144996Enzo Doria07/2016
15022^481149-459073144841Enzo Doria05/2015
15032^481045-113215144809Enzo Doria07/2014
15042^480859-113695144753Enzo Doria09/2014
15052^480766-2787191144725Enzo Doria11/2015
1506(21*27^101106-151)/26144720Curtis Bright05/2015
15072^480678+1874239144699Enzo Doria06/2016
1508(8*10^144683+1)/9144683Serge Batalov05/2010
1509L(692147)144651Henri Lifchitz10/2008
15102^480417+35144620Robert Price11/2015
15112^480296-59879144584Enzo Doria10/2015
15122^479844+3144448Donovan Johnson06/2006
1513(27*2^479642+1)/733144386Lelio R Paula08/2015
1514(21*2^479605-1)/11144376Lelio R Paula09/2015
15152^479348-2792219144299Enzo Doria02/2016
15163^302389-6242144277Enzo Doria05/2014
15172*10^144220-3144221Robert Price07/2015
15182^478904-109109144165Enzo Doria04/2014
15192^478337-115333143994Enzo Doria07/2015
1520(7*2^478330-1)/3143993Lelio R Paula08/2015
152188^74047-87^74047143984Robert Price05/2015
1522(19*10^143963+467)/9143964Robert Price02/2018
1523(71^77761+1)/72143954Paul Bourdelais09/2017
15242^478088+27143919Robert Price11/2015
15252^477475-22071143735Enzo Doria07/2013
15262^477417-22123143717Enzo Doria07/2013
15272^477359-3577143700Yves Minet03/2017
15282^476936-396765143573Enzo Doria07/2013
15292^476888-2791229143558Enzo Doria01/2016
15302^476868-1859939143552Enzo Doria11/2015
15312^476558-113627143459Enzo Doria08/2014
15322^476478-45143435Lelio R Paula11/2017
1533(2^475854+9)/73143245Lelio R Paula08/2015
15342^475813-113239143234Enzo Doria07/2014
15352^475624-114059143178Enzo Doria11/2014
1536(11*2^475553-7)/15143156Renaud Lifchitz03/2011
15372^475480-2786129143134Enzo Doria10/2015
15382^475299-111937143080Enzo Doria05/2014
15392^475160-2797859143038Enzo Doria04/2016
1540(2^475069+3)/395143008Lelio R Paula08/2015
15412^475027-461437142998Enzo Doria07/2015
1542(2^474958+78557)/3142977Lelio R Paula07/2015
1543(8*10^142932+43)/3142933Robert Price06/2018
1544(54^82471-1)/53142871Paul Bourdelais09/2017
1545(11*2^474432-1)/95142818Lelio R Paula09/2015
15462^474417-59923142814Enzo Doria10/2015
1547(3*2^474166+1)/7142738Lelio R Paula08/2015
15482^474053+2897142705Lelio R Paula08/2012
1549(10^142699+359)/9142699Serge Batalov12/2014
1550898^48311-897^48311142676Jean-Louis Charton12/2012
15512^473740-1856639142610Enzo Doria09/2015
15522^473617-114223142573Enzo Doria12/2014
15532^473257+1873217142465Enzo Doria06/2016
1554(19*2^473242+1)/11142461Lelio R Paula09/2015
1555(10^142425+359)/9142425Serge Batalov12/2014
15562^473101+773027142418Enzo Doria05/2016
1557(13*2^472838-1)/3142340Lelio R Paula09/2015
1558(17*2^472789-1)/187347142320Lelio R Paula09/2015
15592^472634-109511142278Enzo Doria04/2014
1560(48^84589+1)/49142213Robert Price01/2014
15612^472258+7142164Lelio R Paula08/2015
1562tau(317^10330)142098Nik Lygeros / Olivier Rozier / LR team10/2013
1563(11*2^471913-1)/21142060Lelio R Paula09/2015
15642^471792+1880881142024Enzo Doria11/2016
1565(31*2^471580-1)/135141960Lelio R Paula08/2015
1566(4*10^141926-79)/3141927Robert Price02/2018
1567(904*19^110984-1)/3141924Curtis Bright05/2015
15684*5^202913-9141831Lelio R Paula04/2015
15692*7^167812-3141818Lelio R Paula12/2014
15702^471043+35141799Robert Price11/2015
1571(11*2^470956-1)/7945141770Lelio R Paula08/2015
15722^470692+76771141693Enzo Doria05/2016
1573(21*2^470391+1)/533141601Lelio R Paula09/2015
15742^470305-459373141576Enzo Doria05/2015
15752^470183+72623141540Enzo Doria04/2016
15762^470173-16465141537Enzo Doria04/2013
15772^469974-1841141477Enzo Doria05/2014
1578(23*2^469939+1)/25141466Lelio R Paula08/2015
15792*10^141448+63141449Robert Price05/2018
15802^469824+43141432Lelio R Paula09/2017
15812*10^141407-27141408Robert Price05/2018
15822^469630-59711141373Enzo Doria10/2015
1583(2^469564-3)/611141351Lelio R Paula08/2015
1584197^61601+2141342Lelio R Paula08/2017
15852^469372-112949141296Enzo Doria07/2014
1587143^(2^16)+106^(2^16)141253Valeryi Kuryshev02/2011
1586143^65536+106^65536141253Serge Batalov03/2018
15882^469198+782569141243Enzo Doria10/2016
15892^469076-2786939141206Enzo Doria11/2015
15902^468804+1874941141125Enzo Doria06/2016
15912^468787+81353141119Enzo Doria08/2016
15922^468595-350407141062Enzo Doria06/2015
15932^468564+87855141052Lelio R Paula01/2016
15942^468551-21987141048Enzo Doria07/2013
15952^468523-7141040Lelio R Paula08/2015
15962^468405+87855141004Lelio R Paula01/2016
15972^467978-113051140876Enzo Doria07/2014
15982^467780-344429140816Enzo Doria07/2015
15992^467605-1855603140764Enzo Doria09/2015
16005*10^140744-7140745Robert Price09/2015
1601(5^201359-1)/4140744Paul Bourdelais12/2008
16022^467401-1850023140702Enzo Doria08/2015
1603(2^467270+78557)/23247140658Lelio R Paula07/2015
1604(29*2^467205+1)/2780517107140635Lelio R Paula08/2015
16052^467166-1854941140631Enzo Doria09/2015
16062^466866-1840571140541Enzo Doria06/2015
16072^466829-459523140530Enzo Doria05/2015
16082^466692-113213140489Enzo Doria07/2014
1609153^64265-2140400Lelio R Paula11/2017
1610(112*10^140357-1)/3140359Serge Batalov12/2014
16112^466181-112735140335Enzo Doria07/2014
1612(5*10^140281-119)/3140282Robert Price03/2018
1613(27*2^465872+1)/691140241Lelio R Paula08/2015
16142^465803-114817140221Enzo Doria05/2015
1615floor(Pi*10^140344)%10^140165140165Serge Batalov08/2012
16162^465503-112735140131Enzo Doria07/2014
16176^179964+179964^6-1140040Robert Price04/2014
1618(29*2^465077-1)/9140003Lelio R Paula08/2015
16192^465072-344789140001Enzo Doria07/2015
16202^464864-17139939Lelio R Paula09/2017
1621(17^113621+1)/18139804Paul Bourdelais09/2011
1622(19*2^464312-1)/3139773Lelio R Paula08/2015
16233*10^139722+13139723Robert Price07/2018
1624(31*2^463970+1)/5139670Lelio R Paula08/2015
1625(18203^(2^15)+(18201)^(2^15))/2139597Robert Price05/2018
16262^463633-2788423139568Enzo Doria11/2015
16272^463271-109501139459Enzo Doria04/2014
1628(5*10^139457+79)/3139458Robert Price03/2018
16292^463237-99139449Lelio R Paula09/2017
1630(7*10^139417-547)/9139417Robert Price01/2018
1631(10^139398+191)/3139398Robert Price02/2018
16322^463019+79463139383Enzo Doria06/2016
16333^292129-112756139381Enzo Doria07/2014
1634(15*2^462951+1)/527139361Lelio R Paula08/2015
16352^462855-1865707139334Enzo Doria02/2016
16362^462786-292043139313Enzo Doria08/2015
1637(26*10^139289+1)/9139290Serge Batalov05/2010
16382^462238-935139148Yves Minet02/2014
16392^461228+1870441138844Enzo Doria05/2016
16402^461204-113675138837Enzo Doria08/2014
1641(2^461139-7)/47138815Lelio R Paula08/2015
1642(17*10^138812-521)/9138813Robert Price04/2018
16433*10^138811-11138812Robert Price07/2018
1644(17*2^460963+1)/124051613138757Lelio R Paula08/2015
16452^460567-113541138645Enzo Doria08/2014
16467*10^138604+3138605Robert Price08/2015
16472^460330+69138574Lelio R Paula09/2017
16482^460078-69581138498Enzo Doria12/2015
16492^459768+1531138404Lelio R Paula06/2012
16502^459343-113611138277Enzo Doria08/2014
16512^459199+1874393138233Enzo Doria06/2016
16522^459063-345307138192Enzo Doria06/2015
16532*10^138162-43138163Robert Price04/2018
16542^458927-112747138151Enzo Doria06/2014
16552^458927-69217138151Enzo Doria11/2015
1656555555*2^458524+1513138036Darren Bedwell08/2009
16572^458465+2^32+1138012T. D. Noe06/2007
16582^458321-113053137969Enzo Doria07/2014
16592^458298+79459137962Enzo Doria06/2016
16602^458248-21815137947Enzo Doria07/2013
16612^458194+1876549137931Enzo Doria07/2016
1662(318259#+325270)/(2^2*5*11*2957)137907Makoto Morimoto10/2017
16632^457937+57137853Lelio R Paula09/2017
1664(8*10^137845+13)/3137846Robert Price06/2018
16652^457822+105137819Donovan Johnson06/2006
16662^457754-113711137798Enzo Doria09/2014
166711^132315-360137792Enzo Doria09/2012
16682^457347-37137676Lelio R Paula09/2017
16692^457322-2786393137668Enzo Doria10/2015
1670gcd(Phi(699340,10),(10^34967+1)^3*(10^34967+1+10^17484)-(10^69934+10^34967)*(10^17484-1)+10^104901)137664Serge Batalov04/2015
16712^457240-59939137643Enzo Doria10/2015
16722^457120-21575137607Enzo Doria07/2013
1673(11*2^456978+1)/15137564Lelio R Paula07/2015
1674(7*25^98399+10613)/12137556Curtis Bright05/2015
16752^456796-113513137510Enzo Doria08/2014
1676(7*2^456655+1)/39137467Lelio R Paula07/2015
16772^456503-114361137422Enzo Doria01/2015
1678(11*2^456387+1)/19137386Lelio R Paula07/2015
1679(71*10^137250+1)/9137251Serge Batalov05/2010
16802^455922+76249137247Enzo Doria05/2016
168114^119741-119741^14137239Serge Batalov04/2016
1682(19*2^455760+1)/3455137196Lelio R Paula07/2015
1684124^(2^16)+57^(2^16)137195Valeryi Kuryshev02/2011
1683124^65536+57^65536137195Serge Batalov03/2018
16852^455689+72677137177Enzo Doria04/2016
1686(17948!)^2+Prime(17948)137118Robert Price08/2014
1687(37^87421-1)/36137093Robert Price03/2012
16882^455323-57137066Lelio R Paula09/2017
1689(73*17^111333-9)/16136991Curtis Bright05/2015
16902^455025-112723136977Enzo Doria06/2014
16912^454675-1777136871Yves Minet10/2011
16923*10^136829+29136830Robert Price05/2018
1693(6092*28^94536-143)/9136812Curtis Bright05/2015
16942^454348-53136773Lelio R Paula09/2017
169531^91680-2136729Lelio R Paula05/2017
16962^454199-113697136728Enzo Doria09/2014
16972^453935-2791357136649Enzo Doria01/2016
16982^453906-69131136640Enzo Doria11/2015
16992^453791+1873913136605Enzo Doria06/2016
1700(21*2^453740-1)/2735136588Lelio R Paula07/2015
17012^453503-2788297136519Enzo Doria11/2015
17022^453267-113827136447Enzo Doria09/2014
17032^453102+1877629136398Enzo Doria08/2016
1704L(651821)136223Henri Lifchitz09/2008
17052^452460+77701136205Enzo Doria05/2016
17062^452440-114755136199Enzo Doria04/2015
17072*10^136057-43136058Robert Price04/2018
1708(2^451956-5)/181136051Lelio R Paula07/2015
17092^451947-22165136050Enzo Doria07/2013
17102^451787-21805136002Enzo Doria07/2013
17112^451734-112817135986Enzo Doria06/2014
1712(11*2^451714+1)/75135979Lelio R Paula07/2015
17132^451705-21879135977Enzo Doria07/2013
17142^451560-112349135934Enzo Doria06/2014
17152^451530+45135925Lelio R Paula08/2017
17162^451450-21743135900Enzo Doria07/2013
17172^450805+65135706Lelio R Paula08/2017
1718(13725^32768+1)/131074135573Lelio R Paula03/2012
1719(5^193939+1)/6135557Paul Bourdelais12/2008
17202^449944-113247135447Enzo Doria07/2014
17212^449770-113247135395Enzo Doria07/2014
17222^449637-21471135355Enzo Doria07/2013
17232^449571-75135335Lelio R Paula08/2017
1724(3*2^449494+1)/61340334013135301Lelio R Paula07/2015
1725(13*10^135279+437)/9135280Robert Price04/2018
17262^449330-35135262Lelio R Paula08/2017
1727(19*2^449325+1)/9135261Lelio R Paula07/2015
17282^449049-115309135178Enzo Doria07/2015
1729(10^135174+191)/3135174Robert Price02/2018
17302^449030-15135172Lelio R Paula08/2017
1731(27*2^448936-1)/11135144Lelio R Paula07/2015
17322^448762-351401135091Enzo Doria07/2015
17332*10^135083-43135084Robert Price04/2018
1734(10^135011+719)/9135011Serge Batalov12/2014
17352^448386-2786261134978Enzo Doria03/2016
17362^448113-113949134896Enzo Doria11/2014
17372^447888-2786639134828Enzo Doria03/2016
17382^447870-396765134823Enzo Doria07/2013
17392^447766-21791134791Enzo Doria07/2013
1740(23*2^447647+1)/155134755Lelio R Paula07/2015
17412^447552-1019134727Yves Minet02/2014
1742(2*10^134720-41)/3134720Robert Price02/2018
17432^447437-113569134692Enzo Doria08/2014
17442^447426-65134689Lelio R Paula08/2017
17452^447357-2797573134668Enzo Doria04/2016
17462^447278+93134645Lelio R Paula08/2017
17472^447094-113193134589Enzo Doria07/2014
17483^282041-9934134568Enzo Doria05/2014
17492^447019-109039134567Enzo Doria04/2014
17502^446990-22041134558Enzo Doria07/2013


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: August, 14 2018 21:45 (Time in France)

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