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Small Mersenne Prime Factors
Prime numbers of the form Mp= 2p − 1 are called Mersenne primes. For Mp to be prime, p must also be prime.
Any factor q of a Mersenne number 2p − 1 must be of the form 2kp + 1, where integer k ≥ 0. Furthermore, q must be 1 or 7 mod 8.
Exponent Prime Factor Digits Year
2045124594090249199 ~1996
2045211234090422479 ~1996
2045251871186246084711 ~2000
204526549490863717710 ~1999
2045265714090531439 ~1996
2045273634090547279 ~1996
204527489163621991310 ~1997
204530681777216587910 ~1999
2045313114090626239 ~1996
2045402394090804799 ~1996
204542141122725284710 ~1997
2045440314090880639 ~1996
2045468514090937039 ~1996
204547367163637893710 ~1997
204551377122730826310 ~1997
2045524373436480941711 ~2001
2045558034091116079 ~1996
2045575194091150399 ~1996
2045605794091211599 ~1996
2045618034091236079 ~1996
204572443204572443110 ~1998
2045738994091477999 ~1996
2045864634091729279 ~1996
2045956794091913599 ~1996
2046021714092043439 ~1996
Exponent Prime Factor Digits Year
2046146034092292079 ~1996
204616127163692901710 ~1997
2046177114092354239 ~1996
204618853327390164910 ~1998
204621797286470515910 ~1998
2046393714092787439 ~1996
2046399834092799679 ~1996
204644257327430811310 ~1998
2046466794092933599 ~1996
2046474834092949679 ~1996
2046557394093114799 ~1996
2046559314093118639 ~1996
204658141122794884710 ~1997
2046630714093261439 ~1996
2046682794093365599 ~1996
204671281122802768710 ~1997
204673943532152251910 ~1999
2046766914093533839 ~1996
2046775794093551599 ~1996
2046779394093558799 ~1996
2046782634093565279 ~1996
2046810834093621679 ~1996
2046843234093686479 ~1996
204689699163751759310 ~1997
204698633122819179910 ~1997
Exponent Prime Factor Digits Year
2047016034094032079 ~1996
2047053234094106479 ~1996
2047138914094277839 ~1996
204714977122828986310 ~1997
2047363914094727839 ~1996
204736817122842090310 ~1997
2047383234094766479 ~1996
2047389234094778479 ~1996
204746917122848150310 ~1997
204772441122863464710 ~1997
2047744914095489839 ~1996
2047772634095545279 ~1996
2047780434095560879 ~1996
2047793034095586079 ~1996
2047811634095623279 ~1996
2047838994095677999 ~1996
2047897194095794399 ~1996
2047904514095809039 ~1996
2047936914095873839 ~1996
2047954434095908879 ~1996
2047973634095947279 ~1996
204798197163838557710 ~1997
204801481819205924110 ~1999
2048076114096152239 ~1996
204814447204814447110 ~1998
Exponent Prime Factor Digits Year
2048159394096318799 ~1996
2048255634096511279 ~1996
2048284194096568399 ~1996
204830221450626486310 ~1998
204837173122902303910 ~1997
204838721122903232710 ~1997
2048407914096815839 ~1996
204846953122908171910 ~1997
204857647204857647110 ~1998
2048621034097242079 ~1996
204863411368754139910 ~1998
2048643114097286239 ~1996
204865711204865711110 ~1998
2048663394097326799 ~1996
2048776434097552879 ~1996
204879293122927575910 ~1997
2048810514097621039 ~1996
204882001122929200710 ~1997
204897223327835556910 ~1998
2049039114098078239 ~1996
204906791532757656710 ~1999
2049114114098228239 ~1996
2049139314098278639 ~1996
2049151434098302879 ~1996
2049355794098711599 ~1996
3091
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26-04-05