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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
3104449196208898399 ~1997
3104545916209091839 ~1997
3104626436209252879 ~1997
3104682116209364239 ~1997
3104685836209371679 ~1997
310473301186283980710 ~1998
3104843516209687039 ~1997
3104873636209747279 ~1997
3104914796209829599 ~1997
310500947248400757710 ~1999
3105032996210065999 ~1997
3105039236210078479 ~1997
3105068516210137039 ~1997
3105094436210188879 ~1997
3105164036210328079 ~1997
3105211196210422399 ~1997
3105245636210491279 ~1997
310533733186320239910 ~1998
3105460316210920639 ~1997
3105543236211086479 ~1997
310557047559002684710 ~2000
310564157248451325710 ~1999
310572511559030519910 ~2000
3105802436211604879 ~1997
310588337186353002310 ~1998
Exponent Prime Factor Digits Year
3105904436211808879 ~1997
3106050236212100479 ~1997
3106059236212118479 ~1997
3106134236212268479 ~1997
3106227836212455679 ~1997
3106414916212829839 ~1997
3106499036212998079 ~1997
3106605236213210479 ~1997
3106716071801895320711 ~2001
3106720796213441599 ~1997
3106785236213570479 ~1997
3106788116213576239 ~1997
3106809116213618239 ~1997
3106887236213774479 ~1997
3107000516214001039 ~1997
310702351310702351110 ~1999
3107046236214092479 ~1997
310707037186424222310 ~1998
310707101186424260710 ~1998
310713317186427990310 ~1998
3107275196214550399 ~1997
310731257186438754310 ~1998
310743913497190260910 ~2000
3107454716214909439 ~1997
3107488436214976879 ~1997
Exponent Prime Factor Digits Year
3107557196215114399 ~1997
310767221248613776910 ~1999
3107675036215350079 ~1997
310770997932312991110 ~2000
3107782916215565839 ~1997
3108010796216021599 ~1997
3108096596216193199 ~1997
310828121186496872710 ~1998
3108512516217025039 ~1997
310860427310860427110 ~1999
310865279746076669710 ~2000
3108771116217542239 ~1997
310885973186531583910 ~1998
310915727248732581710 ~1999
310919573186551743910 ~1998
3109198916218397839 ~1997
3109261916218523839 ~1997
3109283396218566799 ~1997
310938827248751061710 ~1999
310939081186563448710 ~1998
3109413116218826239 ~1997
3109667636219335279 ~1997
310978001186586800710 ~1998
310979237435370931910 ~1999
3109827836219655679 ~1997
Exponent Prime Factor Digits Year
310983931310983931110 ~1999
3109955892239168240911 ~2001
3110101916220203839 ~1997
3110138036220276079 ~1997
3110158916220317839 ~1997
3110199596220399199 ~1997
311021717186613030310 ~1998
3110424236220848479 ~1997
3110427236220854479 ~1997
311051291248841032910 ~1999
311074901186644940710 ~1998
3110751236221502479 ~1997
3110804636221609279 ~1997
3110828516221657039 ~1997
3110875196221750399 ~1997
3110958596221917199 ~1997
3111045236222090479 ~1997
3111085196222170399 ~1997
3111106196222212399 ~1997
3111117716222235439 ~1997
3111121436222242879 ~1997
3111145093484482500911 ~2002
311117173186670303910 ~1998
311119961248895968910 ~1999
3111213116222426239 ~1997
2981
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25-05-04