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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
653408543130681708710 ~2000
653445323130689064710 ~2000
6534493511045518961711 ~2002
653456603130691320710 ~2000
653458601392075160710 ~2001
653473651653473651110 ~2002
653485583130697116710 ~2000
653487623130697524710 ~2000
653491451130698290310 ~2000
653495651130699130310 ~2000
653516483130703296710 ~2000
653533757392120254310 ~2001
653539643130707928710 ~2000
653551571130710314310 ~2000
6535751592222155540711 ~2003
653609711130721942310 ~2000
653631911130726382310 ~2000
653652539130730507910 ~2000
653659703130731940710 ~2000
653662319130732463910 ~2000
653705243130741048710 ~2000
653735903130747180710 ~2000
6537382799936821840911 ~2004
653767643130753528710 ~2000
653806453392283871910 ~2001
Exponent Prime Factor Digits Year
653829857523063885710 ~2001
653837039130767407910 ~2000
653893453392336071910 ~2001
653899751130779950310 ~2000
653906999130781399910 ~2000
653913941392348364710 ~2001
653919641523135712910 ~2001
653924077392354446310 ~2001
653925743130785148710 ~2000
653926631130785326310 ~2000
653940239523152191310 ~2001
6539415371046306459311 ~2002
653941583130788316710 ~2000
653944523130788904710 ~2000
653955899130791179910 ~2000
653966363130793272710 ~2000
654013403130802680710 ~2000
654026063130805212710 ~2000
654038243130807648710 ~2000
654069497392441698310 ~2001
654072329915701260710 ~2002
654095759130819151910 ~2000
654102259654102259110 ~2002
654105059130821011910 ~2000
654162611130832522310 ~2000
Exponent Prime Factor Digits Year
654174239130834847910 ~2000
654176339130835267910 ~2000
654208823130841764710 ~2000
654260897392556538310 ~2001
654274151130854830310 ~2000
654311167654311167110 ~2002
654333059130866611910 ~2000
654341453392604871910 ~2001
6543795671177883220711 ~2002
654393959130878791910 ~2000
654395519130879103910 ~2000
654401483130880296710 ~2000
654416831130883366310 ~2000
654428063130885612710 ~2000
654434531130886906310 ~2000
654436463130887292710 ~2000
654443333916220666310 ~2002
654448079130889615910 ~2000
654464831130892966310 ~2000
654499451130899890310 ~2000
654500711130900142310 ~2000
654526871130905374310 ~2000
6545933831571024119311 ~2003
654620633392772379910 ~2001
654665171130933034310 ~2000
Exponent Prime Factor Digits Year
654681893392809135910 ~2001
654690059130938011910 ~2000
654713861523771088910 ~2001
654715403130943080710 ~2000
654736583130947316710 ~2000
654755291130951058310 ~2000
654766193392859715910 ~2001
654811141392886684710 ~2001
6548138832226367202311 ~2003
654824783130964956710 ~2000
654828203130965640710 ~2000
654839891130967978310 ~2000
654846119130969223910 ~2000
654850739130970147910 ~2000
654877703130975540710 ~2000
654901781392941068710 ~2001
654905183130981036710 ~2000
6549219471702797062311 ~2003
654925811130985162310 ~2000
654940523130988104710 ~2000
654956051130991210310 ~2000
654958079130991615910 ~2000
654959303130991860710 ~2000
655009391524007512910 ~2001
655018319131003663910 ~2000
3520
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25-11-02