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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.
Exp. Prime Factor Digits Year
7164623143292478 ~1985
71647971003071599 ~1987
7164863143297278 ~1985
71648631862864399
71650031719600739 ~1987
7165199143303998 ~1985
7165597429935838 ~1986
71656012149680319 ~1987
71659731003236239 ~1987
7165979143319598 ~1985
7165979573278338
7166063143321278 ~1985
71661131576544879 ~1987
7166147573291778 ~1986
7166279143325598 ~1985
7166279573302338
7166297429977838 ~1986
7166339143326798 ~1985
71663771719930499 ~1987
7166531143330638 ~1985
7166561429993678 ~1986
7166581429994878 ~1986
7166909573352738 ~1986
7167323143346478 ~1985
7168163143363278 ~1985
Exp. Prime Factor Digits Year
7168277430096638 ~1986
7168277573462178
7168391625083695310 ~1991
7168541573483298 ~1986
71687031720488739 ~1987
7168919143378398 ~1985
7168943143378878 ~1985
7169243143384878 ~1985
7169489573559138 ~1986
7169753430185198 ~1986
71699271290586879 ~1987
7170419573633538 ~1986
7170431143408638 ~1985
7170607110427347910 ~1989
7170671143413438 ~1985
7170731143414638 ~1985
7170851143417038 ~1985
7170887573670978 ~1986
7170901430254078 ~1986
7170983143419678 ~1985
7171181430270878 ~1986
7171181573694498
7171259143425198 ~1985
7171751143435038 ~1985
7171937430316238 ~1986
Exp. Prime Factor Digits Year
7172219143444398 ~1985
71722193586109519
71724671147594739 ~1987
7172567573805378 ~1986
7172591143451838 ~1985
7172723143454478 ~1985
7172881430372878 ~1986
7173017573841378 ~1986
7173137430388238 ~1986
7173191143463838 ~1985
71732392295436499 ~1987
7173863143477278 ~1985
7173899143477998 ~1985
71739771004356799 ~1987
7174093430445598 ~1986
71743131004403839 ~1987
7174439143488798 ~1985
7174703143494078 ~1985
7174889573991138 ~1986
7175039143500798 ~1985
7175159143503198 ~1985
7175303143506078 ~1985
7175317430519038 ~1986
7175417574033378 ~1986
7175437430526238 ~1986
Exp. Prime Factor Digits Year
7175561574044898 ~1986
7175783143515678 ~1985
7175957430557438 ~1986
7176419143528398 ~1985
7176461574116898 ~1986
7176479143529598 ~1985
7176551143531038 ~1985
7176773430606398 ~1986
7176823717682318 ~1986
7177217430633038 ~1986
7177343143546878 ~1985
7177367574189378 ~1986
71774271866131039 ~1987
7177613430656798 ~1986
7177697574215778 ~1986
7177739143554798 ~1985
7177811143556238 ~1985
7178057430683438 ~1986
7178141430688478 ~1986
7178159143563198 ~1985
71781593589079519
7178401430704078 ~1986
7178411574272898 ~1986
7178459143569198 ~1985
7178477574278178 ~1986
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