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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
4969093298145598 ~1984
496919999383997 ~1983
4969319397545538 ~1985
4969427894496878 ~1986
496946399389277 ~1983
4969477298168638 ~1984
496963199392637 ~1983
49697512385480499 ~1987
4969793298187598 ~1984
496982399396477 ~1983
4969901298194078 ~1984
4970177397614178 ~1985
4970857298251438 ~1984
4970873298252398 ~1984
49708911292431679 ~1986
497102399420477 ~1983
497120399424077 ~1983
4971257397700578 ~1985
4971437397714978 ~1985
4971691795470578 ~1985
49717091093775999 ~1986
49717091193210179
4971721298303278 ~1984
4971781298306878 ~1984
497183999436797 ~1983
Exp. Prime Factor Digits Year
4971881397750498 ~1985
497197199439437 ~1983
4972013298320798 ~1984
497203199440637 ~1983
4972151397772098 ~1985
4972199397775938 ~1985
4972327895018878 ~1986
49723331491699919 ~1986
49723491889492639 ~1986
49724691889538239 ~1986
4972481397798498 ~1985
4972573795611698 ~1985
4972691397815298 ~1985
4973021397841698 ~1985
4973141298388478 ~1984
4973347497334718 ~1985
49735672486783519 ~1987
4973821298429278 ~1984
49738674874389679 ~1987
4974071397925698 ~1985
4974157298449438 ~1984
497431199486237 ~1983
497471999494397 ~1983
497474399494877 ~1983
4974793298487598 ~1984
Exp. Prime Factor Digits Year
4974953298497198 ~1984
497503199500637 ~1983
49750392885522639 ~1987
4975213298512798 ~1984
49752471194059299 ~1986
49753191194076579 ~1986
4975457398036578 ~1985
49754936269121199 ~1988
497557199511437 ~1983
4975571895602798
4975661398052898 ~1985
4975829398066338 ~1985
497606399521277 ~1983
4976161796185778 ~1985
49761611094755439
497617199523437 ~1983
497618399523677 ~1983
4976317298579038 ~1984
4976593298595598 ~1984
497666399533277 ~1983
4976687398134978 ~1985
4976837298610238 ~1984
4976897398151778 ~1985
49768992090297599 ~1987
497696399539277 ~1983
Exp. Prime Factor Digits Year
4977097298625838 ~1984
497723999544797 ~1983
4977239398179138
4977437298646238 ~1984
497749199549837 ~1983
4977521398201698 ~1985
4977527398202178 ~1985
4977559497755918 ~1985
497761199552237 ~1983
49776112488805519
49776671581902572711 ~1991
49776712787495779 ~1987
49777998064034399 ~1988
4977893298673598 ~1984
4977893696905038
497816399563277 ~1983
4978397298703838 ~1984
4978453298707198 ~1984
4978487398278978 ~1985
4978577298714638 ~1984
49785771493573119
4978697398295778 ~1985
49789072489453519 ~1987
49789731593271379 ~1986
4979047497904718 ~1985
675
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25-04-13