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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
3899407389940718 ~1984
389977177995437 ~1982
38998093431831939 ~1986
3900167312013378 ~1984
3900223624035698 ~1985
3900227702040878 ~1985
3900367624058738 ~1985
39005811170174319 ~1985
390062378012477 ~1982
3900733624117298 ~1985
390083978016797 ~1982
3900937234056238 ~1984
3901201234072078 ~1984
390122378024477 ~1982
39012236319981279
3901333234079998 ~1984
3901369858301198 ~1985
390151178030237 ~1982
3901531624244978 ~1985
390157178031437 ~1982
3901571312125698
39016731248535379 ~1985
3901853234111198 ~1984
3901867390186718 ~1984
3902053858451678 ~1985
Exp. Prime Factor Digits Year
39021491873031539 ~1986
390221978044397 ~1982
3902237312178978 ~1984
3902347702422478 ~1985
390235178047037 ~1982
3902441234146478 ~1984
3902489312199138 ~1984
3902489936597378
3902531702455598 ~1985
390281978056397 ~1982
3902827390282718 ~1984
39028272575865839
3903101742369810310 ~1990
3903131312250498 ~1984
390314378062877 ~1982
3903233234193998 ~1984
3903281234196878 ~1984
390329978065997 ~1982
39034791249113299 ~1985
390356378071277 ~1982
3903593936862338 ~1985
3903637234218238 ~1984
39039471015026239 ~1985
3904447390444718 ~1984
39045012733150719 ~1986
Exp. Prime Factor Digits Year
3904547702818478 ~1985
3904603390460318 ~1984
39047574685708419 ~1987
39047577809514019
390493178098637 ~1982
3904973234298398 ~1984
3905113234306798 ~1984
3905177234310638 ~1984
390535178107037 ~1982
390565178113037 ~1982
3905777312462178 ~1984
39059331249898579 ~1985
390632378126477 ~1982
3906361234381678 ~1984
39064071015665839 ~1985
3906547625047538 ~1985
3906653546931438 ~1985
3906691625070578 ~1985
3906797234407838 ~1984
3906827312546178 ~1984
390691178138237 ~1982
3907051625128178 ~1985
39070613985202239 ~1987
3907069937696578 ~1985
3907081234424878 ~1984
Exp. Prime Factor Digits Year
3907097234425838 ~1984
3907159937718178 ~1985
3907193234431598 ~1984
39072071875459379 ~1986
3907499312599938 ~1984
390752378150477 ~1982
3907529547054078 ~1985
39077271016009039 ~1985
390781178156237 ~1982
3907811312624898
3907817234469038 ~1984
3907817312625378
390791978158397 ~1982
39080171172405119 ~1985
3908291312663298 ~1984
3908339312667138 ~1984
390836378167277 ~1982
3908441312675298 ~1984
3908467703524078 ~1985
3908477234508638 ~1984
3908497234509838 ~1984
3908561234513678 ~1984
3908581234514878 ~1984
390871178174237 ~1982
3908753234525198 ~1984
600
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25-12-14