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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
3091589247327138 ~1983
30916391483986739 ~1985
309179961835997 ~1982
309181161836237 ~1982
3091819556527438 ~1984
3091897185513838 ~1983
309191961838397 ~1982
309227961845597 ~1982
309239961847997 ~1982
3092513185550798 ~1983
3092513432951838
3092561185553678 ~1983
3092699989663698 ~1985
3092701185562078 ~1983
309278361855677 ~1982
3092891247431298 ~1983
30930111299064639 ~1985
309305961861197 ~1982
309313161862637 ~1982
309320361864077 ~1982
3093221185593278 ~1983
30932531670356639 ~1985
309338361867677 ~1982
3093421185605278 ~1983
309347961869597 ~1982
Exp. Prime Factor Digits Year
3093511494961778 ~1984
309353961870797 ~1982
3093647247491778 ~1983
309374361874877 ~1982
309380361876077 ~1982
3093817185629038 ~1983
309389961877997 ~1982
3093919309391918 ~1983
3094033185641998 ~1983
3094037185642238 ~1983
3094241247539298 ~1983
3094243495078898 ~1984
3094291309429118 ~1983
3094297185657838 ~1983
3094457247556578 ~1983
3094633185677998 ~1983
3094747742739298 ~1984
3094813680858878 ~1984
309485961897197 ~1982
3094877185692638 ~1983
3094907557083278 ~1984
309499161899837 ~1982
309506361901277 ~1982
309524361904877 ~1982
30952431547621519
Exp. Prime Factor Digits Year
30952432228574979
3095327742878498 ~1984
3095707309570718 ~1983
3096253185775198 ~1983
3096413433497838 ~1984
30964792477183219 ~1986
3096553743172738 ~1984
3096719247737538 ~1983
3096727743214498 ~1984
309691161938237 ~1982
3096913681320878 ~1984
309707961941597 ~1982
3097097247767778 ~1983
309715161943037 ~1982
3097187141231727310 ~1987
309727161945437 ~1982
3097291309729118 ~1983
30973092415901039 ~1986
30973631982312339 ~1985
309743961948797 ~1982
30974694460355379 ~1986
309773961954797 ~1982
3097781203214433710 ~1988
3098153185889198 ~1983
3098299743591778 ~1984
Exp. Prime Factor Digits Year
309842361968477 ~1982
3098597185915838 ~1983
3098687247894978 ~1983
309872361974477 ~1982
3098747247899778 ~1983
3098789247903138 ~1983
309899961979997 ~1982
3099029247922338 ~1983
309905961981197 ~1982
309917961983597 ~1982
3099193495870898 ~1984
3099293743830338 ~1984
309935961987197 ~1982
3099617185977038 ~1983
3099911247992898 ~1983
3100127248010178 ~1983
310015162003037 ~1982
310019962003997 ~1982
3100289434040478 ~1984
3100367248029378 ~1983
31006611178251199 ~1985
310073962014797 ~1982
3100843310084318 ~1983
3100913930273918 ~1985
3100939558169038 ~1984
505
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25-04-13