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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
3459437207566238 ~1983
345997169199437 ~1982
346013969202797 ~1982
3460201207612078 ~1983
3460271899670478 ~1985
3460319276825538 ~1984
3460619622911438 ~1984
3460693761352478 ~1985
346079969215997 ~1982
34612311453717039 ~1985
3461417276913378 ~1984
346165169233037 ~1982
346166369233277 ~1982
3461699623105838 ~1984
3461791346179118 ~1984
346213169242637 ~1982
3462131623183598
3462233207733998 ~1983
3462337553973938 ~1984
34623791177208879 ~1985
3462517207751038 ~1983
346277969255597 ~1982
346286369257277 ~1982
3462937554069938 ~1984
3462961207777678 ~1983
Exp. Prime Factor Digits Year
3463139277051138 ~1984
34631714779175999 ~1987
3463181277054498 ~1984
34631832839810079 ~1986
346319969263997 ~1982
34633074987162099 ~1987
346331969266397 ~1982
346351169270237 ~1982
3463591346359118 ~1984
3463861207831678 ~1983
3464093207845598 ~1983
3464117207847038 ~1983
34643091039292719 ~1985
346442369288477 ~1982
3464453207867198 ~1983
346457969291597 ~1982
34648072563957199 ~1986
3465101207906078 ~1983
3465151554424178 ~1984
3465257207915438 ~1983
3465373554459698 ~1984
3465379346537918 ~1984
3465491623788398 ~1984
346550369310077 ~1982
3465731901090078 ~1985
Exp. Prime Factor Digits Year
3465857207951438 ~1983
3465857831805698
3465947277275778 ~1984
3465989485238478 ~1984
3466321207979278 ~1983
3466343831922338 ~1985
346649969329997 ~1982
3466601207996078 ~1983
34666131109316179 ~1985
346664369332877 ~1982
346676369335277 ~1982
346681169336237 ~1982
3466811277344898
3466933554709298 ~1984
346694369338877 ~1982
346754369350877 ~1982
3467593208055598 ~1983
3467647832235298 ~1985
3467669277413538 ~1984
3467693485477038 ~1984
3467909277432738 ~1984
34683013052104899 ~1986
3468307346830718 ~1984
346835969367197 ~1982
3468481208108878 ~1983
Exp. Prime Factor Digits Year
3468599277487938 ~1984
346886369377277 ~1982
3468991624418398 ~1984
346901969380397 ~1982
3469061277524898 ~1984
3469073208144398 ~1983
3469181208150878 ~1983
346922369384477 ~1982
3469247277539778 ~1984
3469387555101938 ~1984
3469393208163598 ~1983
3469421208165278 ~1983
3469421277553698
3469519624513438 ~1984
3469867624576078 ~1984
346994369398877 ~1982
347000369400077 ~1982
3470161208209678 ~1983
34702391179881279 ~1985
3470353555256498 ~1984
3470443555270898 ~1984
3470587347058718 ~1984
3470617208237038 ~1983
3470821208249278 ~1983
3470851347085118 ~1984
544
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25-05-04