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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.
Exponent Prime Factor Digits Year
29232419584648398 ~1989
29232743584654878 ~1989
29233331584666638 ~1989
29233559584671198 ~1989
29234039584680798 ~1989
29234099584681998 ~1989
29234171584683438 ~1989
29234297742551143910 ~1994
292344611754067679 ~1990
292345611754073679 ~1990
29234591584691838 ~1989
29235071584701438 ~1989
29235659584713198 ~1989
29235779584715598 ~1989
29237063584741278 ~1989
29237471584749438 ~1989
29237651584753038 ~1989
29237963584759278 ~1989
29238263584765278 ~1989
29238299584765998 ~1989
29238383584767678 ~1989
292387672339101379 ~1991
292389011754334079 ~1990
29239673912277797710 ~1995
292397992339183939 ~1991
Exponent Prime Factor Digits Year
29239883584797678 ~1989
292403771754422639 ~1990
29240423584808478 ~1989
29240483584809678 ~1989
29240699584813998 ~1989
29240723584814478 ~1989
292416432924164319 ~1991
29242079584841598 ~1989
29242259584845198 ~1989
29242571584851438 ~1989
29243171584863438 ~1989
292438131754628799 ~1990
292440531754643199 ~1990
29244203584884078 ~1989
29244899584897998 ~1989
29244959584899198 ~1989
29245211584904238 ~1989
29245283584905678 ~1989
292457875264241679 ~1992
29246699584933998 ~1989
292473192924731919 ~1991
292477499359279699 ~1992
292487771754926639 ~1990
292490714679851379 ~1991
29249999584999998 ~1989
Exponent Prime Factor Digits Year
292502331755013999 ~1990
292507995265143839 ~1992
29251031585020638 ~1989
292511298775338719 ~1992
29251451585029038 ~1989
29251559585031198 ~1989
29251979585039598 ~1989
29252183585043678 ~1989
29252543585050878 ~1989
29252759585055198 ~1989
292535171755211039 ~1990
292538414680614579 ~1991
29254037251584718310 ~1993
29254451585089038 ~1989
29254811585096238 ~1989
29254871585097438 ~1989
29255819585116398 ~1989
29256263585125278 ~1989
29257031585140638 ~1989
29257199585143998 ~1989
29257223585144478 ~1989
29257619585152398 ~1989
292576197021828579
292578011755468079 ~1990
29257859585157198 ~1989
Exponent Prime Factor Digits Year
29257883585157678 ~1989
29258843585176878 ~1989
29259311585186238 ~1989
29259491585189838 ~1989
29259731585194638 ~1989
292609012340872099 ~1991
29261051585221038 ~1989
29261651585233038 ~1989
29261723585234478 ~1989
29261759585235198 ~1989
292617592340940739
29262263585245278 ~1989
29262503585250078 ~1989
29262539585250798 ~1989
29262659585253198 ~1989
29263763585275278 ~1989
29264099585281998 ~1989
29264171585283438 ~1989
29264363585287278 ~1989
29264519585290398 ~1989
29264951585299038 ~1989
29265179585303598 ~1989
29265839585316798 ~1989
292660672341285379 ~1991
292660677609177439
1693
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25-03-23