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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
2847675235695350479 ~1997
284779471284779471110 ~1999
2847939595695879199 ~1997
2848134235696268479 ~1997
2848174435696348879 ~1997
2848429195696858399 ~1997
2848455595696911199 ~1997
2848503235697006479 ~1997
2848660915697321839 ~1997
2848669795697339599 ~1997
284867579227894063310 ~1998
2848682995697365999 ~1997
2848697035697394079 ~1997
2848891915697783839 ~1997
2848951195697902399 ~1997
284915753170949451910 ~1998
2849185195698370399 ~1997
2849191195698382399 ~1997
284924831512864695910 ~1999
284926937398897711910 ~1999
2849338435698676879 ~1997
284939857170963914310 ~1998
284955491227964392910 ~1998
2849621035699242079 ~1997
284982263740953883910 ~2000
Exponent Prime Factor Digits Year
2849836195699672399 ~1997
2849903995699807999 ~1997
284997721455996353710 ~1999
284999257455998811310 ~1999
2850010435700020879 ~1997
285023719285023719110 ~1999
2850257035700514079 ~1997
2850537595701075199 ~1997
2850577091140230836111 ~2000
2850692035701384079 ~1997
2850745795701491599 ~1997
2850770535416464007111 ~2002
285084389855253167110 ~2000
285095147228076117710 ~1998
2850960235701920479 ~1997
2850987835701975679 ~1997
2851001995702003999 ~1997
285105817171063490310 ~1998
2851071115702142239 ~1997
2851117915702235839 ~1997
285123959513223126310 ~1999
2851380115702760239 ~1997
2851483795702967599 ~1997
2851525315703050639 ~1997
285154769228123815310 ~1998
Exponent Prime Factor Digits Year
285155573399217802310 ~1999
2851627915703255839 ~1997
2851628035703256079 ~1997
285169211228135368910 ~1998
2851699315703398639 ~1997
2851710595703421199 ~1997
285173891228139112910 ~1998
2851786435703572879 ~1997
285181487684435568910 ~2000
2851827595703655199 ~1997
285189557399265379910 ~1999
2851924315703848639 ~1997
2851935235703870479 ~1997
2851979111882306212711 ~2001
285202133171121279910 ~1998
285212573171127543910 ~1998
2852131435704262879 ~1997
2852180515704361039 ~1997
2852265595704531199 ~1997
285234907456375851310 ~1999
2852415595704831199 ~1997
285242981171145788710 ~1998
2852451715704903439 ~1997
285255907285255907110 ~1999
2852564635705129279 ~1997
Exponent Prime Factor Digits Year
285256877171154126310 ~1998
2852609395705218799 ~1997
2852646111198111366311 ~2000
2852701315705402639 ~1997
2852883835705767679 ~1997
285291311228233048910 ~1999
2852957995705915999 ~1997
285297931456476689710 ~1999
2853023995706047999 ~1997
285308561171185136710 ~1998
2853117595706235199 ~1997
285315977171189586310 ~1998
2853176395706352799 ~1997
2853180235706360479 ~1997
2853275515706551039 ~1997
2853327595706655199 ~1997
285336083684806599310 ~2000
2853378235706756479 ~1997
2853488515706977039 ~1997
285358571228286856910 ~1999
2853719395707438799 ~1997
285385007228308005710 ~1999
2853979795707959599 ~1997
2854032715708065439 ~1997
285412807285412807110 ~1999
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25-06-08