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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
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
285155573399217802310 ~1999
2851627915703255839 ~1997
2851628035703256079 ~1997
Exponent Prime Factor Digits Year
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
2852180515704361039 ~1997
2852265595704531199 ~1997
285234907456375851310 ~1999
2852415595704831199 ~1997
285242981171145788710 ~1998
2852451715704903439 ~1997
285255907285255907110 ~1999
2852564635705129279 ~1997
285256877171154126310 ~1998
2852609395705218799 ~1997
2852646111198111366311 ~2000
2852701315705402639 ~1997
Exponent Prime Factor Digits Year
2852883835705767679 ~1997
285291311228233048910 ~1998
2852957995705915999 ~1997
285297931456476689710 ~1999
2853023995706047999 ~1997
285308561171185136710 ~1998
2853117595706235199 ~1997
285315977171189586310 ~1998
2853176395706352799 ~1997
2853180235706360479 ~1997
2853275515706551039 ~1997
285336083684806599310 ~2000
2853378235706756479 ~1997
2853488515706977039 ~1997
285358571228286856910 ~1998
285385007228308005710 ~1998
2853979795707959599 ~1997
2854032715708065439 ~1997
285412807285412807110 ~1999
2854210915708421839 ~1997
2854245715708491439 ~1997
2854326715708653439 ~1997
285433273171259963910 ~1998
2854335595708671199 ~1997
2854380715708761439 ~1997
Exponent Prime Factor Digits Year
285438367285438367110 ~1999
285438641171263184710 ~1998
285442777171265666310 ~1998
2854438435708876879 ~1997
2854526635709053279 ~1997
2854562635709125279 ~1997
2854605595709211199 ~1997
2854672435709344879 ~1997
2854773595709547199 ~1997
285480673456769076910 ~1999
285481277171288766310 ~1998
2854825795709651599 ~1997
2854948435709896879 ~1997
2855019595710039199 ~1997
2855210231884438751911 ~2001
2855257692055785536911 ~2001
285527023685264855310 ~2000
2855413915710827839 ~1997
2855467435710934879 ~1997
2855478595710957199 ~1997
2855495035710990079 ~1997
285554861228443888910 ~1998
2855638195711276399 ~1997
2855895715711791439 ~1997
285590867514063560710 ~1999
2920
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25-04-13