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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
82561321987918 1965
8260918173997 1965
8260924782717
826134956796 1965
82651654595938 1976
82727914960638 ~1976
8272964528637 1965
82757364130818 1965
827631655276 1965
82799238461138 1965
8284774562317 1965
8290313264497 1965
82903119380338
829134974796 1965
8291324873917
829391515...05951924938 2021
8296394577837 1965
8298192938737 1965
8299719919297 1965
8300346481697 1965
83009742100478 ~1976
8304754811037 1965
8307139874097 1965
8322118308637 1965
832431664876 1965
Exp. Prime Factor Digits Year
8325719981697 1965
8325738298237
8326786597697 1965
833391666796 1965
83339101673598
8335771687037 1965
833991667996 1965
834076620847679 ~1978
8341731698477 1965
834231668476 1965
834318343116 1965
834591669196 1965
834596676736
8347146743777 1965
83477412376398 1965
8355720053697 1965
835791671596 1965
836175017036 1965
836396691136 1965
83641441624498 ~1975
83653194074978 1965
8370165286797 1965
837198371916 1965
8371935161997
8377320105537 1965
Exp. Prime Factor Digits Year
8384360366977 1965
83857335428018 1965
8390326848977 1965
839335035996 1965
839391678796 1965
83969152823598 1965
83969434959438
839838398316 1965
840111680236 1965
8401147046177
84011241951698
840176721376 1965
84017105861438
84061880959298 ~1976
84089141269538 1965
841215047276 1965
841311682636 1965
8421113473777 1965
842117774...29443125291 2020
8422140426097 1965
84221384047778
8422313475697 1965
84229424514178 1965
8423962336877 1965
8424713479537 1965
Exp. Prime Factor Digits Year
842631685276 1965
842991685996 1965
84313526113138 ~1976
84313115525672710
843176745376 1965
8431747217537
8431928668477 1965
84401148545778 1965
84421119877838 1965
844311688636 1965
84437376589038 1965
844431688876 1965
8444911822877 1965
844638446316 1965
844815068876 1965
8449974359137 1965
845031690076 1965
846291210194719 ~1976
846535079196 1965
846591693196 1965
84673553761438 ~1976
8469135570237 1965
8469189772477
84691191401678
8473122030077 1965
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