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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
4733461284007678 ~1984
4733501378680098 ~1985
4733537284012238 ~1984
4733753284025198 ~1984
4733789662730478 ~1985
473384394676877 ~1983
473395194679037 ~1983
4734259473425918 ~1985
473450394690077 ~1983
473456394691277 ~1983
4734677284080638 ~1984
4734799473479918 ~1985
4734929378794338 ~1985
4735037284102238 ~1984
4735169378813538 ~1985
4735433284125998 ~1984
47355891136541379 ~1986
47356812273126899 ~1986
47356971420709119 ~1986
4735711473571118 ~1985
473605194721037 ~1983
4736357663089998 ~1985
4736441284186478 ~1984
4736447378915778 ~1985
4736791473679118 ~1985
Exp. Prime Factor Digits Year
4736891378951298 ~1985
47371631136919139 ~1986
4737329378986338 ~1985
47374091136978179 ~1986
4737413284244798 ~1984
4737437378994978 ~1985
47374931421247919 ~1986
4737721284263278 ~1984
473773194754637 ~1983
4737907758065138 ~1985
4738003473800318 ~1985
4738289379063138 ~1985
47382892558676079
473840394768077 ~1983
4738451379076098 ~1985
473852394770477 ~1983
4738561284313678 ~1984
47391171137388099 ~1986
4739213284352798 ~1984
473927994785597 ~1983
473929194785837 ~1983
4739297284357838 ~1984
473936394787277 ~1983
4739717284383038 ~1984
473983194796637 ~1983
Exp. Prime Factor Digits Year
47399291137582979 ~1986
474002394800477 ~1983
47401931042842479 ~1986
474041994808397 ~1983
47404192370209519
4740499853289838 ~1985
4740521379241698 ~1985
47407271611847199 ~1986
474077994815597 ~1983
4741097379287778 ~1985
47413392749976639 ~1987
474146394829277 ~1983
47414831896593219 ~1986
4741559379324738 ~1985
4741733284503998 ~1984
4741813284508798 ~1984
474193194838637 ~1983
47420291422608719 ~1986
47420472276182579 ~1986
4742107758737138 ~1985
4742189379375138 ~1985
4742377284542638 ~1984
4742557758809138 ~1985
474260394852077 ~1983
47426811517657939 ~1986
Exp. Prime Factor Digits Year
4743197379455778 ~1985
47436231233341999 ~1986
47437018633535839 ~1988
4743821284629278 ~1984
474383994876797 ~1983
4744057284643438 ~1984
474416394883277 ~1983
474419994883997 ~1983
474433194886637 ~1983
474470394894077 ~1983
47447111992778639 ~1986
47450631518420179 ~1986
474542394908477 ~1983
47455391898215619 ~1986
4745707474570718 ~1985
4745849379667938 ~1985
47460175220618719 ~1987
4746041284762478 ~1984
4746149379691938 ~1985
4746173284770398 ~1984
474643194928637 ~1983
4746473284788398 ~1984
474680394936077 ~1983
4746821284809278 ~1984
4747033284821998 ~1984
658
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25-05-04