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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
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
474707994941597 ~1983
4747159474715918 ~1985
4747441284846478 ~1984
4747481379798498 ~1985
474767994953597 ~1983
474806394961277 ~1983
474817194963437 ~1983
4748207379856578 ~1985
474827994965597 ~1983
Exp. Prime Factor Digits Year
4748377284902638 ~1984
4748477284908638 ~1984
474848394969677 ~1983
474851994970397 ~1983
474853194970637 ~1983
474869994973997 ~1983
474913194982637 ~1983
4749179854852238 ~1985
474919194983837 ~1983
47491936743854079 ~1988
47492291899691619 ~1986
474926394985277 ~1983
4749299379943938 ~1985
4749557664937998 ~1985
4749571474957118 ~1985
474965994993197 ~1983
4749671379973698 ~1985
47496912754820799 ~1987
4749967474996718 ~1985
47499912754994799 ~1987
4750013665001838 ~1985
475010395002077 ~1983
4750217380017378 ~1985
4750373285022398 ~1984
475037995007597 ~1983
Exp. Prime Factor Digits Year
475043995008797 ~1983
475064395012877 ~1983
4751057285063438 ~1984
475123195024637 ~1983
4751237380098978 ~1985
47514791140354979 ~1986
4751641285098478 ~1984
4751849380147938 ~1985
4751917285115038 ~1984
4752089665292478 ~1985
4752247475224718 ~1985
475232395046477 ~1983
47524091425722719 ~1986
475243195048637 ~1983
4752551855459198 ~1985
47527391901095619 ~1986
475279195055837 ~1983
47528172281352179 ~1987
4752871855516798 ~1985
4753121285187278 ~1984
47536131426083919 ~1986
475364395072877 ~1983
475382395076477 ~1983
4753921285235278 ~1984
47539611521267539 ~1986
Exp. Prime Factor Digits Year
4754273285256398 ~1984
47542731426281919
47542872282057779 ~1987
47543571426307119 ~1986
47544291426328719 ~1986
4754437285266238 ~1984
4754549380363938 ~1985
47545514279095919 ~1987
475459195091837 ~1983
4754591380367298
47550132187305999 ~1986
4755137665719198 ~1985
475514395102877 ~1983
4755419380433538 ~1985
475547995109597 ~1983
475559995111997 ~1983
475579195115837 ~1983
4755857380468578 ~1985
475592395118477 ~1983
4755967475596718 ~1985
475634395126877 ~1983
475667995133597 ~1983
4756811856225998 ~1985
4756901285414078 ~1984
4757117380569378 ~1985
670
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25-09-07