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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
171379134275837 ~1980
1713791856895518
1713883171388318 ~1981
171421134284237 ~1980
1714241137139298 ~1981
1714327171432718 ~1981
171440334288077 ~1980
1714457102867438 ~1981
1714507274321138 ~1982
1714901102894078 ~1981
1714963171496318 ~1981
1715033102901998 ~1981
171503934300797 ~1980
1715047274407538 ~1982
1715117102907038 ~1981
1715167171516718 ~1981
171524334304877 ~1980
1715309240143278 ~1982
1715387446000638 ~1982
1715429240160078 ~1982
1715599308807838 ~1982
1715627308812878 ~1982
1715627960751138
1715717102943038 ~1981
1715717137257378
Exp. Prime Factor Digits Year
171572334314477 ~1980
1715729411774978 ~1982
171578334315677 ~1980
1715807308845278 ~1982
1715899583405678 ~1983
1716041137283298 ~1981
17160591544453119 ~1984
17161073020348339 ~1984
1716163274586098 ~1982
1716217102973038 ~1981
1716241274598578 ~1982
1716263411903138 ~1982
17163674805827619 ~1985
1716497102989838 ~1981
1716499411959778 ~1982
1716623446321998 ~1982
1716787309021678 ~1982
171679134335837 ~1980
1716797137343778 ~1981
1716893103013598 ~1981
1716931721111038 ~1983
171697134339437 ~1980
1717129927249678 ~1983
171713934342797 ~1980
1717139824226738
Exp. Prime Factor Digits Year
1717337412160898 ~1982
171737934347597 ~1980
1717379549561298
171745134349037 ~1980
1717553412212738 ~1982
17176031545842719 ~1984
1717739137419138 ~1981
1718011274881778 ~1982
171821934364397 ~1980
171829134365837 ~1980
1718293378024478 ~1982
1718701103122078 ~1981
1718707274993138 ~1982
1718723446867998 ~1982
1718723549991378
171877134375437 ~1980
1718923171892318 ~1981
171914334382877 ~1980
1719203446992798 ~1982
17192991960000879 ~1984
1719301103158078 ~1981
1719409928480878 ~1983
1719547275127538 ~1982
1719547309518478
1719551137564098 ~1981
Exp. Prime Factor Digits Year
17196471134967039 ~1983
1719701103182078 ~1981
17197011238184739
171971934394397 ~1980
1719749137579938 ~1981
1719967171996718 ~1981
17200571651254739 ~1984
1720157103209438 ~1981
1720217240830398 ~1982
1720517137641378 ~1981
172064334412877 ~1980
1720933103255998 ~1981
1720937137674978 ~1981
1720991309778398 ~1982
1721197516359118 ~1983
172124334424877 ~1980
1721299172129918 ~1981
172133934426797 ~1980
1721453103287198 ~1981
172154334430877 ~1980
172157934431597 ~1980
1721593688637218 ~1983
17215931205115119
1721729137738338 ~1981
1721729550953298
346
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25-04-13