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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
40010543800210878 ~1990
400110676401770739 ~1993
40011299800225998 ~1990
40011479800229598 ~1990
40011623800232478 ~1990
40014083800281678 ~1990
400146972400881839 ~1992
40015091800301838 ~1990
40016891800337838 ~1990
400173012401038079 ~1992
40017671800353438 ~1990
40018031800360638 ~1990
40018703800374078 ~1990
400194076403105139 ~1993
40019939800398798 ~1990
40020443800408878 ~1990
40020731800414638 ~1990
400208095602913279 ~1992
400208099604994179
40021259800425198 ~1990
400219732401318399 ~1992
400225034002250319 ~1992
40022903800458078 ~1990
40023143800462878 ~1990
40023551800471038 ~1990
Exponent Prime Factor Digits Year
400244234002442319 ~1992
400261973202095779 ~1992
400284772401708639 ~1992
40029851800597038 ~1990
400304213202433699 ~1992
400305916404894579 ~1993
400310291337036368711 ~1996
40031279800625598 ~1990
40031363800627278 ~1990
400321013202568099 ~1992
400333732402002399 ~1992
400339516405432179 ~1993
40034231800684638 ~1990
40034399800687998 ~1990
400352712634320831911 ~1997
40035371800707438 ~1990
400355093202840739 ~1992
400355993202847939 ~1992
40036091800721838 ~1990
400368612402211679 ~1992
400373599608966179 ~1993
40037831800756638 ~1990
40038191800763838 ~1990
40039801120119403110 ~1993
40040411800808238 ~1990
Exponent Prime Factor Digits Year
40041983800839678 ~1990
40042043800840878 ~1990
40042631800852638 ~1990
40044083800881678 ~1990
40044131800882638 ~1990
40044479800889598 ~1990
400445273203562179 ~1992
40044743800894878 ~1990
400459193203673539 ~1992
400460513203684099 ~1992
40046579800931598 ~1990
400474732402848399 ~1992
40048199800963998 ~1990
400488732402932399 ~1992
40049063800981278 ~1990
40049231800984638 ~1990
40049591800991838 ~1990
400514212403085279 ~1992
40052423801048478 ~1990
40052951801059038 ~1990
400534073204272579 ~1992
40053551801071038 ~1990
40053659801073198 ~1990
400555013204440099 ~1992
40057837120173511110 ~1993
Exponent Prime Factor Digits Year
40058591801171838 ~1990
40063139801262798 ~1990
40064033224358584910 ~1994
400647076410353139 ~1993
40064963801299278 ~1990
40065359801307198 ~1990
40066751801335038 ~1990
40067459801349198 ~1990
40067999801359998 ~1990
40069031801380638 ~1990
400698593205588739 ~1992
400712812404276879 ~1992
40071413408728412710 ~1995
40074539801490798 ~1990
40074791801495838 ~1990
40075583801511678 ~1990
40075979801519598 ~1990
40075991801519838 ~1990
400762877213731679 ~1993
400765936412254899 ~1993
400785895611002479 ~1992
400798493206387939 ~1992
40080863801617278 ~1990
400813193206505539 ~1992
40082831801656638 ~1990
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25-04-13