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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
441043357264626014310 ~2000
441044743705671588910 ~2001
4410577198821154399 ~1998
441071473264642883910 ~2000
4410770998821541999 ~1998
4410863638821727279 ~1998
4411094518822189039 ~1998
441114281264668568710 ~2000
441117973264670783910 ~2000
4411245118822490239 ~1998
4411457038822914079 ~1998
4411466331058751919311 ~2001
4411469398822938799 ~1998
4411499398822998799 ~1998
4411543918823087839 ~1998
4411629838823259679 ~1998
4411722718823445439 ~1998
4411740598823481199 ~1998
441174103441174103110 ~2000
4411805398823610799 ~1998
4411811998823623999 ~1998
4411911838823823679 ~1998
441193411705909457710 ~2001
4411972798823945599 ~1998
4411985998823971999 ~1998
Exponent Prime Factor Digits Year
441218417352974733710 ~2000
4412264518824529039 ~1998
4412545918825091839 ~1998
4412578918825157839 ~1998
4412661598825323199 ~1998
4412661711853317918311 ~2002
4412745838825491679 ~1998
4412912998825825999 ~1998
441297827353038261710 ~2000
441307457353045965710 ~2000
441335647706137035310 ~2001
4413364198826728399 ~1998
441348977617888567910 ~2001
441355507441355507110 ~2000
441364697617910575910 ~2001
441409999794537998310 ~2001
4414271271147710530311 ~2001
4414392598828785199 ~1998
4414661998829323999 ~1998
4414666318829332639 ~1998
4414672918829345839 ~1998
4415102038830204079 ~1998
4415121718830243439 ~1998
441512927353210341710 ~2000
4415189998830379999 ~1998
Exponent Prime Factor Digits Year
4415245918830491839 ~1998
4415275438830550879 ~1999
4415483518830967039 ~1999
4415484238830968479 ~1999
441550133264930079910 ~2000
4415684998831369999 ~1999
441576721264946032710 ~2000
4415812798831625599 ~1999
4415827318831654639 ~1999
4415935211324780563111 ~2001
4415989918831979839 ~1999
4416115318832230639 ~1999
441615221264969132710 ~2000
4416253198832506399 ~1999
441627821264976692710 ~2000
441630971353304776910 ~2000
4416348598832697199 ~1999
441651137264990682310 ~2000
4416512398833024799 ~1999
4416518518833037039 ~1999
4416553918833107839 ~1999
441664057264998434310 ~2000
4416710638833421279 ~1999
4417050598834101199 ~1999
4417404238834808479 ~1999
Exponent Prime Factor Digits Year
441741037265044622310 ~2000
4417799518835599039 ~1999
4417894318835788639 ~1999
4417948198835896399 ~1999
4417964038835928079 ~1999
441818297265090978310 ~2000
4418253118836506239 ~1999
4418528638837057279 ~1999
4418583838837167679 ~1999
4418667598837335199 ~1999
4418740198837480399 ~1999
441881093265128655910 ~2000
4419040318838080639 ~1999
4419086518838173039 ~1999
4419111598838223199 ~1999
4419168238838336479 ~1999
4419266518838533039 ~1999
4419278518838557039 ~1999
4419345838838691679 ~1999
4419432838838865679 ~1999
4419437398838874799 ~1999
441956617265173970310 ~2000
441979081707166529710 ~2001
4420372438840744879 ~1999
4420550991060932237711 ~2001
3117
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25-04-13