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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
4413364198826728399 ~1999
441337801264802680710 ~2000
441348977617888567910 ~2001
441355507441355507110 ~2000
441364697617910575910 ~2001
441409999794537998310 ~2001
4414271271147710530311 ~2001
4414392598828785199 ~1999
4414661998829323999 ~1999
4414666318829332639 ~1999
4414672918829345839 ~1999
441484699441484699110 ~2000
441487537706380059310 ~2001
4415102038830204079 ~1999
4415121718830243439 ~1999
441512927353210341710 ~2000
4415189998830379999 ~1999
4415245918830491839 ~1999
44152697331083498899312 ~2005
4415275438830550879 ~1999
4415483518830967039 ~1999
4415484238830968479 ~1999
441550133264930079910 ~2000
4415681998831363999 ~1999
4415684998831369999 ~1999
Exponent Prime Factor Digits Year
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
4416812038833624079 ~1999
4417050598834101199 ~1999
4417404238834808479 ~1999
441741037265044622310 ~2000
4417799518835599039 ~1999
4417894318835788639 ~1999
4417948198835896399 ~1999
4417964038835928079 ~1999
Exponent Prime Factor Digits Year
441818297265090978310 ~2000
4418253118836506239 ~1999
4418528638837057279 ~1999
4418583838837167679 ~1999
4418667598837335199 ~1999
4418740198837480399 ~1999
441881093265128655910 ~2000
4419006718838013439 ~1999
4419040318838080639 ~1999
4419086518838173039 ~1999
4419111598838223199 ~1999
4419168238838336479 ~1999
4419266518838533039 ~1999
4419278518838557039 ~1999
4419345838838691679 ~1999
4419432838838865679 ~1999
4419437398838874799 ~1999
441956617265173970310 ~2000
441979081707166529710 ~2001
4419811198839622399 ~1999
442037117353629693710 ~2000
4420372438840744879 ~1999
4420550991060932237711 ~2001
4420648798841297599 ~1999
442075919353660735310 ~2000
Exponent Prime Factor Digits Year
4420855198841710399 ~1999
4420923838841847679 ~1999
4420931638841863279 ~1999
4421199718842399439 ~1999
4421445411414862531311 ~2001
4421531777074450832111 ~2003
4421561038843122079 ~1999
4421619838843239679 ~1999
4421642518843285039 ~1999
4421738398843476799 ~1999
4421852518843705039 ~1999
4422006118844012239 ~1999
4422034318844068639 ~1999
442203481265322088710 ~2000
4422121491680406166311 ~2002
442218779353775023310 ~2000
442221653265332991910 ~2000
4422317398844634799 ~1999
4422317638844635279 ~1999
4422571318845142639 ~1999
442257371353805896910 ~2000
4422635398845270799 ~1999
442267289353813831310 ~2000
4422699838845399679 ~1999
442322977265393786310 ~2000
3224
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25-07-20