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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
421066601336853280910 ~2000
421075079336860063310 ~2000
4210913998421827999 ~1998
4211015638422031279 ~1998
4211081518422163039 ~1998
421126897252676138310 ~2000
4211369518422739039 ~1998
4211398918422797839 ~1998
4211551318423102639 ~1998
421161959336929567310 ~2000
4211621418002080679111 ~2003
421167221252700332710 ~2000
421185439421185439110 ~2000
4211951398423902799 ~1998
4212099238424198479 ~1998
4212165118424330239 ~1998
4212367198424734399 ~1998
4212390238424780479 ~1998
4212548638425097279 ~1998
4212614998425229999 ~1998
4212734038425468079 ~1998
4212857518425715039 ~1998
421287359337029887310 ~2000
421297931337038344910 ~2000
421324157337059325710 ~2000
Exponent Prime Factor Digits Year
4213254238426508479 ~1998
4213414198426828399 ~1998
4213454398426908799 ~1998
4213494591011238701711 ~2001
4213545238427090479 ~1998
4213570318427140639 ~1998
4213750438427500879 ~1998
4214013718428027439 ~1998
4214046718428093439 ~1998
4214107198428214399 ~1998
421415257252849154310 ~2000
4214301838428603679 ~1998
4214358238428716479 ~1998
421440157252864094310 ~2000
4214440918428881839 ~1998
421446197252867718310 ~2000
421447667337158133710 ~2000
4214485918428971839 ~1998
421450853252870511910 ~2000
4214624518429249039 ~1998
421476113252885667910 ~2000
421478891337183112910 ~2000
4214817718429635439 ~1998
4214833731011560095311 ~2001
4214859238429718479 ~1998
Exponent Prime Factor Digits Year
4214974671095893414311 ~2001
4215002518430005039 ~1998
4215008518430017039 ~1998
4215051598430103199 ~1998
4215136198430272399 ~1998
4215178798430357599 ~1998
4215239518430479039 ~1998
4215243718430487439 ~1998
4215311811348899779311 ~2001
4215338638430677279 ~1998
4215514918431029839 ~1998
4215662518431325039 ~1998
421567297252940378310 ~2000
421584799421584799110 ~2000
4215852791686341116111 ~2002
4216013295059215948111 ~2003
4216084318432168639 ~1998
4216135798432271599 ~1998
4216166395059399668111 ~2003
4216267037757931335311 ~2003
4216359718432719439 ~1998
421650161337320128910 ~2000
4216505038433010079 ~1998
421667327759001188710 ~2001
421676441253005864710 ~2000
Exponent Prime Factor Digits Year
421677541253006524710 ~2000
4216862638433725279 ~1998
4217060398434120799 ~1998
4217105398434210799 ~1998
4217123038434246079 ~1998
421715081253029048710 ~2000
4217157718434315439 ~1998
421736857253042114310 ~2000
4217397118434794239 ~1998
4217576038435152079 ~1998
4217601598435203199 ~1998
421763491759174283910 ~2001
4217642411687056964111 ~2002
4217725318435450639 ~1998
4217836438435672879 ~1998
421798561927956834310 ~2001
4218001438436002879 ~1998
4218003718436007439 ~1998
421802561253081536710 ~2000
421815089337452071310 ~2000
4218280198436560399 ~1998
4218402838436805679 ~1998
4218444598436889199 ~1998
421848397674957435310 ~2001
421863151759353671910 ~2001
3187
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25-07-08