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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
4603035239206070479 ~1999
4603049519206099039 ~1999
4603142519206285039 ~1999
460347841276208704710 ~2000
460351963460351963110 ~2000
4603543199207086399 ~1999
460360211368288168910 ~2000
4603648439207296879 ~1999
4603707971104889912911 ~2001
460378441276227064710 ~2000
4603947239207894479 ~1999
4604022599208045199 ~1999
4604114039208228079 ~1999
4604183519208367039 ~1999
4604322119208644239 ~1999
460438529368350823310 ~2000
4604437199208874399 ~1999
4604487719208975439 ~1999
4604728799209457599 ~1999
4605036239210072479 ~1999
4605243719210487439 ~1999
4605458039210916079 ~1999
460548931460548931110 ~2000
4605495491013209007911 ~2001
4605595799211191599 ~1999
Exponent Prime Factor Digits Year
4605618371105348408911 ~2001
4605745199211490399 ~1999
4605998039211996079 ~1999
4606114799212229599 ~1999
4606130399212260799 ~1999
4606219799212439599 ~1999
460634561368507648910 ~2000
4606355039212710079 ~1999
460669423460669423110 ~2000
460694453276416671910 ~2000
4606957319213914639 ~1999
4607106839214213679 ~1999
460714313645000038310 ~2001
460747817276448690310 ~2000
4607791319215582639 ~1999
4607849639215699279 ~1999
4607900519215801039 ~1999
4608216719216433439 ~1999
4608328199216656399 ~1999
4608419639216839279 ~1999
4608468119216936239 ~1999
460856653276513991910 ~2000
4608654599217309199 ~1999
4608739439217478879 ~1999
4608950039217900079 ~1999
Exponent Prime Factor Digits Year
4609119119218238239 ~1999
4609218239218436479 ~1999
460925581276555348710 ~2000
4609384799218769599 ~1999
460957381276574428710 ~2000
4609612799219225599 ~1999
4609640519219281039 ~1999
4609661399219322799 ~1999
4609721999219443999 ~1999
4609749119219498239 ~1999
4609793999219587999 ~1999
4609822799219645599 ~1999
460989757276593854310 ~2000
461025881368820704910 ~2000
461026931368821544910 ~2000
4610371199220742399 ~1999
461037953276622771910 ~2000
4610422439220844879 ~1999
4610451119220902239 ~1999
4610496431844198572111 ~2002
4610607119221214239 ~1999
461070901276642540710 ~2000
4610984999221969999 ~1999
4611082012582205925711 ~2002
4611116999222233999 ~1999
Exponent Prime Factor Digits Year
461120669368896535310 ~2000
4611316319222632639 ~1999
4611347639222695279 ~1999
4611349919222699839 ~1999
4611371999222743999 ~1999
4611383999222767999 ~1999
4611893039223786079 ~1999
4612031399224062799 ~1999
4612070039224140079 ~1999
4612284599224569199 ~1999
4612347839224695679 ~1999
4612420919224841839 ~1999
4612610639225221279 ~1999
4612644239225288479 ~1999
461267777276760666310 ~2000
4612692239225384479 ~1999
461283841276770304710 ~2000
4612868773598037640711 ~2003
4612921799225843599 ~1999
4612961639225923279 ~1999
4613063999226127999 ~1999
4613112239226224479 ~1999
4613447399226894799 ~1999
4613556239227112479 ~1999
4613686799227373599 ~1999
3158
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25-05-04