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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
3003821516007643039 ~1997
3003823316007646639 ~1997
3003904796007809599 ~1997
300396793180238075910 ~1998
3003985196007970399 ~1997
3004006436008012879 ~1997
300402853180241711910 ~1998
3004095236008190479 ~1997
300412501180247500710 ~1998
3004193636008387279 ~1997
300424721180254832710 ~1998
30042677926737983331112 ~2004
300429223300429223110 ~1999
3004311711502155855111 ~2001
3004347236008694479 ~1997
300440599300440599110 ~1999
3004425291862743679911 ~2001
3004566836009133679 ~1997
3004819911682699149711 ~2001
300482921240386336910 ~1999
300485477240388381710 ~1999
3005021516010043039 ~1997
300504613180302767910 ~1998
300507587240406069710 ~1999
300511903300511903110 ~1999
Exponent Prime Factor Digits Year
3005174636010349279 ~1997
3005244596010489199 ~1997
3005267036010534079 ~1997
3005272331382425271911 ~2001
300541781240433424910 ~1999
300542899300542899110 ~1999
300547523721314055310 ~2000
300552997180331798310 ~1998
3005699036011398079 ~1997
300581371541046467910 ~2000
30058735131020614623312 ~2004
3005992916011985839 ~1997
300612341240489872910 ~1999
3006183716012367439 ~1997
3006211796012423599 ~1997
3006285716012571439 ~1997
300646007240516805710 ~1999
3006522116013044239 ~1997
3006603236013206479 ~1997
3006652032164789461711 ~2001
3006742196013484399 ~1997
3006824636013649279 ~1997
3006904796013809599 ~1997
3006911516013823039 ~1997
3006918236013836479 ~1997
Exponent Prime Factor Digits Year
3007082516014165039 ~1997
300732787721758688910 ~2000
3007437596014875199 ~1997
3007496996014993999 ~1997
3007526036015052079 ~1997
3007533116015066239 ~1997
3007593116015186239 ~1997
300759653180455791910 ~1998
300760697180456418310 ~1998
3007639436015278879 ~1997
3007676516015353039 ~1997
3007775636015551279 ~1997
3007796636015593279 ~1997
3007884011383626644711 ~2001
300790951300790951110 ~1999
3007949516015899039 ~1997
300794987782066966310 ~2000
3008004116016008239 ~1997
3008073596016147199 ~1997
3008157596016315199 ~1997
3008158436016316879 ~1997
300823951300823951110 ~1999
3008403116016806239 ~1997
3008559596017119199 ~1997
3008560436017120879 ~1997
Exponent Prime Factor Digits Year
3008569436017138879 ~1997
3008570996017141999 ~1997
3008724596017449199 ~1997
300882697180529618310 ~1998
3008859716017719439 ~1997
3008944916017889839 ~1997
300899047300899047110 ~1999
3009065636018131279 ~1997
3009091796018183599 ~1997
3009146996018293999 ~1997
3009303596018607199 ~1997
300939131240751304910 ~1999
300955381180573228710 ~1998
3009570716019141439 ~1997
3009695031264071912711 ~2000
300976253180585751910 ~1998
3009818396019636799 ~1997
3009820916019641839 ~1997
3009825671986484942311 ~2001
300982741180589644710 ~1998
300983797180590278310 ~1998
300985621180591372710 ~1998
3009923396019846799 ~1997
3010015316020030639 ~1997
301017653180610591910 ~1998
2966
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25-05-04