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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
22820351456407038 ~1988
228207975476991299 ~1991
22820951456419038 ~1988
22821203456424078 ~1988
22822223456444478 ~1988
22822259456445198 ~1988
228223671825789379 ~1990
22822643456452878 ~1988
22822799456455998 ~1988
22822991456459838 ~1988
22823459456469198 ~1988
22823519456470398 ~1988
22823711456474238 ~1988
228237291825898339 ~1990
228238131369428799 ~1990
22824239456484798 ~1988
22824311456486238 ~1988
22824731456494638 ~1988
228250371369502239 ~1990
228255475478131299 ~1991
228256671826053379 ~1990
22825739456514798 ~1988
22825937292171993710 ~1993
22826159456523198 ~1988
22826579456531598 ~1988
Exponent Prime Factor Digits Year
22826759456535198 ~1988
22826939456538798 ~1988
22827443456548878 ~1988
22827619351545332710 ~1993
228276531369659199 ~1990
22827803456556078 ~1988
22827839456556798 ~1988
22828391456567838 ~1988
22828499456569998 ~1988
22828763456575278 ~1988
22828919456578398 ~1988
228289611826316899 ~1990
22829819456596398 ~1988
22830011114150055110 ~1992
22830383456607678 ~1988
22830491456609838 ~1988
22830623456612478 ~1988
228307071826456579 ~1990
22831199456623998 ~1988
228312435479498339 ~1991
228313735479529539 ~1991
22831463456629278 ~1988
22831619456632398 ~1988
22833263456665278 ~1988
228336611370019679 ~1990
Exponent Prime Factor Digits Year
22833823219204700910 ~1993
228341693196783679 ~1991
22834271456685438 ~1988
228343671826749379 ~1990
228352573653641139 ~1991
22835759456715198 ~1988
228359592283595919 ~1990
228361931370171599 ~1990
22836503456730078 ~1988
228366371370198239 ~1990
22836743456734878 ~1988
228368391826947139 ~1990
22838411456768238 ~1988
228386119135444419 ~1992
22838771456775438 ~1988
22839059456781198 ~1988
228390591827124739
22839191456783838 ~1988
228399971370399839 ~1990
22840019456800398 ~1988
22840043456800878 ~1988
22840283456805678 ~1988
22840739456814798 ~1988
228409495481827779 ~1991
22841111456822238 ~1988
Exponent Prime Factor Digits Year
228412611370475679 ~1990
22841519456830398 ~1988
22841711456834238 ~1988
22841723456834478 ~1988
22841963456839278 ~1988
22842119456842398 ~1988
22842359456847198 ~1988
22842383456847678 ~1988
22842563456851278 ~1988
228425832284258319 ~1990
228428816852864319 ~1991
22842899456857998 ~1988
228433971370603839 ~1990
228439394111909039 ~1991
228440771370644639 ~1990
22844579456891598 ~1988
22844879456897598 ~1988
22845071456901438 ~1988
22845743456914878 ~1988
228459371370756239 ~1990
228461411370768479 ~1990
22846619456932398 ~1988
22847411456948238 ~1988
228478931370873599 ~1990
22847963456959278 ~1988
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25-04-13