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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
4372403398744806799 ~1999
4372415511836414514311 ~2002
437252021262351212710 ~2000
4372595518745191039 ~1999
4372747918745495839 ~1999
4372888438745776879 ~1999
4373010718746021439 ~1999
437306141262383684710 ~2000
4373125918746251839 ~1999
437317481262390488710 ~2000
4373294998746589999 ~1999
4373368438746736879 ~1999
4373374318746748639 ~1999
4373531398747062799 ~1999
437353201262411920710 ~2000
4373555998747111999 ~1999
4373687471487053739911 ~2002
4373693518747387039 ~1999
4373817838747635679 ~1999
4373825638747651279 ~1999
437383873262430323910 ~2000
4373950438747900879 ~1999
4374068998748137999 ~1999
4374239638748479279 ~1999
437432129612404980710 ~2001
Exponent Prime Factor Digits Year
4374324838748649679 ~1999
4374402598748805199 ~1999
4374672238749344479 ~1999
4374698638749397279 ~1999
437481089349984871310 ~2000
4374937798749875599 ~1999
437527661262516596710 ~2000
4375307398750614799 ~1999
4375307638750615279 ~1999
437549921262529952710 ~2000
4375517998751035999 ~1999
4375539591050129501711 ~2001
4375540318751080639 ~1999
4375572598751145199 ~1999
437568127787622628710 ~2001
4375694038751388079 ~1999
437576443437576443110 ~2000
437600827437600827110 ~2000
4376096638752193279 ~1999
4376146438752292879 ~1999
4376162518752325039 ~1999
437616457262569874310 ~2000
4376329918752659839 ~1999
4376378998752757999 ~1999
4376387038752774079 ~1999
Exponent Prime Factor Digits Year
4376467918752935839 ~1999
4376622598753245199 ~1999
4376698918753397839 ~1999
4376701198753402399 ~1999
437676461262605876710 ~2000
437678317262606990310 ~2000
4376816038753632079 ~1999
4376903398753806799 ~1999
4377007091050481701711 ~2001
43770128310242210022312 ~2004
4377059518754119039 ~1999
4377155638754311279 ~1999
4377214198754428399 ~1999
437757641262654584710 ~2000
4377642772101268529711 ~2002
4377711238755422479 ~1999
437783443700453508910 ~2001
4378011838756023679 ~1999
437820029350256023310 ~2000
437830397262698238310 ~2000
437835389350268311310 ~2000
4378380598756761199 ~1999
437840017262704010310 ~2000
4378649518757299039 ~1999
4378662238757324479 ~1999
Exponent Prime Factor Digits Year
4378767118757534239 ~1999
437886569350309255310 ~2000
437889073262733443910 ~2000
4379096518758193039 ~1999
4379151118758302239 ~1999
4379184838758369679 ~1999
4379235118758470239 ~1999
437933939350347151310 ~2000
4379379472102102145711 ~2002
4379512198759024399 ~1999
437951461262770876710 ~2000
437975767700761227310 ~2001
4379795998759591999 ~1999
4379823238759646479 ~1999
4379901838759803679 ~1999
4380076318760152639 ~1999
4380097918760195839 ~1999
4380155038760310079 ~1999
4380173518760347039 ~1999
4380207838760415679 ~1999
438028421350422736910 ~2000
4380317398760634799 ~1999
4380350518760701039 ~1999
4380358918760717839 ~1999
4380414598760829199 ~1999
3438
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26-02-08