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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
509530121407624096910 ~2000
509539571101907914310 ~1999
509549171101909834310 ~1999
509551597305730958310 ~2000
5095678932038271572111 ~2002
509586817305752090310 ~2000
509589149713424808710 ~2001
509623511101924702310 ~1999
509626441305775864710 ~2000
509659019101931803910 ~1999
509662343101932468710 ~1999
509676059101935211910 ~1999
509682359101936471910 ~1999
509703143101940628710 ~1999
509714171101942834310 ~1999
509715191101943038310 ~1999
509717671815548273710 ~2001
509733239101946647910 ~1999
509756473305853883910 ~2000
509757623101951524710 ~1999
509777519101955503910 ~1999
5097962112039184844111 ~2002
509823131101964626310 ~1999
509832623101966524710 ~1999
509866859101973371910 ~1999
Exponent Prime Factor Digits Year
509880977713833367910 ~2001
509897539917815570310 ~2001
509917511101983502310 ~1999
5099290518260850626311 ~2004
509936201305961720710 ~2000
509953799101990759910 ~1999
5099768691937912102311 ~2002
509987111101997422310 ~1999
509988971101997794310 ~1999
510008651102001730310 ~1999
510021899102004379910 ~1999
510047771102009554310 ~1999
510053239510053239110 ~2001
5100583132754314890311 ~2003
5100631392142265183911 ~2002
510069299102013859910 ~1999
5100846372040338548111 ~2002
510103703102020740710 ~1999
510109097408087277710 ~2000
510110173306066103910 ~2000
510126923102025384710 ~1999
510127907408102325710 ~2000
510140531102028106310 ~1999
510156299102031259910 ~1999
510170933306102559910 ~2000
Exponent Prime Factor Digits Year
510179693306107815910 ~2000
510192533306115519910 ~2000
510197393306118435910 ~2000
510216191102043238310 ~1999
510217451102043490310 ~1999
510221477408177181710 ~2000
510223453306134071910 ~2000
510228899102045779910 ~1999
510245083510245083110 ~2001
510254621306152772710 ~2000
510258821306155292710 ~2000
510282131102056426310 ~1999
510288203102057640710 ~1999
510304799102060959910 ~1999
510312059102062411910 ~1999
510318217306190930310 ~2000
510331421408265136910 ~2000
510337211102067442310 ~1999
5103411072041364428111 ~2002
510345623102069124710 ~1999
510353939102070787910 ~1999
5103612192449733851311 ~2002
510367883102073576710 ~1999
510368819102073763910 ~1999
510401399102080279910 ~1999
Exponent Prime Factor Digits Year
510411983102082396710 ~1999
510417797408334237710 ~2000
510423887408339109710 ~2000
510428783102085756710 ~1999
510444881306266928710 ~2000
510461123102092224710 ~1999
510464639102092927910 ~1999
510477491102095498310 ~1999
510510131102102026310 ~1999
510512459102102491910 ~1999
510540799510540799110 ~2001
510546143102109228710 ~1999
510549773306329863910 ~2000
510552599102110519910 ~1999
510553619102110723910 ~1999
510554039102110807910 ~1999
510556573306333943910 ~2000
510592751408474200910 ~2000
510604513306362707910 ~2000
510659003102131800710 ~1999
510664459510664459110 ~2001
510678071102135614310 ~1999
510687659102137531910 ~1999
510692993306415795910 ~2000
510707831102141566310 ~1999
3202
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25-05-04