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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
8546097612563829283111 ~2004
854613791683691032910 ~2002
854638079170927615910 ~2001
854642471170928494310 ~2001
854644061512786436710 ~2002
854645651170929130310 ~2001
854668571170933714310 ~2001
854687219170937443910 ~2001
854690003170938000710 ~2001
8547032331196584526311 ~2003
854716679170943335910 ~2001
854725139170945027910 ~2001
854726963170945392710 ~2001
854755871170951174310 ~2001
854789051170957810310 ~2001
854801663170960332710 ~2001
854804663170960932710 ~2001
854820563170964112710 ~2001
854821283170964256710 ~2001
854839343170967868710 ~2001
854864653512918791910 ~2002
8548915191538804734311 ~2003
854903411170980682310 ~2001
854914031170982806310 ~2001
854927077512956246310 ~2002
Exponent Prime Factor Digits Year
854932283170986456710 ~2001
85495953714363320221712 ~2005
855012311171002462310 ~2001
8550231711539041707911 ~2003
855028859171005771910 ~2001
855032891171006578310 ~2001
855035411171007082310 ~2001
855061391171012278310 ~2001
855082961513049776710 ~2002
855084203171016840710 ~2001
855085391171017078310 ~2001
855108539171021707910 ~2001
855146711171029342310 ~2001
855147851171029570310 ~2001
855155711171031142310 ~2001
855155891171031178310 ~2001
855167231684133784910 ~2002
855181673513109003910 ~2002
855182519171036503910 ~2001
855205121684164096910 ~2002
855230219171046043910 ~2001
855279611171055922310 ~2001
855307421513184452710 ~2002
855328897513197338310 ~2002
8553779091197529072711 ~2003
Exponent Prime Factor Digits Year
855416063171083212710 ~2001
855422537513253522310 ~2002
855433763171086752710 ~2001
85544825913858261795912 ~2005
855451703171090340710 ~2001
855464399171092879910 ~2001
855470249684376199310 ~2002
855511379171102275910 ~2001
855541679171108335910 ~2001
855586559171117311910 ~2001
8555929191540067254311 ~2003
8556176111540111699911 ~2003
855626279171125255910 ~2001
855632483171126496710 ~2001
855697079171139415910 ~2001
855702371171140474310 ~2001
8557074671540273440711 ~2003
855709919171141983910 ~2001
855726083171145216710 ~2001
855739397513443638310 ~2002
855741863171148372710 ~2001
855755699684604559310 ~2002
855790679171158135910 ~2001
855799151684639320910 ~2002
855822601513493560710 ~2002
Exponent Prime Factor Digits Year
855838283171167656710 ~2001
855840179171168035910 ~2001
8558487018729656750311 ~2005
855892853513535711910 ~2002
855907693513544615910 ~2002
855914219171182843910 ~2001
8559306291198302880711 ~2003
855934991171186998310 ~2001
855939803171187960710 ~2001
855943037513565822310 ~2002
855957491171191498310 ~2001
855974351684779480910 ~2002
855976853513586111910 ~2002
855992183171198436710 ~2001
856001963171200392710 ~2001
856042721684834176910 ~2002
856084511171216902310 ~2001
8561274711541029447911 ~2003
856161421513696852710 ~2002
856164059171232811910 ~2001
856181723171236344710 ~2001
856201163171240232710 ~2001
856210991171242198310 ~2001
8562266331198717286311 ~2003
856249379171249875910 ~2001
3641
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25-11-02