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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
765116279153023255910 ~2000
7651282391836307773711 ~2003
765132673459079603910 ~2002
765144311153028862310 ~2000
765152519153030503910 ~2000
765168851153033770310 ~2000
7651694172295508251111 ~2003
765190379153038075910 ~2000
765204131153040826310 ~2000
765212351153042470310 ~2000
765228749612182999310 ~2002
7652308871224369419311 ~2003
765245519612196415310 ~2002
765250537459150322310 ~2002
765281339153056267910 ~2000
765306359153061271910 ~2000
765318419153063683910 ~2000
765348191153069638310 ~2000
765356759153071351910 ~2000
765357503153071500710 ~2000
765377219153075443910 ~2000
765414997459248998310 ~2002
765430199153086039910 ~2000
765481583153096316710 ~2000
7654839771071677567911 ~2002
Exponent Prime Factor Digits Year
765498131153099626310 ~2000
765500423153100084710 ~2000
765500893459300535910 ~2002
765589151153117830310 ~2000
7655964771071835067911 ~2002
765603719153120743910 ~2000
765612437459367462310 ~2002
765613223153122644710 ~2000
7656236534899991379311 ~2004
765636731153127346310 ~2000
765641771153128354310 ~2000
765657479153131495910 ~2000
765687179153137435910 ~2000
765689999153137999910 ~2000
765722663153144532710 ~2000
765738371153147674310 ~2000
765740293459444175910 ~2002
765753119153150623910 ~2000
765789179153157835910 ~2000
765802403153160480710 ~2000
765846299153169259910 ~2000
765867077612693661710 ~2002
765874019153174803910 ~2000
765880061459528036710 ~2002
765899191765899191110 ~2002
Exponent Prime Factor Digits Year
765918539153183707910 ~2000
765933611612746888910 ~2002
765951757459571054310 ~2002
765955919153191183910 ~2000
765978623153195724710 ~2000
7659885771072384007911 ~2002
766007383766007383110 ~2002
766041011153208202310 ~2000
766045979153209195910 ~2000
766047413459628447910 ~2002
766048163153209632710 ~2000
766056209612844967310 ~2002
766096223153219244710 ~2000
766112279153222455910 ~2000
766113863153222772710 ~2000
766124819153224963910 ~2000
766140863153228172710 ~2000
766142099153228419910 ~2000
766179143153235828710 ~2000
766226963153245392710 ~2000
766236287612989029710 ~2002
766238831153247766310 ~2000
766293779153258755910 ~2000
766296299153259259910 ~2000
766302001459781200710 ~2002
Exponent Prime Factor Digits Year
766331543153266308710 ~2000
766338899153267779910 ~2000
766350083153270016710 ~2000
766405751153281150310 ~2000
766416071153283214310 ~2000
766450571153290114310 ~2000
766476239153295247910 ~2000
766480259153296051910 ~2000
766486271153297254310 ~2000
766511717459907030310 ~2002
766576991153315398310 ~2000
766580459153316091910 ~2000
766627619153325523910 ~2000
766632599153326519910 ~2000
766636319153327263910 ~2000
766638503153327700710 ~2000
766655663153331132710 ~2000
7666803774293410111311 ~2004
766683503153336700710 ~2000
766684907613347925710 ~2002
766720943153344188710 ~2000
766748051153349610310 ~2000
766749721460049832710 ~2002
766775543153355108710 ~2000
766869263153373852710 ~2000
3349
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25-04-13