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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
749741031499482079 ~1992
749742831499485679 ~1992
749764375998114979 ~1994
749766231499532479 ~1992
749773675998189379 ~1994
749789031499578079 ~1992
749800431499600879 ~1992
749834391499668799 ~1992
749862111499724239 ~1992
74986273119978036910 ~1995
749882991499765999 ~1992
749932795999462339 ~1994
749938191499876399 ~1992
750002876000022979 ~1994
75002749585021442310 ~1996
750031974500191839 ~1994
750055311500110639 ~1992
75007739540055720910 ~1996
750078111500156239 ~1992
750082431500164879 ~1992
750121014500726079 ~1994
750137031500274079 ~1992
750142871935368604711 ~1998
750152516001220099 ~1994
750164391500328799 ~1992
Exponent Prime Factor Digits Year
750172316001378499 ~1994
750187311500374639 ~1992
750228231500456479 ~1992
750236391500472799 ~1992
750240111500480239 ~1992
750246711500493439 ~1992
750262974501577839 ~1994
750296391500592799 ~1992
750304911500609839 ~1992
750311391500622799 ~1992
750329991500659999 ~1992
750336831500673679 ~1992
75034051315143014310 ~1996
75034123180081895310 ~1995
750343916002751299 ~1994
750354831500709679 ~1992
75035899540258472910 ~1996
750371391500742799 ~1992
750372711500745439 ~1992
750413991500827999 ~1992
750420591500841199 ~1992
750438774502632639 ~1994
75044603180107047310 ~1995
750465711500931439 ~1992
750496037504960319 ~1994
Exponent Prime Factor Digits Year
750506031501012079 ~1992
75052801300211204110 ~1996
750533991501067999 ~1992
750549711501099439 ~1992
750569391501138799 ~1992
750580191501160399 ~1992
750600591501201199 ~1992
750608511501217039 ~1992
75061993120099188910 ~1995
750632214503793279 ~1994
750687711501375439 ~1992
750698814504192879 ~1994
750700431501400879 ~1992
750715191501430399 ~1992
750717831081033675311 ~1997
750733311501466639 ~1992
75075911135136639910 ~1995
75076033120121652910 ~1995
75076873120122996910 ~1995
750794511501589039 ~1992
750851511501703039 ~1992
750879231501758479 ~1992
750883191501766399 ~1992
750892191501784399 ~1992
750897831501795679 ~1992
Exponent Prime Factor Digits Year
750949791501899599 ~1992
751002974506017839 ~1994
751018911502037839 ~1992
751035476008283779 ~1994
751052631502105279 ~1992
751054791502109599 ~1992
751060191502120399 ~1992
75107119135192814310 ~1995
75108331120173329710 ~1995
751095711502191439 ~1992
751096334506577999 ~1994
751097334506583999 ~1994
751101437511014319 ~1994
751105311502210639 ~1992
751112511502225039 ~1992
751115631502231279 ~1992
751139991502279999 ~1992
751147134506882799 ~1994
751185831502371679 ~1992
751207911502415839 ~1992
751214991502429999 ~1992
751224231502448479 ~1992
751253391502506799 ~1992
751264311502528639 ~1992
751267431502534879 ~1992
2295
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25-06-08