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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
4185544318371088639 ~1998
4185889318371778639 ~1998
418600453251160271910 ~1999
4186086118372172239 ~1998
4186206111088413588711 ~2001
4186268398372536799 ~1998
4186311598372623199 ~1998
4186446838372893679 ~1998
4186447318372894639 ~1998
4186578598373157199 ~1998
418663171418663171110 ~2000
418671179334936943310 ~2000
418717147753690864710 ~2001
4187242798374485599 ~1998
4187457118374914239 ~1998
4187514238375028479 ~1998
418760681335008544910 ~2000
4187850718375701439 ~1998
4187916838375833679 ~1998
418793737251276242310 ~1999
418804697251282818310 ~1999
418822841251293704710 ~1999
418831913251299147910 ~1999
4188359032345481056911 ~2002
4188487093015710704911 ~2002
Exponent Prime Factor Digits Year
4188516238377032479 ~1998
418861813251317087910 ~1999
4188693238377386479 ~1998
4188697198377394399 ~1998
418871617251322970310 ~1999
4188781918377563839 ~1998
4188791998377583999 ~1998
418880521921537146310 ~2001
418887277251332366310 ~1999
418903993251342395910 ~1999
4189111318378222639 ~1998
4189121398378242799 ~1998
4189158238378316479 ~1998
4189178398378356799 ~1998
4189292398378584799 ~1998
4189315438378630879 ~1998
4189331038378662079 ~1998
4189397398378794799 ~1998
418944809586522732710 ~2000
4189491718378983439 ~1998
4189498318378996639 ~1998
418971073251382643910 ~1999
418980817251388490310 ~1999
418984651418984651110 ~2000
4189885438379770879 ~1998
Exponent Prime Factor Digits Year
418993319335194655310 ~2000
4190074198380148399 ~1998
419013659335210927310 ~2000
4190243638380487279 ~1998
4190455318380910639 ~1998
4190575438381150879 ~1998
419059337251435602310 ~1999
419061037251436622310 ~1999
4190635877040268261711 ~2003
4190701918381403839 ~1998
419080637335264509710 ~2000
4191022918382045839 ~1998
419106283419106283110 ~2000
4191146391005875133711 ~2001
4191280438382560879 ~1998
419131913251479147910 ~1999
419133497251480098310 ~1999
4191366718382733439 ~1998
419137111670619377710 ~2001
4191445918382891839 ~1998
4191579718383159439 ~1998
4191612838383225679 ~1998
4191671531257501459111 ~2001
4191677398383354799 ~1998
4191695398383390799 ~1998
Exponent Prime Factor Digits Year
4191714718383429439 ~1998
4191751438383502879 ~1998
4191758998383517999 ~1998
4191789718383579439 ~1998
4191805798383611599 ~1998
419186377670698203310 ~2001
419193209335354567310 ~2000
419213141251527884710 ~1999
4192274998384549999 ~1998
4192466998384933999 ~1998
4192613518385227039 ~1998
419261519335409215310 ~2000
4192705212012498500911 ~2002
4192722197043773279311 ~2003
419273333251563999910 ~1999
4192771918385543839 ~1998
419286337670858139310 ~2001
4192989598385979199 ~1998
4193097838386195679 ~1998
4193115238386230479 ~1998
4193119798386239599 ~1998
4193206198386412399 ~1998
4193379118386758239 ~1998
419337953251602771910 ~1999
4194243718388487439 ~1998
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25-04-13