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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
2578206835156413679 ~1997
2578313035156626079 ~1997
257834881154700928710 ~1998
257840669773522007110 ~2000
257848453154709071910 ~1998
2578496395156992799 ~1997
2578656235157312479 ~1997
2578679035157358079 ~1997
2578690915157381839 ~1997
257874527206299621710 ~1998
2578854835157709679 ~1997
2578891435157782879 ~1997
257892697154735618310 ~1998
2579012515158025039 ~1997
2579083315158166639 ~1997
2579133715158267439 ~1997
2579287915158575839 ~1997
2579358715158717439 ~1997
2579457115158914239 ~1997
2579514835159029679 ~1997
2579538595159077199 ~1997
2579614435159228879 ~1997
2579739835159479679 ~1997
2579791915159583839 ~1997
257983513567563728710 ~1999
Exponent Prime Factor Digits Year
257988713361184198310 ~1999
2579940835159881679 ~1997
2580038995160077999 ~1997
2580071035160142079 ~1997
2580075115160150239 ~1997
258008797154805278310 ~1998
2580098871238447457711 ~2000
2580155035160310079 ~1997
2580200231032080092111 ~2000
2580216115160432239 ~1997
258021611206417288910
2580218395160436799 ~1997
258027113361237958310 ~1999
2580271315160542639 ~1997
258029173154817503910 ~1998
258042077154825246310 ~1998
258042413154825447910 ~1998
258042943258042943110 ~1998
2580441835160883679 ~1997
258058433361281806310 ~1999
2580597835161195679 ~1997
2580627235161254479 ~1997
2580647995161295999 ~1997
2580804115161608239 ~1997
258090643258090643110 ~1998
Exponent Prime Factor Digits Year
2580928195161856399 ~1997
258093299206474639310 ~1998
258100877154860526310 ~1998
2581015795162031599 ~1997
258110719464599294310 ~1999
2581120315162240639 ~1997
2581125595162251199 ~1997
258112817206490253710 ~1998
2581307395162614799 ~1997
258132481154879488710 ~1998
2581363795162727599 ~1997
2581384315162768639 ~1997
2581423435162846879 ~1997
2581427995162855999 ~1997
258148739206518991310 ~1998
2581506115163012239 ~1997
2581507315163014639 ~1997
2581604395163208799 ~1997
258162371206529896910 ~1998
2581646395163292799 ~1997
258164833154898899910 ~1998
258167369619601685710 ~1999
2581697995163395999 ~1997
2581730395163460799 ~1997
258185549619645317710 ~1999
Exponent Prime Factor Digits Year
2581860235163720479 ~1997
2581883035163766079 ~1997
258192629206554103310 ~1998
258192989206554391310 ~1998
2581963435163926879 ~1997
2581994395163988799 ~1997
258201367258201367110 ~1998
258211663258211663110 ~1998
258214279464785702310 ~1999
2582273515164547039 ~1997
258233141154939884710 ~1998
2582369635164739279 ~1997
2582449195164898399 ~1997
2582486035164972079 ~1997
2582548195165096399 ~1997
258256723258256723110 ~1998
2582595115165190239 ~1997
2582603395165206799 ~1997
2582626195165252399 ~1997
258266207206612965710 ~1998
258270869619850085710 ~1999
258274001154964400710 ~1998
2582770915165541839 ~1997
2582850371033140148111 ~2000
258286333154971799910 ~1998
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25-04-13