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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.
Exp. Prime Factor Digits Year
8804219176084398 ~1985
88042191584759439
8804267704341378 ~1987
8804303176086078 ~1985
8804437528266238 ~1986
8804591176091838 ~1985
8804843176096878 ~1985
8804867704389378 ~1987
8804891176097838 ~1985
8804897528293838 ~1986
8804953528297198 ~1986
8805011176100238 ~1985
8805143176102878 ~1985
8805323176106478 ~1985
88055231408883699 ~1987
8805617704449378 ~1987
88057731232808239 ~1987
88059131408946099 ~1987
8806043176120878 ~1985
8806073528364398 ~1986
8806093528365598 ~1986
8806403176128078 ~1985
8806439176128798 ~1985
8806757704540578 ~1987
8806859176137198 ~1985
Exp. Prime Factor Digits Year
8807273528436398 ~1986
8807681704614498 ~1987
8807993528479598 ~1986
8808389704671138 ~1987
8808623176172478 ~1985
88089671585614079 ~1988
88090571409449139 ~1987
88090631409450099 ~1987
8809259704740738 ~1987
88092591585666639
8809379704750338 ~1987
8809967704797378 ~1987
8809991176199838 ~1985
8809993528599598 ~1986
8810027704802178 ~1987
8810099176201998 ~1985
8810183176203678 ~1985
8810279704822338 ~1987
8810309704824738 ~1987
88104011409664179 ~1987
8810441528626478 ~1986
8810663176213278 ~1985
88108731233522239 ~1987
8810891704871298 ~1987
8810993528659598 ~1986
Exp. Prime Factor Digits Year
88109991585979839 ~1988
88110071409761139 ~1987
8811251176225038 ~1985
8811359176227198 ~1985
8811373528682398 ~1986
8811479176229598 ~1985
8811851176237038 ~1985
8812439176248798 ~1985
8812673528760398 ~1986
8812961705036898 ~1987
88131077931796319 ~1989
8813543176270878 ~1985
8813639176272798 ~1985
8813771176275438 ~1985
8813993528839598 ~1986
8814479176289598 ~1985
8814479705158338
8814671176293438 ~1985
88148513702237439 ~1988
8814913528894798 ~1986
8815021528901278 ~1986
8815063881506318 ~1987
8815283176305678 ~1985
8815403176308078 ~1985
8815421528925278 ~1986
Exp. Prime Factor Digits Year
8815769705261538 ~1987
8815973528958398 ~1986
8816243176324878 ~1985
8816303176326078 ~1985
8816317528979038 ~1986
88163172115916099
88165794408289519 ~1989
8816987705358978 ~1987
8817023176340478 ~1985
8817077705366178 ~1987
8817241529034478 ~1986
8817541529052478 ~1986
8817563176351278 ~1985
8817839176356798 ~1985
8817839705427138
8817863176357278 ~1985
8818037705442978 ~1987
88182532116380739 ~1988
8818673529120398 ~1986
8818681529120878 ~1986
8818811176376238 ~1985
8819003176380078 ~1985
8819191881919118 ~1987
8819207705536578 ~1987
8819351176387038 ~1985
974
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25-11-17