Mersenne numbers P-1 factors that should have already been found but were missed:
1,595 exponents (1,603 factors) like this known
Exponent range: M to M
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ExponentFactor BitsAssignment
M19,998,21727338589451191531579167.8895Factor=19998217,67,68
Pminus1=1,2,19998217,-1,599,22727,67
M19,990,29170029841787221208882369.2465Factor=19990291,69,70
Pminus1=1,2,19990291,-1,34313,1766353,69
M19,962,52921003885229453148222367.5092Factor=19962529,67,68
Pminus1=1,2,19962529,-1,1621,170641,67
M19,936,8237685782435578400630366.0588Factor=19936823,66,67
Pminus1=1,2,19936823,-1,36011,258581,66
M19,935,74339552999516928080479368.4223Factor=19935743,68,69
Pminus1=1,2,19935743,-1,2683,1929749,68
M19,935,13126777609788408639462367.8596Factor=19935131,67,68
Pminus1=1,2,19935131,-1,19853,3637589,67
M19,931,17321316297475056794035967.5305Factor=19931173,67,68
Pminus1=1,2,19931173,-1,10889,424451,67
M19,907,42937874787229024116645768.3598Factor=19907429,68,69
Pminus1=1,2,19907429,-1,67523,3913369,68
M19,896,4277887009838829529816766.0961Factor=19896427,66,67
Pminus1=1,2,19896427,-1,1373,658261,66
M19,896,13155252210965559231188168.9046Factor=19896131,68,69
Pminus1=1,2,19896131,-1,3617,3367423,68
M19,869,9798692170473248667422366.2364Factor=19869979,66,67
Pminus1=1,2,19869979,-1,19031,411941,66
M19,868,791398373174865705362646921781.7204Factor=19868791,81,82
Pminus1=1,2,19868791,-1,26993,625477,81
M19,861,06952624385697156413960968.8343Factor=19861069,68,69
Pminus1=1,2,19861069,-1,1609,286651,68
M19,855,699154200710829426161703170.3853Factor=19855699,70,71
Pminus1=1,2,19855699,-1,223,5525213,70
M19,844,05937310386240586983348168.3381Factor=19844059,68,69
Pminus1=1,2,19844059,-1,34231,1248323,68
M19,778,55716160910538050007488767.1311Factor=19778557,67,68
Pminus1=1,2,19778557,-1,3253,299239,67
M19,775,98933819126560677115887368.1964Factor=19775989,68,69
Pminus1=1,2,19775989,-1,547,2707,68
M19,769,94722712109795460298373767.6220Factor=19769947,67,68
Pminus1=1,2,19769947,-1,503,530753,67
M19,769,73110080609761437666960166.4501Factor=19769731,66,67
Pminus1=1,2,19769731,-1,4957,1285811,66
M19,750,11120863320484873767152967.4995Factor=19750111,67,68
Pminus1=1,2,19750111,-1,2903,243631,67
M19,737,59317491565711446645456167.2452Factor=19737593,67,68
Pminus1=1,2,19737593,-1,4153,1212439,67
M19,702,32130578867315650649828968.0511Factor=19702321,68,69
Pminus1=1,2,19702321,-1,35083,2513591,68
M19,697,947141073790931191793055970.2569Factor=19697947,70,71
Pminus1=1,2,19697947,-1,10427,391639,70
M19,686,65926583791577172283375367.8491Factor=19686659,67,68
Pminus1=1,2,19686659,-1,5003,3153121,67
M19,680,1499822783978419838491966.4128Factor=19680149,66,67
Pminus1=1,2,19680149,-1,17989,639307,66
M19,679,111660051956532688953607172.4831Factor=19679111,72,73
Pminus1=1,2,19679111,-1,36191,817979,72
M19,651,16926219069155731130904967.8292Factor=19651169,67,68
Pminus1=1,2,19651169,-1,3331,796001,67
M19,646,083289839902948801858470360781.2615Factor=19646083,81,82
Pminus1=1,2,19646083,-1,142979,814609,81
M19,641,367130129449189488821104170.1404Factor=19641367,70,71
Pminus1=1,2,19641367,-1,2371,207169,70
M19,616,743138036356083507205665770.2255Factor=19616743,70,71
Pminus1=1,2,19616743,-1,1369,10091,70
M19,560,48795768249934204021925769.6981Factor=19560487,69,70
Pminus1=1,2,19560487,-1,3221,678341,69
M19,544,02321990535726883906723967.5754Factor=19544023,67,68
Pminus1=1,2,19544023,-1,2309,785717,67
M19,531,95798929972752283628555969.7450Factor=19531957,69,70
Pminus1=1,2,19531957,-1,188729,1838191,69
M19,522,72972989808512256612504169.3063Factor=19522729,69,70
Pminus1=1,2,19522729,-1,3877,405863,69
M19,497,86937033008552914678424168.3274Factor=19497869,68,69
Pminus1=1,2,19497869,-1,13469,652849,68
M19,483,75714801373445934411584767.0043Factor=19483757,67,68
Pminus1=1,2,19483757,-1,1693,1350743,67
M19,480,82929699366888317247503168.0090Factor=19480829,68,69
Pminus1=1,2,19480829,-1,34871,1410307,68
M19,461,57722743707266980829115967.6240Factor=19461577,67,68
Pminus1=1,2,19461577,-1,47791,653831,67
M19,456,693388178534318137009828903381.6830Factor=19456693,81,82
Pminus1=1,2,19456693,-1,29833,583873,81
M19,456,23746399223828385259725768.6527Factor=19456237,68,69
Pminus1=1,2,19456237,-1,569,1171253,68
M19,449,94314265382904330748472966.9511Factor=19449943,66,67
Pminus1=1,2,19449943,-1,4273,378407,66
M19,441,29798562943102051805126369.7396Factor=19441297,69,70
Pminus1=1,2,19441297,-1,24979,2145469,69
M19,434,22934925426577187424784768.2428Factor=19434229,68,69
Pminus1=1,2,19434229,-1,1801,70139,68
M19,416,05318494636771369001131367.3257Factor=19416053,67,68
Pminus1=1,2,19416053,-1,409,295433,67
M19,410,28312374178900704917773766.7459Factor=19410283,66,67
Pminus1=1,2,19410283,-1,6241,697733,66
M19,405,53190139099058147314975969.6107Factor=19405531,69,70
Pminus1=1,2,19405531,-1,137,733147,69
M19,330,04335624003535664649775168.2714Factor=19330043,68,69
Pminus1=1,2,19330043,-1,125,3344557,68
M19,322,6298222001879536877080966.1561Factor=19322629,66,67
Pminus1=1,2,19322629,-1,15619,15817,66
M19,310,507110256427049972146184969.9014Factor=19310507,69,70
Pminus1=1,2,19310507,-1,5153,35081,69
M19,282,3878198698527058689108166.1520Factor=19282387,66,67
Pminus1=1,2,19282387,-1,19991,590809,66

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