Mersenne numbers P-1 factors that should have already been found but were missed:
2,678 exponents (2,687 factors) like this known
Exponent range: M to M
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ExponentFactor BitsAssignment
M139,1332681566629370561754.5739Factor=139133,54,55
Pminus1=1,2,139133,-1,1321,9118757,54
M353,201278951586741084265761.2747Factor=353201,61,62
Pminus1=1,2,353201,-1,1061,93383,61
M353,429309563653051884151.4592Factor=353429,51,52
Pminus1=1,2,353429,-1,19,49891,51
M380,2037023796091007587955.9631Factor=380203,55,56
Pminus1=1,2,380203,-1,593,47533,55
M433,861953842408103306353.0827Factor=433861,53,54
Pminus1=1,2,433861,-1,4751,62533,53
M582,60183193008685557916159.5292Factor=582601,59,60
Pminus1=1,2,582601,-1,613,22811,59
M717,58139993621177106589251368.4383Factor=717581,68,69
Pminus1=1,2,717581,-1,59239,915919,68
M720,6771619863476795861527877773.7783Factor=720677,73,74
Pminus1=1,2,720677,-1,48437,5345653,73
M918,73740505269644833287158.4909Factor=918737,58,59
Pminus1=1,2,918737,-1,167,22871,58
M1,052,939666936227423703689707643982.4638Factor=1052939,82,83
Pminus1=1,2,1052939,-1,234613,781309,82
M1,326,8894122838458482478148575175.1261Factor=1326889,75,76
Pminus1=1,2,1326889,-1,929,5020247,75
M1,631,2973500716644803589096472174.8901Factor=1631297,74,75
Pminus1=1,2,1631297,-1,144941,568231,74
M1,634,791357149045136208865258371.5970Factor=1634791,71,72
Pminus1=1,2,1634791,-1,26783,5874229,71
M1,634,86945071385507357760133651378.5766Factor=1634869,78,79
Pminus1=1,2,1634869,-1,1499,4535537,78
M1,635,88910688139923297706744166.5346Factor=1635889,66,67
Pminus1=1,2,1635889,-1,103,1017719,66
M1,636,5011385036216637176539363.5866Factor=1636501,63,64
Pminus1=1,2,1636501,-1,63839,2761961,63
M1,636,561560971066163587564559372.2484Factor=1636561,72,73
Pminus1=1,2,1636561,-1,2539,14341343,72
M1,642,787210793552176275002948170.8363Factor=1642787,70,71
Pminus1=1,2,1642787,-1,2633,405529,70
M1,643,003677789452107185378188006576192.4529Factor=1643003,92,93
Pminus1=1,2,1643003,-1,117307,17710487,92
M1,643,64113813870696759745573026376.8705Factor=1643641,76,77
Pminus1=1,2,1643641,-1,5021,8354603,76
M1,643,79733244373713139461271968.1717Factor=1643797,68,69
Pminus1=1,2,1643797,-1,823,817319,68
M1,644,197253682131961015137985065781.0693Factor=1644197,81,82
Pminus1=1,2,1644197,-1,221413,683603,81
M1,645,499195765952552780400591819380.6954Factor=1645499,80,81
Pminus1=1,2,1645499,-1,6073,1941491,80
M1,646,2615509178893007390892854375.5443Factor=1646261,75,76
Pminus1=1,2,1646261,-1,477637,1257281,75
M1,648,837370014590275975860960771.6481Factor=1648837,71,72
Pminus1=1,2,1648837,-1,6709,5253827,71
M1,652,5091610111248913053280567973.7696Factor=1652509,73,74
Pminus1=1,2,1652509,-1,10193,2399611,73
M1,652,543192167603657312599459370.7029Factor=1652543,70,71
Pminus1=1,2,1652543,-1,3491,1101179,70
M1,653,1031271725022407760145763.4634Factor=1653103,63,64
Pminus1=1,2,1653103,-1,113,3245579,63
M1,653,49936613476932366502819565171398905303114.8180Factor=1653499,114,115
Pminus1=1,2,1653499,-1,457661,3222281,114
M1,655,55751207640317399836414690378.7607Factor=1655557,78,79
Pminus1=1,2,1655557,-1,21017,480017,78
M1,658,291145611902404508492695170.3026Factor=1658291,70,71
Pminus1=1,2,1658291,-1,827,6843509,70
M1,661,24313384273316532215470366.8591Factor=1661243,66,67
Pminus1=1,2,1661243,-1,3253,1299299,66
M1,664,62736228999323727190552966378.2615Factor=1664627,78,79
Pminus1=1,2,1664627,-1,69491,4697633,78
M1,665,61188827231993802722355632179.5554Factor=1665611,79,80
Pminus1=1,2,1665611,-1,97849,9018809,79
M1,666,21345604526357202479095955467388.5593Factor=1666213,88,89
Pminus1=1,2,1666213,-1,38699,1255259,88
M1,666,871582356109153645676571372.3024Factor=1666871,72,73
Pminus1=1,2,1666871,-1,59627,3810661,72
M1,667,779113548815287634209466935379.9096Factor=1667779,79,80
Pminus1=1,2,1667779,-1,15683,2907097,79
M1,668,5171285222217909723013481773.4444Factor=1668517,73,74
Pminus1=1,2,1668517,-1,124979,1359223,73
M1,670,28781352983762449379592969.4628Factor=1670287,69,70
Pminus1=1,2,1670287,-1,3001,6255751,69
M1,673,1071308209499612195597465897792193.4016Factor=1673107,93,94
Pminus1=1,2,1673107,-1,122263,13836751,93
M1,673,461105378219899071470334307379.8018Factor=1673461,79,80
Pminus1=1,2,1673461,-1,251903,1803323,79
M1,673,92712889010936668285198366.8047Factor=1673927,66,67
Pminus1=1,2,1673927,-1,887,1199767,66
M1,674,847216742157143016153197770.8765Factor=1674847,70,71
Pminus1=1,2,1674847,-1,16183,1516129,70
M1,675,109424985911870922185902422381.8137Factor=1675109,81,82
Pminus1=1,2,1675109,-1,649709,19482343,81
M1,679,1012302149428039630988600774.2854Factor=1679101,74,75
Pminus1=1,2,1679101,-1,49999,1490297,74
M1,679,3292068027388333305888764.1649Factor=1679329,64,65
Pminus1=1,2,1679329,-1,39341,1981153,64
M1,680,2772894827094203354842034514083394.5475Factor=1680277,94,95
Pminus1=1,2,1680277,-1,40597,633497,94
M1,680,4012087438752481000904164.1784Factor=1680401,64,65
Pminus1=1,2,1680401,-1,53,8798137,64
2022005200081670319847374.0982Factor=1680401,74,75
Pminus1=1,2,1680401,-1,26107,11506541,74
M1,681,07317558418904681189795967.2507Factor=1681073,67,68
Pminus1=1,2,1681073,-1,3301,1204279,67

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