Found factors
MM(17)
Factor : 231,733,529
k : 884
Factored k : 22 x 13 x 17
Bits : 27.787900
Discovered by : Raphael Robinson
Program : IBM 701 assembly
Date : 1957-04-30
Cofactor : composite
Notes : Found during the period February-April 1957
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MM(19)
Factor : 62,914,441
k : 60
Factored k : 22 x 3 x 5
Bits : 25.906900
Discovered by : Raphael Robinson
Program : IBM 701 assembly
Date : 1957-04-30
Cofactor : composite
Notes : Found during the period February-April 1957
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MM(13)
Factor : 338,193,759,479
k : 20,644,229
Factored k : 20644229
Bits : 38.299100
Discovered by : Wilfrid Keller
Program : TR 440 assembly
Date : 1976-01-01
Cofactor : composite
Notes :
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MM(17)
Factor : 64,296,354,767
k : 245,273
Factored k : 7 x 37 x 947
Bits : 35.904000
Discovered by : Wilfrid Keller
Program : TR 440 assembly
Date : 1981-11-27
Cofactor : composite, c39438
Notes :
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MM(31)
Factor : 295,257,526,626,031
k : 68,745
Factored k : 3 x 5 x 4583
Bits : 48.069000
Discovered by : Wilfrid Keller
Program : TR 440 assembly
Date : 1981-11-27
Cofactor : composite
Notes :
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MM(19)
Factor : 5,746,991,873,407
k : 5,480,769
Factored k : 3 x 7 x 31 x 8419
Bits : 42.385900
Discovered by : Will Edgington - Wilfrid Keller
Program : mers - Ubasic
Date : 1994-08-20
Cofactor : composite
Notes : The date of discovery of the factor by Will Edgington is unknown
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MM(31)
Factor : 87,054,709,261,955,177
k : 20,269,004
Factored k : 22 x 7 x 723893
Bits : 56.272800
Discovered by : Tony Forbes - Wilfrid Keller
Program : unknown - Ubasic
Date : 1994-08-20
Cofactor : composite
Notes : The program and date of discovery of the factor by Tony Forbes is unknown
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Factor : 242,557,615,644,693,265,201
k : 56,474,845,800
Factored k : 23 x 3 x 52 x 94124743
Bits : 67.716900
Discovered by : Reto Keiser
Program : MFAC 2.27
Date : 1999-12-06
Cofactor : composite
Notes :
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MM(19)
Factor : 824,271,579,602,877,114,508,714,150,039
k : 786,088,134,555,002,426,637,237
Factored k : 3 x 11 x 199 x 39509 x 3029759717908279
Bits : 99.379000
Discovered by : Phil Moore
Program : Prime95 ECM
Date : 2000-12-06
Cofactor : composite
Notes :
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Factor : 2,106,734,551,102,073,202,633,922,471
k : 2,009,142,465,006,831,375,405
Factored k : 3 x 5 x 113 x 112877 x 10501118807327
Bits : 90.767100
Discovered by : Phil Moore
Program : Prime95 ECM
Date : 2003-03-20
Cofactor : composite
Notes :
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MM(13)
Factor : 210,206,826,754,181,103,207,028,761,697,008,013,415,622,289
k : 12,831,572,869,868,215,309,915,075,185,997,314,944,184
Factored k : 23 x 34 x 11 x 512237490733 x 3514316262671725281413641
Bits : 147.237000
Discovered by : Phil Moore
Program : Prime95 ECM
Date : 2003-06-12
Cofactor : composite, c2410
Notes :
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MM(31)
Factor : 178,021,379,228,511,215,367,151
k : 41,448,832,329,225
Factored k : 3 x 52 x 552651097723
Bits : 77.236400
Discovered by : Ernst Mayer
Program : Mfactor
Date : 2005-06-20
Cofactor : composite
Notes :
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MM(19)
Factor : 65,997,004,087,015,989,956,123,720,407,169
k : 62,939,767,805,625,535,208,887,232
Factored k : 26 x 5563 x 107422907 x 1645656546343
Bits : 105.702000
Discovered by : Phil Moore
Program : Prime95 ECM
Date : 2011-09-30
Cofactor : composite, c157749
Notes :
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Factor : 4,565,880,376,922,810,768,406,683,467,841,114,102,689
k : 4,354,371,152,558,437,238,007,697,566,257,712
Factored k : 24 x 3 x 1512 x 1123 x 234879173 x 15083636118038911
Bits : 131.746000
Discovered by : Phil Moore
Program : Prime95 ECM
Date : 2023-12-06
Cofactor : composite
Notes :
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