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This page contains the best results obtained
while factoring XYYXF composites. Namely, there are Top-20's of:
Largest prime factors ever found there (all by SNFS)
|
Rank
|
Prime factor
|
Contributor
|
Date
|
|
1
|
P137_150_122
|
NFS@home
|
December 18, 2016
|
|
2
|
P133_136_105
|
NFS@home
|
November 26, 2016
|
|
3
|
P123_135_82
|
NFS@home
|
September 8, 2015
|
|
4
|
P118_139_122
|
NFS@home
|
August 28, 2016
|
|
5
|
P117_143_48
|
NFS@home
|
July 23, 2016
|
|
6
|
P116_128_89
|
Ryan Propper
|
April 27, 2015
|
|
7
|
P115_129_74
|
NFS@home
|
September 22, 2016
|
|
8
|
P111_144_86
|
NFS@home
|
April 4, 2016
|
|
9
|
P111_124_91
|
NFS@home
|
October 29, 2016
|
|
10
|
P111_142_49
|
NFS@home
|
May 16, 2016
|
|
11
|
P111_138_124
|
NFS@home
|
May 14, 2015
|
|
12
|
P111_149_120
|
Ryan Propper
& Greg Childers
|
December 3, 2016
|
|
13
|
P111_143_46
|
Ryan Propper
|
May 20, 2015
|
|
14
|
P109_123_80
|
NFS@home
|
July 28, 2016
|
|
15
|
P108_126_103
|
Ryan Propper
|
April 5, 2015
|
|
16
|
P108_128_77
|
NFS@home
|
December 13, 2016
|
|
17
|
P108_140_57
|
NFS@home
|
October 23, 2016
|
|
18
|
P107_115_97
|
Ryan Propper
|
February 9, 2015
|
|
19
|
P107_132_89
|
NFS@home
|
December 27, 2016
|
|
20
|
P107_127_108
|
NFS@home
|
November 18, 2016
|
ECM factors
|
Rank
|
Prime factor
|
Value of B1
|
Sigma
|
Contributor
|
Date
|
|
1
|
P64_138_59
|
1000000000 (step 1)
|
3530571069
|
Ryan Propper
|
March 26, 2015
|
|
2
|
P63_147_80
|
300000000
|
3:1335943107
|
Tom Womack
|
October 3, 2016
|
|
3
|
P62_134_78
|
43000000
|
1308996727
|
yoyo@home
|
April 22, 2010
|
|
4
|
P61_121_114
|
110000000
|
1261313051
|
yoyo@home
|
September 13, 2016
|
|
5
|
P61_119_107
|
43000000
|
4034113449
|
yoyo@home
|
May 16, 2012
|
|
6
|
P60_132_91
|
110000000
|
2405137795
|
Sean Wellman
|
May 9, 2016
|
|
7
|
P60_147_101
|
43000000
|
3687315309
|
yoyo@home
|
April 23, 2016
|
|
8
|
P59_147_62
|
260000000
|
299114099
|
yoyo@home
|
July 25, 2016
|
|
9
|
P59_130_109
|
260000000
|
2332845787
|
yoyo@home
|
July 13, 2016
|
|
10
|
P59_142_67
|
110000000
|
672461621
|
yoyo@home
|
November 23, 2016
|
|
11
|
P59_125_121
|
850000000
|
4292114945
|
Ryan Propper
|
July 28, 2016
|
|
12
|
P59_150_143
|
43000000
|
1715499262
|
Sean Wellman
|
February 20, 2013
|
|
13
|
P58_141_100
|
43000000
|
37638635
|
yoyo@home
|
May 1, 2015
|
|
14
|
P58_113_96
|
110000000
|
1736500047
|
Ryan Propper
|
June 16, 2014
|
|
15
|
P58_122_101
|
110000000
|
2120187100
|
Sean Wellman
|
September 14, 2015
|
|
16
|
P58_113_110
|
10000000000
|
626883630
|
Ryan Propper
|
May 16, 2014
|
|
17
|
P57_148_87
|
110000000
|
3:4168111304
|
Sean Wellman
|
August 29, 2016
|
|
18
|
P57_133_125
|
43000000
|
488061200
|
yoyo@home
|
March 9, 2014
|
|
19
|
P57_128_127
|
850000000
|
2560958095
|
Ryan Propper
|
September 1, 2016
|
|
20
|
P57_144_73
|
110000000
|
3:3576194425
|
Sean Wellman
|
August 26, 2016
|
P±1 factors
|
Rank
|
Prime factor
|
Method
|
Value of B1
|
Contributor
|
Date
|
|
1
|
P49_108_100
|
P-1
|
1000000000
|
Hartmut Bock
|
February 7, 2005
|
|
2
|
P49_142_75
|
P+1
|
5100000000
|
Oscar Östlin
|
August 9, 2013
|
|
3
|
P48_144_107
|
P+1
|
13700000000
|
Oscar Östlin
|
September 28, 2014
|
|
4
|
P48_144_61
|
P+1
|
5100000000
|
Oscar Östlin
|
August 9, 2013
|
|
5
|
P46_148_94
|
P-1
|
4000000000
|
Nicolas Daminelli
|
February 13, 2010
|
|
6
|
P46_139_129
|
P-1
|
2500000000
|
Nicolas Daminelli
|
February 3, 2010
|
|
7
|
P45_136_63
|
P-1
|
2500000000
|
Nicolas Daminelli
|
February 3, 2010
|
|
8
|
P44_146_88
|
P+1
|
8600000000
|
Oscar Östlin
|
February 22, 2014
|
|
9
|
P42_133_59
|
P-1
|
4000000000
|
Nicolas Daminelli
|
February 13, 2010
|
|
10
|
P42_108_52
|
P-1
|
1000000000
|
Hartmut Bock
|
February 4, 2005
|
|
11
|
P42_136_107
|
P-1
|
1000000000
|
Richard Heylen
|
February 5, 2004
|
|
12
|
P41_138_106
|
P-1
|
2500000000
|
Nicolas Daminelli
|
February 3, 2010
|
|
13
|
P41_104_75
|
P-1
|
100000000
|
Richard Heylen
|
April 8, 2003
|
|
14
|
P41_116_107
|
P-1
|
2500000000
|
Nicolas Daminelli
|
February 3, 2010
|
|
15
|
P41_103_79
|
P-1
|
1000000000
|
Hartmut Bock
|
December 13, 2004
|
|
16
|
P39_95_79
|
P-1
|
1000000000
|
Hartmut Bock
|
April 5, 2004
|
|
17
|
P38_137_134
|
P-1
|
100000000
|
Richard Heylen
|
August 18, 2003
|
|
18
|
P38_107_104
|
P-1
|
1000000000
|
Hartmut Bock
|
February 8, 2005
|
|
19
|
P38_109_17
|
P+1
|
40000000
|
Nicolas Daminelli
|
March 25, 2003
|
|
20
|
P37_124_69
|
P-1
|
100000000
|
Richard Heylen
|
May 13, 2003
|
SNFS-factored composites
|
Rank
|
Factorization
|
Time to factor
|
Contributor
|
Date
|
|
1
|
C307_149_120
= P111*P197
|
4 weeks
|
Ryan Propper
& Greg Childers
|
December 3, 2016
|
|
2
|
C300_141_133 =
P84*P216
|
3 months
|
Ryan Propper
|
October 8, 2016
|
|
3
|
C286_139_122 =
P118*P168
|
3 months
|
NFS@home
|
August 28, 2016
|
|
4
|
C282_140_137 =
P63*P84*P136
|
1 year
|
Ryan Propper
|
July 15, 2016
|
|
5
|
C277_150_122 =
P137*P141
|
16 weeks
|
NFS@home
|
December 18, 2016
|
|
6
|
C275_150_116 =
P78*P198
|
1 month
|
NFS@home
|
September 26, 2016
|
|
7
|
C272_136_105 =
P133*P139
|
2 months
|
NFS@home
|
November 26, 2016
|
|
8
|
C269_140_83 = P57*P212
|
2 months
|
NFS@home
|
October 15, 2016
|
|
9
|
C267_150_118 =
P89*P179
|
11 days
|
Ryan Propper
|
July 4, 2016
|
|
10
|
C267_144_142 =
P57*P210
|
6 weeks
|
Tom Womack
|
April 14, 2016
|
|
11
|
C262_129_110 =
P67*P87*P108
|
2 months
|
NFS@home
|
December 21, 2016
|
|
12
|
C262_132_101 =
P86*P176
|
2 months
|
NFS@home
|
September 3, 2015
|
|
13
|
C261_139_75 = P103*P158
|
3 weeks
|
NFS@home
|
September 24, 2015
|
|
14
|
C260_140_81 = P100*P161
|
2 weeks
|
NFS@home
|
August 5, 2016
|
|
15
|
C260_126_125 =
P72*P188
|
2 months
|
NFS@home
|
December 21, 2016
|
|
16
|
C259_130_107 =
P58*P202
|
10 weeks
|
NFS@home
|
December 31, 2016
|
|
17
|
C259_133_99 = P54*P91*P115
|
1 month
|
NFS@home
|
August 30, 2016
|
|
18
|
C259_131_97 = P63*P83*P114
|
1 month
|
NFS@home
|
January 28, 2016
|
|
19
|
C258_149_61 = P50*P208
|
1 month
|
NFS@home
|
August 24, 2016
|
|
20
|
C257_135_82 = P123*P135
|
1 month
|
NFS@home
|
September 8, 2015
|
GNFS-factored composites
|
Rank
|
Factorization
|
Time to factor
|
Contributor
|
Date
|
|
1
|
C197_147_136 =
P93*P104
|
6 weeks
|
NFS@home
|
August 31, 2016
|
|
2
|
C194_139_131 =
P62*P132
|
3 weeks
|
Ryan Propper
|
December 12, 2016
|
|
3
|
C188_140_113 =
P74*P115
|
1 month
|
NFS@home
|
July 13, 2016
|
|
4
|
C188_132_125 =
P79*P110
|
1 month
|
NFS@home
|
July 23, 2016
|
|
5
|
C188_149_78 = P75*P113
|
1 month
|
NFS@home
|
July 23, 2016
|
|
6
|
C185_142_141 =
P80*P105
|
2 months
|
NFS@home
|
January 19, 2016
|
|
7
|
C185_134_99 = P70*P115
|
3 days
|
Ryan Propper
|
July 20, 2016
|
|
8
|
C184_135_106 =
P75*P110
|
3 days
|
Ryan Propper
|
May 7, 2016
|
|
9
|
C183_127_118 =
P70*P114
|
6 weeks
|
NFS@home
|
October 19, 2016
|
|
10
|
C182_136_109 =
P70*P113
|
1 month
|
NFS@home
|
September 11, 2016
|
|
11
|
C182_147_125 =
P79*P103
|
1 month
|
NFS@home
|
August 23, 2015
|
|
12
|
C181_135_109 =
P72*P109
|
6 weeks
|
NFS@home
|
September 23, 2016
|
|
13
|
C181_133_103 =
P62*P119
|
7 weeks
|
NFS@home
|
October 8, 2016
|
|
14
|
C180_134_121 =
P73*P107
|
2 months
|
Tom Womack
|
June 9, 2016
|
|
15
|
C179_139_137 =
P87*P92
|
2 months
|
NFS@home
|
June 19, 2015
|
|
16
|
C178_131_81 = P78*P101
|
1 month
|
NFS@home
|
August 29, 2016
|
|
17
|
C178_133_71 = P86*P92
|
4 weeks
|
NFS@home
|
September 8, 2016
|
|
18
|
C177_148_94 = P87*P91
|
2 weeks
|
NFS@home
|
May 1, 2016
|
|
19
|
C175_131_96 = P76*P99
|
7 weeks
|
Tom Womack
|
November 6, 2015
|
|
20
|
C174_136_69 = P71*P104
|
5 weeks
|
NFS@home
|
September 5, 2016
|
QS-factored composites
|
Rank
|
Factorization
|
Method
|
Time to factor
|
Contributor
|
Date
|
|
1
|
C126_148_32 = P46*P80
|
SIQS
|
6 months
|
Hallstein A. Hansen
|
March 12, 2007
|
|
2
|
C117_146_72 = P50*P68
|
SIQS
|
13 days
|
Tom Cage
|
June 28, 2005
|
|
3
|
C116_118_48 = P44*P72
|
SIQS
|
23 days
|
Hallstein A. Hansen
|
December 16, 2005
|
|
4
|
C114_80_69 = P40*P74
|
SIQS
|
14 days
|
Don Leclair
|
September 15, 2002
|
|
5
|
C112_100_76 = P56*P56
|
MPQS
|
6 days
|
Sean A. Irvine
|
July 16, 2002
|
|
6
|
C110_78_67 = P45*P65
|
SIQS
|
5 days
|
Don Leclair
|
July 31, 2002
|
|
7
|
C109_86_35 = P50*P59
|
SIQS
|
5 days
|
Don Leclair
|
July 2, 2002
|
|
8
|
C108_145_96 = P48*P61
|
SIQS
|
1 day
|
Andrey Kulsha
|
May 17, 2011
|
|
9
|
C108_137_40 = P48*P61
|
SIQS
|
1 day
|
Andrey Kulsha
|
September 4, 2010
|
|
10
|
C107_93_26 = P46*P61
|
MPQS
|
12 days
|
Ken Worster
|
March 22, 2002
|
|
11
|
C107_63_52 = P42*P66
|
MPQS
|
29 hours
|
Sean A. Irvine
|
March 3, 2002
|
|
12
|
C106_136_28 = P49*P58
|
SIQS
|
31 hour
|
Tom Cage
|
January 18, 2005
|
|
13
|
C106_89_43 = P51*P55
|
MPQS
|
3 days
|
Jonathan A. Zylstra
|
December 6, 2003
|
|
14
|
C106_126_102 =
P49*P57
|
SIQS
|
36 hours
|
Tom Cage
|
January 15, 2005
|
|
15
|
C106_91_81 = P39*P67
|
MPQS
|
32 hours
|
Sean A. Irvine
|
June 7, 2002
|
|
16
|
C106_83_33 = P53*P53
|
MPQS
|
9 days
|
Ken Worster
|
January 4, 2003
|
|
17
|
C106_130_22 = P47*P59
|
SIQS
|
24 hours
|
Tom Cage
|
January 16, 2005
|
|
18
|
C105_139_23 = P49*P57
|
SIQS
|
68 hours
|
Tom Cage
|
January 13, 2005
|
|
19
|
C105_85_46 = P40*P65
|
SIQS
|
32 hours
|
Don Leclair
|
July 19, 2002
|
|
20
|
C105_104_71 = P40*P66
|
SIQS
|
106 hours
|
Hartmut Bock
|
January 11, 2005
|
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|