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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
|
P99_130_64
|
Sean A. Irvine
|
April 25, 2012
|
|
2
|
P98_143_25
|
Greg Childers
|
February 11, 2009
|
|
3
|
P98_110_107
|
RSALS project
|
February 20, 2012
|
|
4
|
P96_124_65
|
Serge Batalov
|
January 5, 2009
|
|
5
|
P95_103_89
|
Don Leclair
|
March 27, 2005
|
|
6
|
P94_148_54
|
Robert Backstrom
|
December 25, 2011
|
|
7
|
P92_101_90
|
forzles
|
December 24, 2007
|
|
8
|
P92_113_91
|
Robert Backstrom
|
November 22, 2011
|
|
9
|
P91_146_26
|
Greg Childers
|
March 8, 2009
|
|
10
|
P90_131_35
|
Robert Backstrom
|
March 15, 2011
|
|
11
|
P90_118_49
|
Robert Backstrom
|
March 11, 2011
|
|
12
|
P89_108_79
|
Robert Backstrom
|
February 28, 2011
|
|
13
|
P89_126_76
|
Sean A. Irvine
|
July 25, 2011
|
|
14
|
P88_131_34
|
Robert Backstrom
|
February 21, 2011
|
|
15
|
P88_140_38
|
Robert Backstrom
|
February 18, 2011
|
|
16
|
P88_133_30
|
Greg Childers
|
May 30, 2009
|
|
17
|
P88_119_58
|
Robert Backstrom
|
May 17, 2011
|
|
18
|
P88_144_31
|
RSALS project
|
September 25, 2010
|
|
19
|
P88_126_94
|
Robert Backstrom
|
September 25, 2011
|
|
20
|
P87_113_65
|
RSALS project
|
February 6, 2010
|
ECM factors
|
Rank
|
Prime factor
|
Value of B1
|
Sigma
|
Contributor
|
Date
|
|
1
|
P62_134_78
|
43000000
|
1308996727
|
yoyo@home
|
April 22, 2010
|
|
2
|
P57_110_63
|
43000000
|
1521428326
|
yoyo@home
|
January 13, 2010
|
|
3
|
P56_107_98
|
110000000
|
3073459691
|
yoyo@home
|
October 30, 2011
|
|
4
|
P56_141_58
|
11000000
|
2663386314
|
Larry Soule
|
December 2, 2010
|
|
5
|
P56_114_103
|
110000000
|
(lost)
|
Serge Batalov
|
May 29, 2008
|
|
6
|
P56_110_103
|
43000000
|
1093243522
|
yoyo@home
|
July 8, 2011
|
|
7
|
P56_133_34
|
43000000
|
438734087
|
yoyo@home
|
December 26, 2009
|
|
8
|
P55_129_41
|
43000000
|
328406988
|
yoyo@home
|
March 6, 2010
|
|
9
|
P55_116_91
|
11000000
|
961534574
|
yoyo@home
|
October 11, 2009
|
|
10
|
P55_149_145
|
110000000
|
1410590673
|
yoyo@home
|
July 31, 2011
|
|
11
|
P55_110_51
|
43000000
|
3644956525
|
yoyo@home
|
December 10, 2009
|
|
12
|
P55_117_70
|
43000000
|
1432540755
|
yoyo@home
|
February 28, 2012
|
|
13
|
P55_118_107
|
43000000
|
3707625806
|
yoyo@home
|
March 23, 2012
|
|
14
|
P55_103_92
|
43000000
|
3979130587
|
Tony Galvan
|
October 28, 2006
|
|
15
|
P55_102_79
|
110000000
|
2426598647
|
Jeff Gilchrist
|
January 21, 2009
|
|
16
|
P55_116_95
|
11000000
|
1583991531
|
yoyo@home
|
October 9, 2010
|
|
17
|
P55_144_80
|
11000000
|
997758636
|
yoyo@home
|
September 15, 2009
|
|
18
|
P55_123_34
|
43000000
|
3882925023
|
yoyo@home
|
December 29, 2009
|
|
19
|
P55_93_56
|
30000000
|
556090596
|
Pierrick Gaudry
|
December 13, 2002
|
|
20
|
P54_114_113
|
43000000
|
3005492450
|
yoyo@home
|
November 24, 2011
|
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
|
P46_148_94
|
P-1
|
4000000000
|
Nicolas Daminelli
|
February 13, 2010
|
|
3
|
P46_139_129
|
P-1
|
2500000000
|
Nicolas Daminelli
|
February 3, 2010
|
|
4
|
P45_136_63
|
P-1
|
2500000000
|
Nicolas Daminelli
|
February 3, 2010
|
|
5
|
P42_133_59
|
P-1
|
4000000000
|
Nicolas Daminelli
|
February 13, 2010
|
|
6
|
P42_108_52
|
P-1
|
1000000000
|
Hartmut Bock
|
February 4, 2005
|
|
7
|
P42_136_107
|
P-1
|
1000000000
|
Richard Heylen
|
February 5, 2004
|
|
8
|
P41_138_106
|
P-1
|
2500000000
|
Nicolas Daminelli
|
February 3, 2010
|
|
9
|
P41_104_75
|
P-1
|
100000000
|
Richard Heylen
|
April 8, 2003
|
|
10
|
P41_116_107
|
P-1
|
2500000000
|
Nicolas Daminelli
|
February 3, 2010
|
|
11
|
P41_103_79
|
P-1
|
1000000000
|
Hartmut Bock
|
December 13, 2004
|
|
12
|
P39_95_79
|
P-1
|
1000000000
|
Hartmut Bock
|
April 5, 2004
|
|
13
|
P38_137_134
|
P-1
|
100000000
|
Richard Heylen
|
August 18, 2003
|
|
14
|
P38_107_104
|
P-1
|
1000000000
|
Hartmut Bock
|
February 8, 2005
|
|
15
|
P38_109_17
|
P+1
|
40000000
|
Nicolas Daminelli
|
March 25, 2003
|
|
16
|
P37_124_69
|
P-1
|
100000000
|
Richard Heylen
|
May 13, 2003
|
|
17
|
P37_134_114
|
P+1
|
10000000
|
Andrey Kulsha
|
May 5, 2003
|
|
18
|
P37_106_63
|
P+1
|
100000000
|
Richard Heylen
|
May 9, 2003
|
|
19
|
P37_144_70
|
P-1
|
2500000000
|
Nicolas Daminelli
|
February 3, 2010
|
|
20
|
P37_148_41
|
P+1
|
100000000
|
Richard Heylen
|
May 30, 2003
|
SNFS-factored composites
|
Rank
|
Factorization
|
Time taken
|
Contributor
|
Date
|
|
1
|
C242_125_86
= P64*P178
|
2 months
|
RSALS project
|
June 8, 2010
|
|
2
|
C241_122_93 = P72*P169
|
4.5 months
|
Greg Childers
|
November 19, 2009
|
|
3
|
C237_131_65 = P86*P151
|
2 months
|
RSALS project
|
July 16, 2010
|
|
4
|
C227_127_61 = P65*P163
|
12 days
|
RSALS project
|
September 19, 2010
|
|
5
|
C225_124_65 = P96*P130
|
10 days
|
Serge Batalov
|
January 5, 2009
|
|
6
|
C224_148_54 = P94*P130
|
4 days
|
Robert Backstrom
|
December 25, 2011
|
|
7
|
C224_111_103 =
P68*P156
|
23 days
|
Robert Backstrom
|
December 21, 2011
|
|
8
|
C224_115_89 = P49*P175
|
6 days
|
Robert Backstrom
|
January 2, 2012
|
|
9
|
C223_144_35 = P52*P86*P86
|
2 months
|
Hallstein A. Hansen
|
June 15, 2009
|
|
10
|
C221_127_56 = P60*P162
|
4 days
|
Robert Backstrom
|
November 27, 2011
|
|
11
|
C221_126_94 = P88*P134
|
1 week
|
Robert Backstrom
|
September 25, 2011
|
|
12
|
C221_113_91 = P92*P130
|
10 days
|
Robert Backstrom
|
November 22, 2011
|
|
13
|
C220_131_48 = P46*P62*P113
|
6 days
|
Robert Backstrom
|
October 30, 2011
|
|
14
|
C219_140_104 =
P79*P141
|
4 days
|
Robert Backstrom
|
October 24, 2011
|
|
15
|
C217_146_36 = P70*P147
|
2 days
|
Robert Backstrom
|
September 27, 2011
|
|
16
|
C216_132_94 = P58*P58*P101
|
10 days
|
Robert Backstrom
|
November 11, 2011
|
|
17
|
C215_110_107 =
P98*P117
|
50 days
|
RSALS project
|
February 20, 2012
|
|
18
|
C215_107_106 =
P60*P156
|
1 month
|
RSALS project
|
September 19, 2011
|
|
19
|
C215_131_44 = P44*P171
|
83 days
|
Hallstein A. Hansen
Lars Solem
|
February 14, 2008
|
|
20
|
C214_109_99 = P58*P73*P84
|
7 days
|
Robert Backstrom
|
October 10, 2011
|
GNFS-factored composites
|
Rank
|
Factorization
|
Time taken
|
Contributor
|
Date
|
|
1
|
C163_142_104 =
P80*P83
|
2 months
|
RSALS project
|
April 3, 2010
|
|
2
|
C160_133_109 =
P67*P94
|
4 weeks
|
RSALS project
|
February 26, 2010
|
|
3
|
C160_131_87 = P47*P54*P59
|
1 month
|
RSALS project
|
March 2, 2010
|
|
4
|
C158_136_107 =
P75*P84
|
15 days
|
RSALS project
|
February 19, 2010
|
|
5
|
C155_146_69 = P48*P107
|
21 days
|
Bill Rea
|
September 28, 2011
|
|
6
|
C152_123_62 = P60*P92
|
2 months
|
Sean Wellman
|
February 6, 2012
|
|
7
|
C152_122_90 = P66*P86
|
27 days
|
Sean A. Irvine
|
July 12, 2010
|
|
8
|
C151_127_80 = P54*P98
|
8 days
|
RSALS project
|
December 7, 2009
|
|
9
|
C151_115_68 = P55*P97
|
6 weeks
|
Sean Wellman
|
May 7, 2012
|
|
10
|
C151_121_76 = P48*P103
|
50 days
|
Sean Wellman
|
March 6, 2012
|
|
11
|
C151_142_94 = P70*P82
|
9 days
|
RSALS project
|
December 13, 2009
|
|
12
|
C150_134_114 =
P48*P103
|
9 days
|
RSALS project
|
December 13, 2009
|
|
13
|
C150_134_102 =
P68*P82
|
8 days
|
RSALS project
|
December 7, 2009
|
|
14
|
C149_122_100 =
P58*P92
|
37 days
|
Sean Wellman
|
March 25, 2012
|
|
15
|
C149_149_33 = P48*P102
|
7 weeks
|
Sean Wellman
|
November 22, 2011
|
|
16
|
C149_106_103 =
P55*P94
|
14 days
|
Sean Wellman
|
September 2, 2011
|
|
17
|
C149_122_80 = P65*P84
|
24 days
|
Sean A. Irvine
|
May 14, 2010
|
|
18
|
C149_124_61 = P67*P83
|
11 days
|
Sean Wellman
|
February 17, 2012
|
|
19
|
C148_124_80 = P74*P75
|
25 days
|
Sean A. Irvine
|
September 15, 2010
|
|
20
|
C148_116_95 = P57*P91
|
6 weeks
|
Sean Wellman
|
April 14, 2012
|
QS-factored composites
|
Rank
|
Factorization
|
Method
|
Time taken
|
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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|