ABCDEFGHIJKLMNOPQRSTUVWXYZ
1
Factoring for a publication
All remaining numbers < 3000 digits have been added
2
3
Publication
4
https://web.math.pmf.unizg.hr/~duje/pdf/DKP-Z8Z2Z6.pdf (corrected)
5
https://arxiv.org/pdf/2105.06215.pdf (uncorrected)
6
7
Plot 3 (page 19)
SNFS spinner works! https://mersenneforum.org/showpost.php?p=580762&postcount=232
8
ECM is completed on yellow highlighted / bolded
4 different SNFS polys are available for all numbers: https://mersenneforum.org/showpost.php?p=580297&postcount=132
9
sometimes 8 different SNFS polys are available: https://mersenneforum.org/showpost.php?p=580714&postcount=220
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How to generate SNFS polys
11
1) https://www.mersenneforum.org/showpost.php?p=580022&postcount=27
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2) https://www.mersenneforum.org/showpost.php?p=580025&postcount=30
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14
Online tools to use
15
http://factordb.com/ -- to get composites and report factors
16
http://magma.maths.usyd.edu.au/calc/ -- Magma Calculator
17
https://tinyurl.com/ytjr542p -- Magma script to generate the discriminant and its factors for a plot point
18
62
63
Stage 8
64
PointFactorDB LinkCompositesBooked
Factoring Status
Magma Status
65
(1, 8)
http://factordb.com/index.php?id=1100000002597926304
c98EdHdoneexported
66
(2, 8)
http://factordb.com/index.php?id=1100000002597933642
c109LaurVdoneexported
67
(3, 8)
http://factordb.com/index.php?id=1100000002597951832
c108, c113LaurV -- 2doneexported
68
(4, 8)
http://factordb.com/index.php?id=1100000002597963590
c111, c115, c122, c123LaurV -- 4doneexported
69
(5, 8)
http://factordb.com/index.php?id=1100000002597976609
c121, c124, c125, c131LaurV -- 4doneexported
70
(6, 8)
http://factordb.com/index.php?id=1100000002597993785
c114, c138, c141LaurV -- 3doneexported
71
(7, 8)
http://factordb.com/index.php?id=1100000002598004440
c133, c140, c144, c153doneexported
72
(8, 8)
http://factordb.com/index.php?id=1100000002597144717
c142, c164/snfs170LaurV -- 3doneexported
two c164 polys for LaurV: https://mersenneforum.org/showpost.php?p=580048&postcount=45
73
(8, 7)
http://factordb.com/index.php?id=1100000002598012610
c114 / snfs144frmkydoneexported
two SNFS polys: https://mersenneforum.org/showpost.php?p=580043&postcount=42
74
(8, 6)
http://factordb.com/index.php?id=1100000002598013146
c116bur -- 2doneexported
75
(8, 5)
http://factordb.com/index.php?id=1100000002598013964
c95doneexported
76
(8, 4)
http://factordb.com/index.php?id=1100000002598014674
c85doneexported
77
(8, 3)
http://factordb.com/index.php?id=1100000002598015391
doneexported
78
(8, 2)
http://factordb.com/index.php?id=1100000002598015765
doneexported
79
(8, 1)
http://factordb.com/index.php?id=1100000002606084945
doneexported
80
(8, 0)
http://factordb.com/index.php?id=1100000002606086407
doneexported
81
(8, -1)
http://factordb.com/index.php?id=1100000002606087732
doneexported
82
(8, -2)
http://factordb.com/index.php?id=1100000002598019696
c103RichDdoneexported
83
(8, -3)
http://factordb.com/index.php?id=1100000002598025891
c115/snfs125EdHdoneexported
two polys for EdH: https://mersenneforum.org/showpost.php?p=580036&postcount=37
84
(8, -4)
http://factordb.com/index.php?id=1100000002598027491
c131/snfs144RichD -- 3doneexported
two polys for RichD: https://mersenneforum.org/showpost.php?p=580046&postcount=44
85
(8, -5)
http://factordb.com/index.php?id=1100000002598034653
c139, c158frmky -- 3doneexported
86
(8, -6)
http://factordb.com/index.php?id=1100000002598197699
c143/snfs202 t45 done (booked for GNFS by Brownfox)Brownfox -- 1doneto add
please use ECM/yafu first on all numbers
87
(8, -7)
http://factordb.com/index.php?id=1100000002598200615
c184/snfs239, c186/snfs239 (t50 done on both)c152/snfs239 split by GCD; swishzzz ECM t45 is done for all 3tough corner
88
(8, -8)
http://factordb.com/index.php?id=1100000002598203189
c229/snfs275.5 (t45 done), c253/snfs275.2 (t45 done & 1008@3e8)thyrex -- 1; charybdis -- 1tough corner
89
(7, -8)
http://factordb.com/index.php?id=1100000002598352207
c182/snfs251 (t55 done, charybdis GNFS)charybdis -- 2doneto add
90
(6, -8)
http://factordb.com/index.php?id=1100000002598351627
c179/snfs229 (charybdis SNFS)c212 split by GCD; swishzzz -- 1; charybdis -- 1doneto add
https://www.mersenneforum.org/showpost.php?p=581359&postcount=339
91
(5, -8)
http://factordb.com/index.php?id=1100000002598350361
c209 (t45 done, booked for fivemack)c169 split by GCD; Brownfox -- 1; fivemack -- 1doneto add
please use ECM/yafu first on all numbers
92
(4, -8)
http://factordb.com/index.php?id=1100000002598349477
c122Brownfox -- 4doneexported
93
(3, -8)
http://factordb.com/index.php?id=1100000002598321678
c168/snfs180Plutie -- 2; RichD -- 1doneexported
https://mersenneforum.org/showpost.php?p=580295&postcount=131
94
(2, -8)
http://factordb.com/index.php?id=1100000002598238017
c164fivemack -- 3; fivemack ECM 100 @ B1=1e8 on all composites; c119 split by GCDdoneexported
please use ECM/yafu first on all numbers
95
(1, -8)
http://factordb.com/index.php?id=1100000002597129877
c140 / snfs160bur -- 1doneexported
two SNFS polys for bur: https://mersenneforum.org/showpost.php?p=580134&postcount=63
96
97
Stage 9
98
PointFactorDB LinkCompositesBooked
Factoring Status
Magma Status
99
(1, 9)
http://factordb.com/index.php?id=1100000002598663920
c141/snfs157bur ECM B1=11e6; c134/snfs156 split by GCD; bur -- 1doneexported
bur: two SNFS polys for c134: https://mersenneforum.org/showpost.php?p=580143&postcount=68
100
(2, 9)
http://factordb.com/index.php?id=1100000002598664522
c137frmky -- 2doneexported
bur: two SNFS polys for c141: https://mersenneforum.org/showpost.php?p=580147&postcount=70
101
(3, 9)
http://factordb.com/index.php?id=1100000002598664733
c138frmky -- 1doneexported
102
(4, 9)
http://factordb.com/index.php?id=1100000002598664947
c139/snfs159 (fivemack is on ECM/NFS c139)thyrex -- 1; fivemack -- 3; Stargate38 -- 1doneexported
103
(5, 9)
http://factordb.com/index.php?id=1100000002598665129
c128/snfs166, c159/snfs166c157 split by GCD; EdH -- 2doneexported
104
(6, 9)
http://factordb.com/index.php?id=1100000002598665465
c165frmky -- 4doneexported
105
(7, 9)
http://factordb.com/index.php?id=1100000002598665617
c163frmky -- 4doneexported
106
(8, 9)
http://factordb.com/index.php?id=1100000002598667913
c199 (booked for bsquared SNFS)c182 split by GCD; bsquared -- 2doneexported
107
(9, 9)
http://factordb.com/index.php?id=1100000002598668490
c129, c180frmky -- 2doneexported
108
(9, 8)
http://factordb.com/index.php?id=1100000002598671066
c158/snfs188, t40 2800@B1=3M done, bsquared is on SNFSStargate38 -- 1; bsquared -- 2doneexported
https://www.mersenneforum.org/showpost.php?p=580475&postcount=178
109
(9, 7)
http://factordb.com/index.php?id=1100000002598696598
c103, c104, c130/snfs165frmky -- 3doneexported
110
(9, 6)
http://factordb.com/index.php?id=1100000002598762697
c85, c100, c110, c125RichD -- 4doneexported
c125 SNFS polys: https://mersenneforum.org/showpost.php?p=580161&postcount=77
111
(9, 5)
http://factordb.com/index.php?id=1100000002598743084
doneexported
112
(9, 4)
http://factordb.com/index.php?id=1100000002598735185
c104, c107, c111thyrexdoneexported
113
(9, 3)
http://factordb.com/index.php?id=1100000002598731508
c91, c95, c100, c103wombatman -- 4doneexported
114
(9, 2)
http://factordb.com/index.php?id=1100000002598729765
c80, c88, c88, c101wombatman -- 4doneexported
115
(9, 1)
http://factordb.com/index.php?id=1100000002598698750
c96wombatman/thyrex -- 1doneexported
116
(9, 0)
http://factordb.com/index.php?id=1100000002598697690
doneexported
117
(9, -1)
http://factordb.com/index.php?id=1100000002598701661
c95wombatman -- 1doneexported
118
(9, -2)
http://factordb.com/index.php?id=1100000002598705972
c95, c105, c122bur -- 3doneexported
119
(9, -3)
http://factordb.com/index.php?id=1100000002598708416
c118/snfs150Plutie -- 1doneexported
120
(9, -4)
http://factordb.com/index.php?id=1100000002598708927
c128/snfs171, c159/snfs171wombatman/frmky -- 1; frmky -- 1doneexported
121
(9, -5)
http://factordb.com/index.php?id=1100000002598710866
c168/snfs198, c187/snfs198bur -- 2; c168 is split by GCD; frmky -- 1doneexported
122
(9, -6)
http://factordb.com/index.php?id=1100000002598769436
c178/snfs229 (t55 done, please test sieve GNFS vs SNFS), c193/snfs229 (t45 done)
EdH -- 1tough corner
please use ECM/yafu first on all numbers
123
(9, -7)
http://factordb.com/index.php?id=1100000002601349615
c230 (t45 done), c248 (t45 done), ~SNFS 263 quarticEdH -- 1tough corner
124
(9, -8)
http://factordb.com/index.php?id=1100000002601380894
c192 (t50 done), c277 (t45 done)thyrex -- 1tough corner
125
(9, -9)
http://factordb.com/index.php?id=1100000002601406320
c195 (t50 done), c335 (t50 done)thyrex -- 2; EdH -- 1tough corner
126
(8, -9)
http://factordb.com/index.php?id=1100000002602188795
c235 (t45 done), c287 (t45 done), c300 (t45 done)bsquared -- 3tough corner
127
(7, -9)
http://factordb.com/index.php?id=1100000002601407716
c208 (t45 done), c218 (t45 done), c262 (t45 done)frmky -- 1tough corner
128
(6, -9)
http://factordb.com/index.php?id=1100000002601347065
c210 (t45 done), c271 (t45 done)frmky -- 1; thyrex -- 1tough corner
129
(5, -9)
http://factordb.com/index.php?id=1100000002601343800
c251 (t50 done), ~SNFS 251 quarticrichs -- 2;tough corner
130
(4, -9)
http://factordb.com/index.php?id=1100000002601340505
c168, c234 (both are booked for bsquared), ~SNFS 235 quarticbsquared -- 1; both are booked for bsquaredtough corner
131
(3, -9)
http://factordb.com/index.php?id=1100000002601335702
c203 (booked for bsquared)bsquared -- 3;doneto add
132
(2, -9)
http://factordb.com/index.php?id=1100000002599318524
c140no GCD split for C140; EdH -- 1doneexported
133
(1, -9)
http://factordb.com/index.php?id=1100000002597130327
c165/snfs202swishzzz ECM t30 done; swishzzz -- 2; c197 split by GCDdoneexported
https://mersenneforum.org/showpost.php?p=580273&postcount=121
134
135
Stage 10 (I never thought we'd get here in a day and a half)
136
PointFactorDB LinkCompositesBooked
Factoring Status
Magma Status
137
(1, 10)
http://factordb.com/index.php?id=1100000002599320345
c151 (booked for wombatman)
wombatman -- 1; fivemack -- 1; spun polys (c158; c151 below) ------------------------------------------------>
doneto add
https://mersenneforum.org/showpost.php?p=581116&postcount=307
138
(2, 10)
http://factordb.com/index.php?id=1100000002602019205
c119thyrex -- 2doneexported
c151 spun polys
139
(3, 10)
http://factordb.com/index.php?id=1100000002601413835
c139 (booked for GNFS for swishzzz)bur -- 1; bur ECM'd c139 to t40/B1=3M; swishzzz -- 1doneexported
140
(4, 10)
http://factordb.com/index.php?id=1100000002601415496
c159, c188bur -- 2doneexported
141
(5, 10)
http://factordb.com/index.php?id=1100000002601418366
c146 (booked for GNFS for swishzzz, ETA June 12)swishzzz -- 2doneexported
142
(6, 10)
http://factordb.com/index.php?id=1100000002601419109
c177/snfs209 (t50 done, SNFS ready) https://mersenneforum.org/showpost.php?p=584328&postcount=423
Brownfox -- 1tough corner
143
(7, 10)
http://factordb.com/index.php?id=1100000002601420138
c184 (t50 done), c206 (t50 done), ~SNFS 221 quarticEdH -- 1tough corner