The following table contains all the factorizations of (G)CW numbers which have been reported to me since 1st July 2000, with the exception that factors with fewer than 20 digits are omitted because they were so easy to find and there were so many of them.
The key to the abbreviations used in the "Method" column in each of the above table of files is:
Name | Algorithm |
alg | : Algebraic factorization |
Aur | : Aurifeuillean factorization |
ECM | : Elliptic Curve Method |
GNFS | : General Number Field Sieve |
lookup | : Look-up from an external table, most often www.factordb.com |
MPQS | : Multiple Polynomial Quadratic Sieve |
P-1 | : Pollard's P-1 method |
P+1 | : Williams' P+1 method |
SIQS | : Self-Initializing Multiple Polynomial Quadratic Sieve |
SNFS | : Special Number Field Sieve |
The table below shows how many factors each contributor has reported since the date given in the column header.
2000-09-01 | Name | 2019-10-25 | Name | 2023-10-25 | Name | 2024-01-01 | Name |
20910 | PC Leyland | 1279 | SS Wagstaff | 143 | SS Wagstaff | 14 | Anonymous |
9492 | N Daminelli | 74 | yoyo@home | 14 | Anonymous | 11 | SS Wagstaff |
5167 | SS Wagstaff | 73 | PC Leyland | 7 | PC Leyland | 7 | PC Leyland |
1548 | R Hooft | 24 | O Kruse | 6 | yoyo@home | 5 | yoyo@home |
1493 | Jo YU | 20 | R Hooft | ||||
808 | M Rodenkirch | 18 | Anonymous | ||||
770 | S Hoogendoorn | 14 | A Latham | ||||
664 | M Vang | 12 | NFS@Home & S Wellman | ||||
450 | J Dilick | 4 | S Wellman | ||||
300 | yoyo@home | 4 | S Wellman & NFS@Home | ||||
280 | J Gilchrist | 2 | P Manne & yoyo@home | ||||
249 | J Crump | 2 | O Kruse & PC Leyland | ||||
200 | R Stanilewicz | 2 | NFS@Home & O Kruse | ||||
156 | P Zimmermann | 2 | M Vang | ||||
148 | T Womack & NFS@Home & R Hooft | 2 | D Delgado & NFS@Home & S Wellman | ||||
130 | G Reynolds | ||||||
130 | D Leclair | ||||||
100 | G Childers & NFS@Home | ||||||
88 | J Becker | ||||||
66 | S Wellman & NFS@Home | ||||||
64 | S Wellman & NFS@Home & R Hooft | ||||||
60 | R Dickerson & NFS@Home & R Hooft | ||||||
56 | R Recker | ||||||
48 | SA Irvine | ||||||
44 | V de Hollander & NFS@Home & R Hooft | ||||||
42 | J Girsch | ||||||
38 | T Womack & NFS@Home | ||||||
38 | R Gevaryahu | ||||||
36 | W Roonguthai | ||||||
36 | T Charron | ||||||
36 | J Leherbauer | ||||||
34 | T Womack | ||||||
34 | C Pinho | ||||||
34 | B Meekins & NFS@Home & R Hooft | ||||||
26 | R Dickerson | ||||||
26 | P Underwood | ||||||
26 | J Hansen | ||||||
24 | S Wellman | ||||||
24 | R Dickerson & NFS@Home | ||||||
24 | O Kruse | ||||||
22 | F Schickel | ||||||
22 | Anonymous | ||||||
20 | T Sorbera & NFS@Home & R Hooft | ||||||
20 | C Pinho & NFS@Home & R Hooft | ||||||
16 | RSALS & C Pinho | ||||||
14 | S Batalov | ||||||
14 | M Vang & NFS@Home & R Hooft | ||||||
14 | L Debroux & NFS@Home & R Hooft | ||||||
14 | A Latham | ||||||
12 | W Gnadt | ||||||
12 | R Verser | ||||||
12 | P Jammes | ||||||
12 | P Frakes | ||||||
12 | NFS@Home & S Wellman | ||||||
12 | L Debroux | ||||||
12 | B Meekins & NFS@Home | ||||||
10 | Y Lemsafer & NFS@Home & R Hooft | ||||||
10 | U Heinemann | ||||||
10 | NFS@Home & R Hooft | ||||||
10 | J Becker & NFS@Home & R Hooft | ||||||
8 | V de Hollander & NFS@Home | ||||||
8 | M Steine & NFS@Home | ||||||
8 | M Klasson | ||||||
8 | L Fousse | ||||||
8 | L Debroux & NFS@Home | ||||||
8 | J McClintock & NFS@Home | ||||||
8 | D Domanov & NFS@Home | ||||||
8 | Cunningham | ||||||
8 | B Guo & NFS@Home & R Hooft | ||||||
6 | G Childers & NFS@Home & R Hooft | ||||||
6 | D Domanov & NFS@Home & R Hooft | ||||||
6 | A Edwards | ||||||
4 | RSALS & R Dickerson | ||||||
4 | RSALS & PC Leyland | ||||||
4 | RSALS & M Steine | ||||||
4 | RSALS & L Debroux | ||||||
4 | RK Wackerbarth | ||||||
4 | RD Silverman | ||||||
4 | O Östlin | ||||||
4 | NFS@Home | ||||||
4 | L Morelli | ||||||
4 | J Polzer | ||||||
4 | C Pinho & NFS@Home | ||||||
4 | BA Dodson | ||||||
2 | RSALS & W Winslow | ||||||
2 | RD Silverman & PC Leyland | ||||||
2 | R Backstrom | ||||||
2 | PC Leyland & NFS@Home & R Hooft | ||||||
2 | P Strohl | ||||||
2 | P Manne & yoyo@home | ||||||
2 | O Kruse & PC Leyland | ||||||
2 | NFSNET" | ||||||
2 | NFSNET" & CWI | ||||||
2 | NFS@Home & T Womack | ||||||
2 | NFS@Home & O Kruse | ||||||
2 | NFS@Home & C Pinho | ||||||
2 | MB Porter | ||||||
2 | M Bosse & yoyo@home | ||||||
2 | L Vornicu | ||||||
2 | J Santala | ||||||
2 | J McClintock & NFS@Home & R Hooft | ||||||
2 | J King & NFS@Home | ||||||
2 | G Cockcroft | ||||||
2 | G Childers | ||||||
2 | F Bosia | ||||||
2 | E Branger | ||||||
2 | D Delgado & NFS@Home & S Wellman | ||||||
2 | CADO | ||||||
2 | AK Lenstra | ||||||
2 | AK Lenstra & M Manasse |