By Makoto Kamada
Quasi-repdigit (47·1074+43)/9 = 522222222222222222222222222222222222222222222222222222222222222222222222227<75> and (47·1074+61)/9 = 522222222222222222222222222222222222222222222222222222222222222222222222229<75> are twin primes.
By Makoto Kamada / GGNFS-0.70.0
The first try of version 0.70.0 on Pentium 4, Windows XP and Cygwin completed all right. 3·10122-1 = 2(9)122<123> = 13 · C122
C122 = P52 · P71
P52 = 2294796717664213509541276266917758467689777187014509<52>
P71 = 10056194912293669804719011098323636255061719884507348567986171070655047<71>
From Tetsuya Kobayashi
The script files which had been used in the factoring of 10165-9 on Nov 5, 2004 (2nd) are here. A rough explanation of the mechanism is as follows. NFS (Network File System) is used for sharing a disk and ssh (Secure SHell) is used for distributing sieve. A control machine assigns sections of sieve and instructs remote machines to do it. Then, control machine gathers up the output of remote machines and run getdeps. Subsequent processes are usual. ``This method will be unfit for larger networks and makes waste results toward the end of sieving. I want to improve those points.'', Tetsuya said. Even though his work is based on an old version of GGNFS, I think that it is very informative as an example of ``distributed GGNFS''.
From Tetsuya Kobayashi
The polynomial file, ggnfs.log and summary.txt in the factoring 10165-9 on Nov 5, 2004 (2nd) are as follows. Four computers were used to do it.