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-   -   The factorsof 10,223+ . c201 are p73 * p129 (https://www.mersenneforum.org/showthread.php?t=2650)

Wacky 2004-06-16 18:10

The factorsof 10,223+ . c201 are p73 * p129
 
On behalf of the NFSNET Factoring Group, I am happy to announce that I found this on the screen of my G5 when I returned from lunch today.

Thanks to all of the sievers without whose efforts I would not have had the data to process.

This completes the last factorization in the backlog caused by the difficulty in processing 2,811-.

Richard

Factorization completed after 8885.90 seconds, at Wed Jun 16 12:45:15 2004
Original number had 201 digits:
[i]49758958437064365183341105213640385746985551202121 \
66813670942463408462643068413592597393991165322720 \
51367234127695381400591250742929694843555904520509 \
603702962028539798720834254409924410330623440892183[/i]

Probable prime factor 1 has 129 digits:
[i]25309322317097404277807835737102129793277608545288 \
59196338893269457315069679673863428510642087796964 \
17921593338374442943683661653[/i]

Probable prime factor 2 has 73 digits:
[i]19660328243340718436487382367169221415674590893901 \
54109618864643162638011[/i]

xilman 2004-06-16 20:58

[QUOTE=Wacky]On behalf of the NFSNET Factoring Group, I am happy to announce that I found this on the screen of my G5 when I returned from lunch today.
...
[/QUOTE]

Excellent news! :banana:

What Wacky didn't reveal is that he had done all of the post-processing for this number with his own resources and, in particular, the linear algebra was performed on his G5 Mac and not on the MSR cluster which has been used for all previous NFSNET factorizations. It took him a while but it demonstrates that heavy iron is not strictly necessary for front-line factorizations --- but patience is. :bow:


Paul


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