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-   -   New Fermat factors (https://www.mersenneforum.org/showthread.php?t=15449)

ET_ 2017-09-22 15:27

[QUOTE=rogue;468299]No. You can do so if you wish.[/QUOTE]

OK, I will email him as soon as the other range (N=120,000-129,999) completes.

rogue 2017-09-24 01:21

Some more:

56487*2^114828+1 is a Factor of xGF(114827,7,3)!!!!
73851*2^114848+1 is a Factor of xGF(114846,11,2)!!!!
40395*2^114951+1 is a Factor of xGF(114950,12,11)!!!!

rogue 2017-10-19 14:19

Last one for this range:

97437*2^119416+1 is a Factor of xGF(119415,10,3)

Gary 2017-12-25 23:51

A new factor from FermatSearch
 
[FONT=Calibri][SIZE=3]I would like to report the following new Fermat factor:[/SIZE][/FONT]

[FONT=Calibri][SIZE=3] 1,844,383 * 2^37238 + 1 divides F37236[/SIZE][/FONT]

[FONT=Calibri][SIZE=3]This was discovered on Dec 19 running pmfs on an HPE Superdome X system.[/SIZE][/FONT]

[FONT=Calibri][SIZE=3]Wishing everyone a Merry Christmas and a Happy New Year.[/SIZE][/FONT]

[FONT=Calibri][SIZE=3]Gary[/SIZE][/FONT]

ET_ 2017-12-26 10:05

[QUOTE=Gary;474871][FONT=Calibri][SIZE=3]I would like to report the following new Fermat factor:[/SIZE][/FONT]

[FONT=Calibri][SIZE=3] 1,844,383 * 2^37238 + 1 divides F37236[/SIZE][/FONT]

[FONT=Calibri][SIZE=3]This was discovered on Dec 19 running pmfs on an HPE Superdome X system.[/SIZE][/FONT]

[FONT=Calibri][SIZE=3]Wishing everyone a Merry Christmas and a Happy New Year.[/SIZE][/FONT]

[FONT=Calibri][SIZE=3]Gary[/SIZE][/FONT][/QUOTE]

Merry Christmas to all :smile:

@Gary, did you add new capabilities to pmfs to work on F32000 numbers?

@ALL: This year only 4 Fermat factors have been discovered: next year I hope you will push harder to the limit!

Gary 2017-12-27 19:22

Another holiday factor from FermatSearch
 
Sometimes good things come in pairs. I would like to report another new Fermat factor:

1,514,535 * 2^38797 + 1 divides F38795

This was discovered today running pmfs on my HPE Superdome X system.

[QUOTE=ET_;474890]

@Gary, did you add new capabilities to pmfs to work on F32000 numbers?
[/QUOTE]

No new capabilities have been added recently. I am using the same version of pmfs that is on the Downloads page on FermatSearch. I have tested that it can find all known Fermat factors up to n = 1,000,000. Note that pmfs [COLOR=black][FONT=Calibri][FONT=Arial][SIZE=2]does not test a trial divisor k* 2^n + 1 for primality. If a trial divisor survives the sieve, pmfs immediately tests to see if it divides any Fm.[/SIZE][/FONT][/FONT][/COLOR]

ET_ 2017-12-27 20:38

[QUOTE=Gary;475008]
No new capabilities have been added recently. I am using the same version of pmfs that is on the Downloads page on FermatSearch. I have tested that it can find all known Fermat factors up to [COLOR="Red"]n = 1,000,000[/COLOR]. Note that pmfs [COLOR=black][FONT=Calibri][FONT=Arial][SIZE=2]does not test a trial divisor k* 2^n + 1 for primality. If a trial divisor survives the sieve, pmfs immediately tests to see if it divides any Fm.[/SIZE][/FONT][/FONT][/COLOR][/QUOTE]

That's the parameter I was missing. Someone should let me update the tables at
[url]http://www.fermatsearch.org/productivity.html[/url] :smile:

Gary 2018-01-24 04:19

A new factor for the New Year from FermatSearch
 
[FONT=Arial][SIZE=2]I would like to start off the New Year with a new Fermat factor:[/SIZE][/FONT]

547,653* 2^45280 + 1 divides F45278

This was discovered on January 18 running pmfs on my HPE Superdome X system.

[QUOTE=ET_;475028]That's the parameter I was missing. Someone should let me update the tables at
[URL]http://www.fermatsearch.org/productivity.html[/URL] :smile:[/QUOTE]

Luigi, I emailed you some benchmark timing runs for pmfs from n=40 to n=1,000,000. You may only be interested in up to n=200,000 since that appears to be the dividing line between FermatSearch and PrimeGrid, but I pushed it to a million just for fun.

ET_ 2018-01-28 07:59

[QUOTE=Gary;478206][FONT=Arial][SIZE=2]I would like to start off the New Year with a new Fermat factor:[/SIZE][/FONT]

547,653* 2^45280 + 1 divides F45278

This was discovered on January 18 running pmfs on my HPE Superdome X system.



Luigi, I emailed you some benchmark timing runs for pmfs from n=40 to n=1,000,000. You may only be interested in up to n=200,000 since that appears to be the dividing line between FermatSearch and PrimeGrid, but I pushed it to a million just for fun.[/QUOTE]

Thanks, I am back from Singapore today, give me a couple of days to eliminate the backlog :smile:

Gary 2018-03-10 22:03

A new factor from FermatSearch
 
[FONT=Arial][SIZE=2]I would like to report a new Fermat factor:

242,445 * 2^63484 + 1 divides F63480

This was discovered today (March 10) running pmfs on my HPE Superdome X system. Interesting tidbit: this is the first factor discovered with n-m > 3 since Maximilian Pacher's factor of F3850 in Aug 2015.[/SIZE][/FONT]

ET_ 2018-03-11 18:05

[QUOTE=Gary;482026][FONT=Arial][SIZE=2]I would like to report a new Fermat factor:

242,445 * 2^63484 + 1 divides F63480

This was discovered today (March 10) running pmfs on my HPE Superdome X system. Interesting tidbit: this is the first factor discovered with n-m > 3 since Maximilian Pacher's factor of F3850 in Aug 2015.[/SIZE][/FONT][/QUOTE]

Congratulations Gary... but bad timing! I am going to take a week's vacation only tomorrow... :smile:


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