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-   -   Mersenne number factored (disbelievers are biting elbows) (https://www.mersenneforum.org/showthread.php?t=19407)

 Uncwilly 2020-07-09 13:42

[QUOTE=GP2;550090][M]M10,443,557[/M] has been reported fully factored.[/QUOTE]I tried to get a PRP-CF-D assignment of this via the manual assignment page. PrimeNet didn't want to give it to me.

 paulunderwood 2020-07-09 20:33

[QUOTE=ATH;550103]You are welcome to run it with your own software. PFGW takes a very long time because it can only use 1 core and because it does a lot of other tests before starting the Lucas test. Last 2 took 4.5 and 5.7 days, this would probably take 8+ days.[/QUOTE]

[CODE]time ./pfgw64 -f0 -od -q"(2^10443557-1)/37289325994807" | ../../coding/gwnum/lucasPRP - 1 2 10443557 -1
PFGW Version 4.0.0.64BIT.20190528.x86_Dev [GWNUM 29.8]

No factoring at all, not even trivial division

Lucas testing on x^2 - 3*x + 1 ...
Is Lucas PRP!

real 411m8.299s
user 1571m46.737s
sys 15m10.377s
[/CODE]

:toot:

 Batalov 2020-07-09 21:46

I took liberty to let Lifchitz [URL="http://www.primenumbers.net/prptop/prptop.php"]PRP Top site[/URL] know.
It is in position #3 now.

[c](2^10443557-1)/37289325994807 is Fermat, Lucas and Frobenius PRP! (P = 5, Q = 3, D = 13) Time : 80331.237 sec.[/c]

 axn 2020-07-22 05:31

[QUOTE=GP2;550090][M]M10,443,557[/M] has been reported fully factored.

This would be a new record. The previous record-holder was [M]M7,313,983[/M][/QUOTE]

[M]M10,443,557[/M] was 344th.

The cofactor was certified in factordb on July 19th.

 LaurV 2020-07-22 05:34

Yay! :party:

 kruoli 2020-09-02 20:38

The 346th fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is M1999.

The most recent factor (49 digits) was found by Ryan Propper on September 02 and the cofactor was certified to be prime by anonymous and verfied by FactorDB.

 GP2 2020-09-08 23:51

The 347th fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is [M]M2029[/M].

The most recent factor (58 digits) was found by Ryan Propper on September 04 and the cofactor is certified prime.

 paulunderwood 2020-09-28 04:04

Gelly has proved the [URL="https://primes.utm.edu/primes/page.php?id=131278"]M84,211 cofactor[/URL]. The page [url]https://www.mersenne.ca/prp.php[/url] needs to be updated.

 Prime95 2020-09-28 04:52

Impressive. How long did that take?

 paulunderwood 2020-09-28 08:49

[QUOTE=Prime95;558075]Impressive. How long did that take?[/QUOTE]

[URL="https://mersenneforum.org/showpost.php?p=557830&postcount=17"]4132590s (47.8 days)[/URL] on Gelly's 32 core AMD Threadripper

 James Heinrich 2020-09-28 11:28

[QUOTE=paulunderwood;558073]Gelly has proved the [URL="https://primes.utm.edu/primes/page.php?id=131278"]M84,211 cofactor[/URL]. The page [url]https://www.mersenne.ca/prp.php[/url] needs to be updated.[/QUOTE]I've added it to the fully-factored list, thanks.

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