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

mathwiz 2019-04-08 19:50

[QUOTE=GP2;512921]The 330th fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is [M]M78737[/M].

The 29-digit factor was found by Niels Mache Nextcloud, and the PRP test on Primenet was done by ATH.

If certified prime, the [URL="http://factordb.com/index.php?id=1100000001282415963"]cofactor[/URL] would be a new record for Mersenne cofactors, beating the current [M]M63703[/M]. However it would still be smaller than the Wagstaff prime with exponent 83339.[/QUOTE]

Is anyone working on a prime certification of the cofactor, with Primo (I'm guessing) or some other tool?

paulunderwood 2019-04-08 20:02

[QUOTE=mathwiz;513140]Is anyone working on a prime certification of the cofactor, with Primo (I'm guessing) or some other tool?[/QUOTE]

The trouble with certifying with Primo is that it takes several months and there is no coordination so that people are not stepping on each other's toes. This happened with Peter Kaiser and me with a 29k proof of a Lucas number. As it happened, I took Peter's partially finished work and ran it on my faster computer and we shared the credit. Perhaps a Primo reservation thread might be in order!

srow7 2019-04-13 20:24

2377
[QUOTE]
[url]https://www.mersenne.org/report_exponent/?exp_lo=2377&exp_hi=&full=1[/url]
[/QUOTE]
ryan strikes again
what is the secret ?

petrw1 2019-04-13 20:41

[QUOTE=srow7;513630]2377

ryan strikes again
what is the secret ?[/QUOTE]

This puts us over 95% up to 10,000

paulunderwood 2019-04-13 22:59

[QUOTE=srow7;513630]2377

ryan strikes again
what is the secret ?[/QUOTE]

Ryan has one of these:

:primenet:

petrw1 2019-04-21 06:05

5 for Ryan
 
[url]https://www.mersenne.org/report_exponent/?exp_lo=4159&full=1[/url]

4159 Factored 31268686049852386409057899188977231895225891280471760041

2019-04-21 Ryan Propper F-ECM Factor: 31268686049852386409057899188977231895225891280471760041

GP2 2019-04-28 13:21

The 331st fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is [M]M15359[/M].

The latest factor was found by Niels Mache Nextcloud, and the PRP test on Primenet was done by Anonymous.

[URL="http://factordb.com/index.php?id=1100000001291109700"]FactorDB link[/URL]

paulunderwood 2019-04-28 21:37

[QUOTE=GP2;514999]The 331st fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is [M]M15359[/M].

The latest factor was found by Niels Mache Nextcloud, and the PRP test on Primenet was done by Anonymous.

[URL="http://factordb.com/index.php?id=1100000001291109700"]FactorDB link[/URL][/QUOTE]

:toot: Congrats to Niels. An easy ECPP for someone.

axn 2019-04-29 09:37

[QUOTE=paulunderwood;515046]An easy ECPP for someone.[/QUOTE]

Yep. :smile:

GP2 2019-04-30 05:31

The 332nd fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is [M]M4111[/M].

This is a semiprime. The 56-digit factor was found by Ryan Propper, and the PRP test on Primenet was done by ATH.

[URL="http://factordb.com/index.php?id=1100000001291662662"]FactorDB link[/URL]

SethTro 2019-06-12 07:46

Ryan has been exterminating these small exponents!


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