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

axn 2014-08-30 12:11

[CODE]M2327417/23915387348002001 is a probable prime![/CODE]

I'm waiting on some additional PRP checks with PFGW before submitting to PRP Top site.

alpertron 2014-08-30 13:11

[QUOTE=axn;381734][CODE]M2327417/23915387348002001 is a probable prime![/CODE]

I'm waiting on some additional PRP checks with PFGW before submitting to PRP Top site.[/QUOTE]

Congratulations!!! That's a lot bigger than the previous record holder of divisors of Mersenne numbers.

MatWur-S530113 2014-08-30 18:41

Congratulations from me, too. As Dario said this is now the largest Mersenne-cofactor known as a prp. It should be soon Nr. 1 on Henris & Renauld Lifchitz's page at [URL]http://www.primenumbers.net/prptop/searchform.php?form=%282^n-1%29%2F%3F&action=Search[/URL]
. Of course only if you reportet it there ;)


[URL="http://www.primenumbers.net/prptop/searchform.php?form=%282^n-1%29%2F%3F&action=Search"][/URL]

paulunderwood 2014-08-30 18:42

[QUOTE=axn;381734][CODE]M2327417/23915387348002001 is a probable prime![/CODE]

I'm waiting on some additional PRP checks with PFGW before submitting to PRP Top site.[/QUOTE]

Congrats :toot:

axn 2014-08-31 04:53

[QUOTE=MatWur-S530113;381755]Of course only if you reportet it there ;)[/QUOTE]
It cleared PRP tests with base=5 & 7 as well, so I have submitted it. Should show up in a couple of days, I guess.:smile:

alpertron 2014-09-05 18:10

[QUOTE=axn;381786]It cleared PRP tests with base=5 & 7 as well, so I have submitted it. Should show up in a couple of days, I guess.:smile:[/QUOTE]

I found another hit:

M270,059 = 540119 * 6481417 * 7124976157756725967 * PRP-81265

paulunderwood 2014-09-05 18:28

[QUOTE=alpertron;382224]I found another hit:

M270,059 = 540119 * 6481417 * 7124976157756725967 * PRP-81265[/QUOTE]

Congrats :smile:

MatWur-S530113 2014-09-05 18:31

Congratulation Dario!
The next one we don't need to factor anymore :max:.
If James is reading here: Is it possible to mark those prp-factors which are already proven as primes on the prp-page? That M11=23*prp2 looks somehow .... strange ^^
And on the page for the smoothest P-1-factors the case k=1 should be ignored. k=1 happens only iff the exponent of the M-number is a Sophie-Germaine-prime congruent 3 mod 4, thus this column is the same as a list of the SG-primes = 3 mod 4.

Matthias

axn 2014-09-07 13:37

They're (both) here... [url]http://www.primenumbers.net/prptop/searchform.php?form=%282^x-1%29%2F%3F&action=Search[/url]

alpertron 2014-09-20 01:53

Another probable prime:

M19121 = 917809 * 415147656569 * 1531543915081 * 27784129616513881634842031 * PRP-5701

This probable prime is in the range of a primality test.

houding 2014-09-20 05:50

On this page

[URL="http://www.mersenne.ca/prp.php?show=3&min_exponent=1&max_exponent=10%2C000%2C000"]http://www.mersenne.ca/prp.php?show=3&min_exponent=1&max_exponent=10%2C000%2C000[/URL]

1093 is also up for PRP testing.

I ran it and this is the message I got:

"M1093/known_factors is a probable prime! We4: 088A088A,00000000"

Not sure if this exponent has been PRP'd and reported before

I hope that someone else is not working on it - sorry if I spoiled your moment


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