Mersenne number factored (disbelievers are biting elbows) - Page 20

axn · 2014-08-30, 12:11

Code:

M2327417/23915387348002001 is a probable prime!

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

alpertron · 2014-08-30, 13:11

Quote:

Originally Posted by axn

Code:

M2327417/23915387348002001 is a probable prime!

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

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 http://www.primenumbers.net/prptop/s...&action=Search
. Of course only if you reportet it there ;)

paulunderwood · 2014-08-30, 18:42

Quote:

Originally Posted by axn

Code:

M2327417/23915387348002001 is a probable prime!

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

Congrats

axn · 2014-08-31, 04:53

Quote:

Originally Posted by MatWur-S530113

Of course only if you reportet it there ;)

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.

alpertron · 2014-09-05, 18:10

Quote:

Originally Posted by axn

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.

I found another hit:

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

paulunderwood · 2014-09-05, 18:28

Quote:

Originally Posted by alpertron

I found another hit:

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

Congrats

MatWur-S530113 · 2014-09-05, 18:31

Congratulation Dario!
The next one we don't need to factor anymore

.
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... http://www.primenumbers.net/prptop/s...&action=Search

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

http://www.mersenne.ca/prp.php?show=...10%2C000%2C000

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

2014-08-30, 12:11	#210
axn Jun 2003 11737₈ Posts	Code: M2327417/23915387348002001 is a probable prime! I'm waiting on some additional PRP checks with PFGW before submitting to PRP Top site.

2014-09-07, 13:37	#218
axn Jun 2003 1001111011111₂ Posts	They're (both) here... http://www.primenumbers.net/prptop/s...&action=Search Last fiddled with by axn on 2014-09-07 at 13:37

2014-09-20, 05:50	#220
houding "Adolf" Nov 2013 South Africa 61 Posts	On this page http://www.mersenne.ca/prp.php?show=...10%2C000%2C000 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 Last fiddled with by houding on 2014-09-20 at 05:54

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2014-08-30, 18:41	#212
MatWur-S530113 Apr 2007 Spessart/Germany 162₁₀ Posts	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 http://www.primenumbers.net/prptop/s...&action=Search . Of course only if you reportet it there ;)

2014-09-05, 18:31	#217
MatWur-S530113 Apr 2007 Spessart/Germany 242₈ Posts	Congratulation Dario! The next one we don't need to factor anymore . 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

2014-09-20, 01:53	#219
alpertron Aug 2002 Buenos Aires, Argentina 2×683 Posts	Another probable prime: M19121 = 917809 * 415147656569 * 1531543915081 * 27784129616513881634842031 * PRP-5701 This probable prime is in the range of a primality test.