Mersenne number factored (disbelievers are biting elbows) - Page 48

Uncwilly · 2020-07-09, 13:42

Quote:

Originally Posted by GP2

M10,443,557 has been reported fully factored.

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:

Originally Posted by ATH

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.

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

Batalov · 2020-07-09, 21:46

I took liberty to let Lifchitz PRP Top site know.
It is in position #3 now.

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

axn · 2020-07-22, 05:31

Quote:

Originally Posted by GP2

M10,443,557 has been reported fully factored.

This would be a new record. The previous record-holder was M7,313,983

M10,443,557 was 344th.

345th is M3307, as reported here and here

The cofactor was certified in factordb on July 19th.

LaurV · 2020-07-22, 05:34

Yay!

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.

FactorDB link.

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 M2029.

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

FactorDB link.

paulunderwood · 2020-09-28, 04:04

Gelly has proved the M84,211 cofactor. The page https://www.mersenne.ca/prp.php needs to be updated.

Prime95 · 2020-09-28, 04:52

Impressive. How long did that take?

paulunderwood · 2020-09-28, 08:49

Quote:

Originally Posted by Prime95

Impressive. How long did that take?

4132590s (47.8 days) on Gelly's 32 core AMD Threadripper

James Heinrich · 2020-09-28, 11:28

Quote:

Originally Posted by paulunderwood

Gelly has proved the M84,211 cofactor. The page https://www.mersenne.ca/prp.php needs to be updated.

I've added it to the fully-factored list, thanks.

2020-09-28, 04:04	#525
paulunderwood Sep 2002 Database er0rr 3,739 Posts	Gelly has proved the M84,211 cofactor. The page https://www.mersenne.ca/prp.php needs to be updated. Last fiddled with by paulunderwood on 2020-09-28 at 04:04

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2020-07-09, 21:46	#520
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 3⁶·13 Posts	I took liberty to let Lifchitz PRP Top site know. It is in position #3 now. (2^10443557-1)/37289325994807 is Fermat, Lucas and Frobenius PRP! (P = 5, Q = 3, D = 13) Time : 80331.237 sec.

2020-07-22, 05:34	#522
LaurV Romulan Interpreter Jun 2011 Thailand 9611₁₀ Posts	Yay!

2020-09-02, 20:38	#523
kruoli "Oliver" Sep 2017 Porta Westfalica, DE 7²·11 Posts	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. FactorDB link.

2020-09-08, 23:51	#524
GP2 Sep 2003 5·11·47 Posts	The 347th fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is M2029. The most recent factor (58 digits) was found by Ryan Propper on September 04 and the cofactor is certified prime. FactorDB link.

2020-09-28, 04:52	#526
Prime95 P90 years forever! Aug 2002 Yeehaw, FL 7526₁₀ Posts	Impressive. How long did that take?