mersenneforum.org  

Go Back   mersenneforum.org > Great Internet Mersenne Prime Search > Data

Reply
 
Thread Tools
Old 2020-07-09, 13:42   #518
Uncwilly
6809 > 6502
 
Uncwilly's Avatar
 
"""""""""""""""""""
Aug 2003
101×103 Posts

22F116 Posts
Default

Quote:
Originally Posted by GP2 View Post
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.
Uncwilly is online now   Reply With Quote
Old 2020-07-09, 20:33   #519
paulunderwood
 
paulunderwood's Avatar
 
Sep 2002
Database er0rr

5·701 Posts
Default

Quote:
Originally Posted by ATH View Post
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
paulunderwood is offline   Reply With Quote
Old 2020-07-09, 21:46   #520
Batalov
 
Batalov's Avatar
 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

918210 Posts
Default

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.
Batalov is offline   Reply With Quote
Old 2020-07-22, 05:31   #521
axn
 
axn's Avatar
 
Jun 2003

4,789 Posts
Default

Quote:
Originally Posted by GP2 View Post
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.
axn is offline   Reply With Quote
Old 2020-07-22, 05:34   #522
LaurV
Romulan Interpreter
 
LaurV's Avatar
 
Jun 2011
Thailand

8,963 Posts
Default

Yay!
LaurV is offline   Reply With Quote
Old 2020-09-02, 20:38   #523
kruoli
 
kruoli's Avatar
 
"Oliver"
Sep 2017
Porta Westfalica, DE

13·29 Posts
Default

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.
kruoli is online now   Reply With Quote
Old 2020-09-08, 23:51   #524
GP2
 
GP2's Avatar
 
Sep 2003

2·1,291 Posts
Default

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.
GP2 is offline   Reply With Quote
Old 2020-09-28, 04:04   #525
paulunderwood
 
paulunderwood's Avatar
 
Sep 2002
Database er0rr

1101101100012 Posts
Default

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
paulunderwood is offline   Reply With Quote
Old 2020-09-28, 04:52   #526
Prime95
P90 years forever!
 
Prime95's Avatar
 
Aug 2002
Yeehaw, FL

11100001110102 Posts
Default

Impressive. How long did that take?
Prime95 is offline   Reply With Quote
Old 2020-09-28, 08:49   #527
paulunderwood
 
paulunderwood's Avatar
 
Sep 2002
Database er0rr

5·701 Posts
Default

Quote:
Originally Posted by Prime95 View Post
Impressive. How long did that take?
4132590s (47.8 days) on Gelly's 32 core AMD Threadripper
paulunderwood is offline   Reply With Quote
Old 2020-09-28, 11:28   #528
James Heinrich
 
James Heinrich's Avatar
 
"James Heinrich"
May 2004
ex-Northern Ontario

320110 Posts
Default

Quote:
Originally Posted by paulunderwood View Post
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.
James Heinrich is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Smallest exponent for mersenne not-factored preda PrimeNet 10 2018-11-04 00:47
Largest Mersenne Number Fully Factored? c10ck3r Data 49 2017-12-10 19:39
Possibility of a Fully-Factored Number Trejack FactorDB 7 2016-05-14 05:38
Estimating the number of primes in a partially-factored number CRGreathouse Probability & Probabilistic Number Theory 15 2014-08-13 18:46
Number of distinct prime factors of a Double Mersenne number aketilander Operazione Doppi Mersennes 1 2012-11-09 21:16

All times are UTC. The time now is 18:30.

Fri Dec 4 18:30:02 UTC 2020 up 1 day, 14:41, 0 users, load averages: 1.73, 1.52, 1.51

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2020, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.