mersenneforum.org  

Go Back   mersenneforum.org > Prime Search Projects > Proth Prime Search

Reply
 
Thread Tools
Old 2021-12-02, 08:04   #12
kar_bon
 
kar_bon's Avatar
 
Mar 2006
Germany

2·5·293 Posts
Default

...but it's a Proth-type prime, not Riesel, false thread.

Moderator note: Previous post moved from Riesel thread and parked in this one

Last fiddled with by Dr Sardonicus on 2021-12-02 at 13:21
kar_bon is offline   Reply With Quote
Old 2021-12-02, 15:13   #13
rudy235
 
rudy235's Avatar
 
Jun 2015
Vallejo, CA/.

42816 Posts
Default

Thanks
rudy235 is offline   Reply With Quote
Old 2021-12-02, 18:08   #14
Batalov
 
Batalov's Avatar
 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

227408 Posts
Thumbs up

It is one of the Extended Sierpinski Project.

(That is, proving the next Sierpinski constant, while proving the first one is still on the 'eliminate last five k values' stage.)
Batalov is offline   Reply With Quote
Old 2021-12-16, 02:08   #15
rudy235
 
rudy235's Avatar
 
Jun 2015
Vallejo, CA/.

100001010002 Posts
Default OFFICIAL ANNOUNCEMENT

Quote:
Originally Posted by rudy235 View Post

13 202705 · 221320516 + 1 6418121 L5181 Dec 2021
(Unverified because InProcess)


Congratulations to Pavel Atnashev and PrimeGrid
OFFICIAL ANNOUNCEMENt IS HERE

PrimeGrid’s
Extended Sierpinski Problem Prime Search

On 25 November 2021, 03:19:26 UTC, PrimeGrid's Extended Sierpinski Problem found the
Mega Prime:
202705*221320516+1
The prime is 6,418,121 digits long and will enter Chris Caldwell's “The Largest Known Primes
Database” (http://primes.utm.edu/primes) ranked 13th overall. This find eliminates k=202705; 8
k's remain in the Extended Sierpinski Problem.
The discovery was made by Pavel Atnashev of Russia using an Intel(R) Xeon(R) E5-2695 v2
CPU @ 2.40GHz with 16GB RAM running Tiny Core Linux. This computer took about 10 hours,
59 minutes to complete the primality test using LLR2. Pavel Atnashev is a member of Ural
Federal University.
Credits for the discovery are as follows:
  1. Pavel Atnashev (Russia), discoverer
  2. PrimeGrid, et al.
  3. Srsieve, sieving program developed by Geoff Reynolds
  4. LLR, primality program developed by Jean Penné
  5. LLR2, primality program developed by Pavel Atnashev
  6. OpenPFGW, a primality program developed by Chris Nash & Jim Fougeron with maintenance and improvements by Mark Rodenkirch
Entry in "The Largest Known Primes Database" can be found here:

https://primes.utm.edu/primes/page.php?id=133011

OpenPFGW, a primality program developed by Chris Nash & Jim Fougeron, was used to check
for Fermat Number divisibility (including generalized and extended). For more information
about Fermat and generalized Fermat Number divisors, please see Wilfrid Keller's sites:

http://www.prothsearch.com/fermat.html
http://www.prothsearch.com/GFNfacs.html

No generalized and extended generalized Fermat number divisors were discovered with this
prime find.

Using a single PC would have taken years to find this prime. So this timely discovery would not
have been possible without the thousands of volunteers who contributed their spare CPU
cycles. A special thanks to everyone who contributed their advice and/or computing power to
the search - especially all the sievers who work behind the scenes to make a find like this
possible.

The Extended Sierpinski Problem Prime Search will continue to seek even larger primes. To join
the search please visit PrimeGrid: http://www.primegrid.com

Last fiddled with by Dr Sardonicus on 2021-12-16 at 22:48 Reason: Formatting (superscript exponent)
rudy235 is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Proth and Riesel Primes lukerichards Number Theory Discussion Group 7 2018-01-20 16:47
(NEW) Proth Primes Section kar_bon Riesel Prime Data Collecting (k*2^n-1) 6 2010-11-25 13:39
some primes I found with Proth.exe last year ixfd64 Lounge 1 2005-09-07 23:42
64-bit proth sieve possible??? VJS Software 0 2005-05-27 17:32
Last possible proth tested! Deamiter PSearch 3 2003-03-03 03:19

All times are UTC. The time now is 14:00.


Sat Jan 29 14:00:12 UTC 2022 up 190 days, 8:29, 2 users, load averages: 0.80, 1.19, 1.44

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2022, 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.

≠ ± ∓ ÷ × · − √ ‰ ⊗ ⊕ ⊖ ⊘ ⊙ ≤ ≥ ≦ ≧ ≨ ≩ ≺ ≻ ≼ ≽ ⊏ ⊐ ⊑ ⊒ ² ³ °
∠ ∟ ° ≅ ~ ‖ ⟂ ⫛
≡ ≜ ≈ ∝ ∞ ≪ ≫ ⌊⌋ ⌈⌉ ∘ ∏ ∐ ∑ ∧ ∨ ∩ ∪ ⨀ ⊕ ⊗ 𝖕 𝖖 𝖗 ⊲ ⊳
∅ ∖ ∁ ↦ ↣ ∩ ∪ ⊆ ⊂ ⊄ ⊊ ⊇ ⊃ ⊅ ⊋ ⊖ ∈ ∉ ∋ ∌ ℕ ℤ ℚ ℝ ℂ ℵ ℶ ℷ ℸ 𝓟
¬ ∨ ∧ ⊕ → ← ⇒ ⇐ ⇔ ∀ ∃ ∄ ∴ ∵ ⊤ ⊥ ⊢ ⊨ ⫤ ⊣ … ⋯ ⋮ ⋰ ⋱
∫ ∬ ∭ ∮ ∯ ∰ ∇ ∆ δ ∂ ℱ ℒ ℓ
𝛢𝛼 𝛣𝛽 𝛤𝛾 𝛥𝛿 𝛦𝜀𝜖 𝛧𝜁 𝛨𝜂 𝛩𝜃𝜗 𝛪𝜄 𝛫𝜅 𝛬𝜆 𝛭𝜇 𝛮𝜈 𝛯𝜉 𝛰𝜊 𝛱𝜋 𝛲𝜌 𝛴𝜎 𝛵𝜏 𝛶𝜐 𝛷𝜙𝜑 𝛸𝜒 𝛹𝜓 𝛺𝜔