mersenneforum.org  

Go Back   mersenneforum.org > Great Internet Mersenne Prime Search > Hardware > GPU Computing

Reply
 
Thread Tools
Old 2012-04-07, 21:12   #12
rcv
 
Dec 2011

151 Posts
Default

Quote:
Originally Posted by Karl M Johnson View Post
So there's no real point in continuing a TF job after a factor was found ?
People also run ECM on numbers that already have two LL tests. Is there any point in that? If the only goal is proving or disproving Mersenne-primes, then no. But, there are other goals and other considerations. For example:
1. mfaktc (and I presume mfakto) do not search for primes in ascending order.
1a. I believe the "credit" awarded when a factor is found is assumes you have worked the numbers in ascending order, so unless you finish the bit-length, you will get more or less credit than you deserve.
1b. As axn indicates, you will not necessarily have found the smallest prime factor. I believe some research depends on knowing the smallest factor of a composite, but don't ask me for references.
2. As mentioned above, some people are attempting to fully factor the (smaller) Mersenne numbers. Completing the bit-range you have partially factored may aid such efforts in the future.
2a. I believe the gimps database only keep track to the bit-level of how far a number has been factored. For example, if you only do part of the 69- to 70-bit range, it knows there is a 70-bit factor, but it only remembers trial factoring has been completed to 69 bits. [Recent information makes me wonder if gimps actually retains this information after a factor has been found, but I'll need somebody else to answer that.]
3. Knowing how many factors of a given size exist may be helpful to researchers attempting to validate unproven hypotheses concerning distribution of factors in Mersenne numbers. [Related to 1b.]

Last fiddled with by rcv on 2012-04-07 at 21:14
rcv is offline   Reply With Quote
Reply



Similar Threads
Thread Thread Starter Forum Replies Last Post
Factor found that should have been found by P-1 tha Data 65 2020-08-05 21:11
F12 factor found? johnadam74 FermatSearch 16 2016-11-03 12:10
mfaktc: Mis-reported composite factor mattmill30 GPU Computing 1 2016-02-05 19:41
mfaktc TF credit 2x higher if factor found? S34960zz PrimeNet 10 2011-10-13 07:00
After a factor is found it keeps on going jocelynl Software 6 2004-08-07 01:31

All times are UTC. The time now is 15:11.


Fri Jul 7 15:11:30 UTC 2023 up 323 days, 12:40, 0 users, load averages: 0.80, 1.02, 1.09

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2023, 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 𝛴𝜎𝜍 𝛵𝜏 𝛶𝜐 𝛷𝜙𝜑 𝛸𝜒 𝛹𝜓 𝛺𝜔