mersenneforum.org  

Go Back   mersenneforum.org > Prime Search Projects > Prime Gap Searches

Reply
 
Thread Tools
Old 2021-11-01, 05:46   #67
CraigLo
 
Mar 2021

3B16 Posts
Default

This approach is only useful when it is needed to guarantee that a number is prime. For prime gap searches that probably means only maximal gap searches where we want to make sure we haven't missed any large gaps. The approach requires knowing all primes up to sqrt(N) so it couldn't be used for very large numbers. It might be useful up to 280.
CraigLo is offline   Reply With Quote
Old 2022-03-01, 23:49   #68
Bobby Jacobs
 
Bobby Jacobs's Avatar
 
May 2018

2·33·5 Posts
Default

How far have you gotten in your search now? Have you found any new large prime gaps just above 264? Have you proven that 1552 and 1572 are maximal prime gaps?
Bobby Jacobs is offline   Reply With Quote
Old 2022-03-02, 03:17   #69
rudy235
 
rudy235's Avatar
 
Jun 2015
Vallejo, CA/.

2·5·113 Posts
Default

Quote:
Originally Posted by Bobby Jacobs View Post
How far have you gotten in your search now? Have you found any new large prime gaps just above 264? Have you proven that 1552 and 1572 are maximal prime gaps?
I think that is a valid question. But I don’t think CraigLo would have forgotten to tell us.
rudy235 is offline   Reply With Quote
Old 2022-05-07, 14:01   #70
Bobby Jacobs
 
Bobby Jacobs's Avatar
 
May 2018

27010 Posts
Default

Well, Craig has not been on this site in a while. Does anybody else know how to prove the new maximal prime gaps?
Bobby Jacobs is offline   Reply With Quote
Old 2022-07-19, 17:34   #71
rudy235
 
rudy235's Avatar
 
Jun 2015
Vallejo, CA/.

113010 Posts
Default

Quote:
Originally Posted by Bobby Jacobs View Post
Well, Craig has not been on this site in a while. Does anybody else know how to prove the new maximal prime gaps?
it is “simple” each and every prime gap over a certain number (over 1400 or 1300 is a good bet) needs to be verified from 264 to 264 +2.33 X1016.
As far as I know ATH had checked up to 264 +1.05 X1016.
The first gaps that are still not known to be a first occurrence are
  • *1432
    *1444
    *1458
    *1472
    *1474
    *1480
    *1484
    *1492
    *1498
    *1500
    *1496
. If anyone know if any of this gaps has been proven to be a first occurrence, please let us know.

When the search is completed up to 18470057946260698231 ie 264 +2.33 X1016. then it will be (hopefully a new maximal gap.
rudy235 is offline   Reply With Quote
Old 2022-08-13, 18:29   #72
Bobby Jacobs
 
Bobby Jacobs's Avatar
 
May 2018

2×33×5 Posts
Default

We should try to confirm these gaps ASAP. Where is the program to do it?
Bobby Jacobs is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Guess the next maximal prime gap. Bobby Jacobs Prime Gap Searches 7 2022-08-28 12:12
Gaps between maximal prime gaps Bobby Jacobs Prime Gap Searches 52 2020-08-22 15:20
Superprime gaps Bobby Jacobs Prime Gap Searches 5 2019-03-17 20:01
Top 50 gaps robert44444uk Prime Gap Searches 1 2018-07-10 20:50
Gaps and more gaps on <300 site gd_barnes Riesel Prime Search 11 2007-06-27 04:12

All times are UTC. The time now is 10:48.


Sun Sep 25 10:48:50 UTC 2022 up 38 days, 8:17, 0 users, load averages: 1.70, 1.70, 1.37

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 𝛴𝜎𝜍 𝛵𝜏 𝛶𝜐 𝛷𝜙𝜑 𝛸𝜒 𝛹𝜓 𝛺𝜔