mersenneforum.org  

Go Back   mersenneforum.org > Great Internet Mersenne Prime Search > Math > Number Theory Discussion Group

Reply
 
Thread Tools
Old 2017-07-28, 20:34   #1
bhelmes
 
bhelmes's Avatar
 
Mar 2016

34×5 Posts
Default Use of new Mersenne conjecture ?

A peaceful night for you,

Is there a relationship between the primes of the form
2^p-1 and (2^p+1)/3.

Or in other words, there are two quadratic polynomials:
f(n)=2n^2-1 =(sqrt (2)n-1)*(sqrt (2)n+1) and
f(m)=2m^2+1=(sqrt (2)m-i)*(sqrt (2)m+i) (i is the complex part)

Both could be used for primesieving by a described algorithm:

http://devalco.de/quadr_Sieb_2x%5E2-1.php
http://devalco.de/quadr_Sieb_2x%5E2+1.php

Is there a conection between these two prime generators
what the new Mersenne conjecture suggest ?

Greetings from the primes
Bernhard
bhelmes is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
New Mersenne Conjecture ATH Math 28 2021-08-05 05:50
Mersenne Conjecture sascha77 Math 15 2010-05-08 00:33
conjecture about mersenne numbers sascha77 Math 2 2010-01-07 08:06
The New Mersenne Conjecture Dougy Math 32 2008-10-26 07:17
New Mersenne and Cunningham conjecture olivier_latinne Math 54 2008-03-12 10:04

All times are UTC. The time now is 14:42.


Fri Aug 19 14:42:55 UTC 2022 up 1 day, 12:11, 2 users, load averages: 1.80, 1.75, 1.65

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