mersenneforum.org  

Go Back   mersenneforum.org > Extra Stuff > Blogorrhea > enzocreti

Reply
 
Thread Tools
Old 2020-02-29, 17:59   #1
enzocreti
 
Mar 2018

10328 Posts
Default Does m necessarily be of the form 215s+129?

Let be N an integer congruent to 344 mod 559.
Let be N either of the form 1763s+215 or 1763s+344.
Now consider N is congruent to m mod (41*43*13).
Does m necessarily be a number of the form 215k+129?
enzocreti is online now   Reply With Quote
Old 2020-03-01, 02:02   #2
carpetpool
 
carpetpool's Avatar
 
"Sam"
Nov 2016

5×67 Posts
Post

Quote:
Originally Posted by enzocreti View Post
Let be N an integer congruent to 344 mod 559.
Let be N either of the form 1763s+215 or 1763s+344.
Now consider N is congruent to m mod (41*43*13).
Does m necessarily be a number of the form 215k+129?
Ahhh, simple modular arithmetic:

N = {344 mod 559, 215 mod 1763} = 14319 mod 22919
N = {344 mod 559, 344 mod 1763} = 344 mod 22919

Now,

344 = 129 mod 215
14319 = 129 mod 215

So the answer to your question is yes. You should be able to do the computations yourself without any struggle they are quite easy.
carpetpool is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Numbers of the form 41s+r enzocreti enzocreti 4 2019-02-13 21:55
Does n have the form (a^p+-b^p)/(a+-b) for p > 2? carpetpool carpetpool 1 2017-01-30 13:36
Is there a prime of the form...... PawnProver44 Miscellaneous Math 9 2016-03-19 22:11
Primes of the form a^(2^n)+b^(2^n) YuL Math 21 2012-10-23 11:06
integers of the form (2 ^ t +1) / (2 ^ p + x) allasc Math 10 2011-01-26 18:43

All times are UTC. The time now is 14:03.


Sun Sep 25 14:03:11 UTC 2022 up 38 days, 11:31, 0 users, load averages: 0.89, 1.11, 1.12

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