mersenneforum.org  

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

Reply
 
Thread Tools
Old 2022-09-19, 09:28   #1
enzocreti
 
Mar 2018

2×269 Posts
Default numbers of the form 24n+2

Is it correct that every number of the form 24n+2 cannot be of the form 3m+1? for m,n positive integers?


mod 3 this should yeld to 2=1 mod 3?


using chinese remainder theorem

only numbers 4+6k can be of the form 3g+1

24n+2 is not 4 mod 6

Last fiddled with by enzocreti on 2022-09-19 at 09:43
enzocreti is offline   Reply With Quote
Old 2022-09-20, 14:50   #2
LaurV
Romulan Interpreter
 
LaurV's Avatar
 
"name field"
Jun 2011
Thailand

2×47×109 Posts
Default

Quote:
Originally Posted by enzocreti View Post
only numbers 4+6k can be of the form 3g+1
is it true that 13 is a number that doesn't exist?
LaurV is offline   Reply With Quote
Old 2022-09-20, 19:19   #3
science_man_88
 
science_man_88's Avatar
 
"Forget I exist"
Jul 2009
Dartmouth NS

2×3×23×61 Posts
Default

Quote:
Originally Posted by LaurV View Post
is it true that 13 is a number that doesn't exist?
Or the trivial 1
science_man_88 is offline   Reply With Quote
Old 2022-09-21, 07:35   #4
enzocreti
 
Mar 2018

10328 Posts
Default odd

Quote:
Originally Posted by LaurV View Post
is it true that 13 is a number that doesn't exist?
but 13 is odd
enzocreti is offline   Reply With Quote
Old 2022-09-21, 15:49   #5
LaurV
Romulan Interpreter
 
LaurV's Avatar
 
"name field"
Jun 2011
Thailand

2·47·109 Posts
Default

Quote:
Originally Posted by enzocreti View Post
but 13 is odd
yes, and very unlucky!
LaurV is offline   Reply With Quote
Old 2022-09-21, 15:59   #6
slandrum
 
Jan 2021
California

487 Posts
Default

Quote:
Originally Posted by enzocreti View Post
Is it correct that every number of the form 24n+2 cannot be of the form 3m+1? for m,n positive integers?
Well, lets do a simple substitution - if we say n = 8m, then you are asking if 24n+2 can ever be of the form 24n+1 (or if 3m+2 can be of the form 3m+1)
Now do you see the answer?

Last fiddled with by slandrum on 2022-09-21 at 16:02
slandrum is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Numbers of the form (23*(2^q+1) + or - (6^m-1)*(2^n-1))/2^w enzocreti enzocreti 1 2020-03-05 18:07
Numbers sum of two cubes and product of two numbers of the form 6^j+7^k enzocreti enzocreti 2 2020-02-16 03:24
Numbers of the form 41s+p or 43s+p enzocreti enzocreti 0 2020-02-12 12:07
Numbers of the form 41s+r enzocreti enzocreti 4 2019-02-13 21:55
Numbers of the form 1!+2!+3!+... ricky Factoring 41 2018-10-01 11:54

All times are UTC. The time now is 00:46.


Wed Dec 7 00:46:52 UTC 2022 up 110 days, 22:15, 0 users, load averages: 1.69, 1.11, 0.98

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