mersenneforum.org  

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

Reply
 
Thread Tools
Old 2020-02-13, 12:52   #1
enzocreti
 
Mar 2018

72·11 Posts
Default Constellations of multiples of 3 in this sequence

47, 51, 52, 59, 68, 70, 75, 79, 90, 94,95, 102, 111


This is a sequence of numbers that reduced mod 41 are powers.


Are there infinitely many primes in this sequence?

Last fiddled with by enzocreti on 2020-02-13 at 14:00
enzocreti is offline   Reply With Quote
Old 2020-02-14, 07:15   #2
LaurV
Romulan Interpreter
 
LaurV's Avatar
 
"name field"
Jun 2011
Thailand

19×541 Posts
Default

Quote:
Originally Posted by enzocreti View Post
47, 51, 52, 59, 68, 70, 75, 79, 90, 94,95, 102, 111
This is a sequence of numbers that reduced mod 41 are powers.
Are there infinitely many primes in this sequence?
Really? Whose power is 6? (i.e. .47 (mod 41))
LaurV is offline   Reply With Quote
Old 2020-02-14, 12:20   #3
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

368210 Posts
Default

Quote:
Originally Posted by enzocreti View Post
47, 51, 52, 59, 68, 70, 75, 79, 90, 94,95, 102, 111


This is a sequence of numbers that reduced mod 41 are powers.


Are there infinitely many primes in this sequence?
Of course!!! By Dirichlet's theorem on arithmetic progressions, there are infinitely many primes = 4 mod 41, thus there are infinitely many such primes.
sweety439 is offline   Reply With Quote
Old 2020-02-14, 12:21   #4
sweety439
 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

2×7×263 Posts
Default

Quote:
Originally Posted by enzocreti View Post
47, 51, 52, 59, 68, 70, 75, 79, 90, 94,95, 102, 111


This is a sequence of numbers that reduced mod 41 are powers.


Are there infinitely many primes in this sequence?
Wait!!! 47%41 = 6, and 6 is not perfect power....
sweety439 is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Prime Constellations MattcAnderson MattcAnderson 160 2022-07-18 08:34
Twin Prime Constellations robert44444uk Prime Gap Searches 45 2022-02-24 18:28
Prime constellations? CRGreathouse Software 10 2017-07-14 09:45
Methods to determine integer multiples dsouza123 Math 6 2006-11-18 16:10

All times are UTC. The time now is 16:05.


Thu Feb 2 16:05:27 UTC 2023 up 168 days, 13:34, 1 user, load averages: 1.54, 1.17, 1.02

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