mersenneforum.org  

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

Reply
 
Thread Tools
Old 2019-02-06, 09:58   #1
enzocreti
 
Mar 2018

32·59 Posts
Default Pg primes with exponent multiple of 201

The pg(k) numbers are formed by the concatenation of two consecutive Mersenne numbers...

pg(k)=(2^k-1)*10^d+2^(k-1)-1 where d is the number of decimal digits of 2^(k-1)-1

example pg(1)=10
pg(2)=31
pg(3)=73...


Consider when k is multiple of 201 and pg(k) is prime.
This happens for k=6231 and k=51456


6231/61 and 51456/61 will have the same 60 digit repeating term 147540...2131.
Why?
enzocreti is offline   Reply With Quote
Old 2019-02-06, 10:03   #2
axn
 
axn's Avatar
 
Jun 2003

122258 Posts
Default

Quote:
Originally Posted by enzocreti View Post
6231/61 and 51456/61 will have the same 60 digit repeating term 147540...2131.
Why?
What does 1/61 look like?

Last fiddled with by enzocreti on 2019-02-06 at 10:13
axn is offline   Reply With Quote
Old 2019-02-06, 10:14   #3
enzocreti
 
Mar 2018

32×59 Posts
Default THE SAME?

the same?
enzocreti is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Is there a way to check a certain exponent for whether or not (2^that exponent) - 1 is a prime? shubhra Information & Answers 6 2022-01-03 22:17
Linux and multiple GPU bgbeuning GPU Computing 52 2016-06-09 05:26
Using multiple PCs numbercruncher Information & Answers 18 2014-04-17 00:17
Help trying to put multiple lines with same exponent in worktodo.ini donttnod Factoring 2 2005-01-22 16:53
Multiple systems/multiple CPUs. Best configuration? BillW Software 1 2003-01-21 20:11

All times are UTC. The time now is 09:07.


Fri Jan 21 09:07:24 UTC 2022 up 182 days, 3:36, 0 users, load averages: 1.72, 2.08, 2.03

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 𝛴𝜎 𝛵𝜏 𝛶𝜐 𝛷𝜙𝜑 𝛸𝜒 𝛹𝜓 𝛺𝜔