Jud I intend to put up completely. I am in the process of developing the proof document (much slower because my children are on holiday) Even though my...
Hello, I hope this question is germane to this group, and reasonable. Modular arithmetic is also known as clock arithmetic therefore my question is: Given a...
... Yes, use the Chinese Remainder Theorem: http://mathworld.wolfram.com/ChineseRemainderTheorem.html In fact, you can use a weaker version, if you assume that...
do the following (note the plus/minus and what it equals also notice the 137 and 173 between the two groups): factor ((23#)^3 +/- 1) = 2^12 * 3 * 5^12 * 137 *...
Hi all, Some observations follow. These will be old news to number theorists (I assume), but I've found it quite interesting. I make no guarantee that the...
Mark, Please humor a newbie; I'm not sure I understand what "has a solution" means in context of this message. ... theorists ... guarantee ... correct :) ... ...
Hi Michael Yes I wasn't very clear. Here's an example. The prime 17 is in the mod8==1 group. (Actually the smallest member.) According to the model there...
... Fermat has proven that all primes p == 1 mod 4 are uniquely represented as a sum of two squares, while primes p == 3 mod 4 have no such representation. p ...
Thank you Decio and Dario Decio I looked up Fermat's "4n+1" Theorem and it is as you say, and proved by Euler. (That is, every prime of the form 4n+1 can be ...
Mark wrote: <<Compare this to the composite number 100521. x^2 + y^2 = 100521 has 2 solutions.>> 100521=3^4*17*73 For a prime to be sum of 2 squares ,one must...
As they relate to primes, of course :) Fun with successive numbers: 18,164,161 is a prime times 1 18,164,162 is a prime times 2 18,164,163 is a prime times 3 ...
... 2,918,756,139,031,688,155,200 + k is a prime times k, for k = 1..14 See http://www.primepuzzles.net/puzzles/puzz_181.htm 5,516,280 + k is the smallest...
Hi Jens The (N+k)/k prime puzzle. If I've read it before I don't remember it! Perhaps it was posted on this site a year ago or so when I was visiting, and it...
Was just listening now to the last spanish tv -news and they were talking about a story of the danish writer Andersen called (at least in spanish) : The ugly...
Mark, What if you did this: 788 = 61 + 727 {61,727} twin p,p+2 {59,61} cousin p,p+4 {none} sexy p,p+6 {61,67},{727,733} See now you can state it as one twin...
I claim that the following primes are unnecessary for GC. 11, 17, 29, 41, 59, 67, 71, 73, 89, 97, 103, 127, 137, 149, ... Here are the even numbers up to 400...
Hi all, Can anyone tell me, the best method to post a proof proposal? Do I simply type it into this posting window? It it quite short! Chris. Edinburgh, UK. ...
And how do you know that there aren't even numbers bigger than 400 that would need 11, 17... as necessary primes for achieve GC? Do you have a proof? If not,...
You can either post it in plain text in an email here, or upload it in pdf or postscript format in a webpage, sending us (and anyone more you trust) the link...
but you never know what is unnecessary and what is not... just that 11 doesn't alone play a role until 400 doesn't mean that it doesn't play a role at all.. ...
... I have numerical evidence up to 30000. ... Of course I don't have a proof. :) I'm appealing to just numerical evidence. I would be curious to see the...
Hi, I would be very interested to know the best possible primality testing technique the world ever knew. Best in terms of Checking speed and the magnitude of...
... Specify the size of the integers! IMO: For the first primes the best algorithm is a lookup table. If they are a little larger, trial division (when...
First me need some definitions : A Minimal GC-set , M-GC(N), is a set of prime numbers of minimal cardinality, which may be used to build the even numbers up...
Based on your great idea John, we'll tighten Goldbach's conjecture and say that any even number > 4 is the sum of two primes, one a prime twin and the other a...
I remember reading about a similar problem a while ago and I came across this paper by Patson MR1812793 (2001m:11010) Patson, Noel(5-CQLI) Interesting property...
Chris Cadwell wrote: <<Of course the above assume (semi)sequential computing. Quantum computing will change the world, just not for awhile yet.>> Do you mean...
