Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: A conjecture for sets of four primes
Replies: 12   Last Post: Oct 14, 2013 8:11 PM

 Messages: [ Previous | Next ]
 Luis A. Rodriguez Posts: 748 Registered: 12/13/04
Re: A conjecture for sets of four primes
Posted: Oct 11, 2013 1:24 PM

El viernes, 11 de octubre de 2013 12:07:04 UTC-4:30, Ludovicus escribió:
> "Any square of an even number can be decomposed as the sums of 4 prime numbers.
>
> The sum of the squares of one of the sets is another square."
>
> The first part is based in Goldbach's Conjecture. The second I suppose is a new conjecture.

The even number must be >4 .
For having the sum of four squares of primes the square must be even. Because only the square of an even number >=4 can be the sum of of two even numbers >4

Date Subject Author
10/11/13 Luis A. Rodriguez
10/11/13 Brian Q. Hutchings
10/11/13 Pubkeybreaker
10/11/13 gnasher729
10/11/13 Luis A. Rodriguez
10/11/13 Pubkeybreaker
10/11/13 quasi
10/11/13 gnasher729
10/12/13 quasi
10/13/13 Luis A. Rodriguez
10/13/13 quasi
10/14/13 gnasher729
10/14/13 gnasher729