Re: [math-fun] Taxicab and prime numbers

10 Jan 2007

      My conjecture is that in a 3-way sum, at most two of the cubes can be cubes 
of primes.

----- Original Message ----- 
From: "Christian Boyer" <cboyer@club-internet.fr>
To: "'math-fun'" <math-fun@mailman.xmission.com>
Sent: Wednesday, January 10, 2007 3:08 AM
Subject: RE: [math-fun] Taxicab and prime numbers

Worst!
It seems impossible to find solutions of the more general equations:

(5)    p^3  +  q^3 =  r^3  +  s^3 = m^3  +  n^3
or
(6)    p^3 +/- q^3 =  r^3 +/- s^3 = m^3 +/- n^3

with   p, q, r, s   primes
       m, n         integers (primes or non-primes)

Why?
Christian.

Re: [math-fun] Taxicab and prime numbers

David Wilson