Open Problem Garden - DIS-PROOF OF BEALS CONJECTURE - Comments

beals conjecture (re: DIS-PROOF OF BEALS CONJECTURE)

lalitha — Wed, 24 Apr 2013 13:45:03 +0200

why dont we take A(pwr)x=2n+1 and B(pwr)y=2n.he said to add 2 co-primes dnt even&odd numbers are co-prime.iam representing odd number as 2n+1 and even number as 2n

mistake (re: DIS-PROOF OF BEALS CONJECTURE)

eddybob123 — Wed, 24 Apr 2013 01:18:35 +0200

For those interested, the statement of the problem is wrong and the step "let us take A(pwr)x=2n+1 B(pwr)y=2n" is incorrect (there may exist no such n). The following Aaronson signs apply: 1, 2, 3 (would imply no triples rather than no coprime triples), 6, 7, and 10.

DIS-PROOF OF BEALS CONJECTURE

lalitha — Tue, 23 Apr 2013 10:00:27 +0200

Author(s):

Subject: Number Theory » Additive N.T.

If A(pwr)x+B(pwr)y=C(pwr)z where A,B,C,x,y,z are positive integers and x,y,z>=2,then A,B,C must have a common prime factor.