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Proof requested
Posted:
Jul 9, 1996 10:52 PM


Given: x,y and z are relatively prime integers each > 1 and p is a prime > 5.
Consider the following equations:
x^2 = y^p + 1 (1) x^4  y^4 = z^p (2) Conjectures: Equation (1) cannot have any rational solution Equation (2) cannot have any integer solution
Any comment , reference or suggestion leading to a proof of each conjecture shall be appreciated.
regards, pomeli
PS: if you can also mail your response to me at pomeli@paul.rutgers.edu, it'll be helpful as I don't read the newsgroup frequently



