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Topic:
Proof requested
Replies:
1
Last Post:
Jul 10, 1996 12:27 PM
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Proof requested
Posted:
Jul 9, 1996 10:52 PM
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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
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