ON THE DIOPHANTINE EQUATION p^x+(p+10)^y=z^2 WHEN p AND p+10 ARE PRIMES
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Abstract
In this paper, we study the non-negative i
This paper, reports the non-negative integer solutions of the Diophantine equation , when and are primes. It proved that if is an even integer, then this equation has no non-negative integer solution. If is an even integer, then this equation has only two non-negative integer solutions which are.
teger solutions of the Diophantine equation
, where
and
are primes. We prove that if
is an even integer, then this equation has no non-negative integer solution. If
is an even integer, then this equation has only two non-negative integer solutions which are
.
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References
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