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2
Integer quadruples s.t. p^m q^n = (p+q)^2 + 1
Integer quadruples s.t. p^m q^n = (p+q)^2 + 1
Source: VAIMO 2007, P2
January 3, 2009
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number theory unsolved
number theory
Problem Statement
Find all quadruple
(
m
,
n
,
p
,
q
)
ā
Z
4
(m,n,p,q) \in \mathbb{Z}^4
(
m
,
n
,
p
,
q
)
ā
Z
4
such that p^m q^n \equal{} (p\plus{}q)^2 \plus{} 1.
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