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Pre-Preparation Course Examination
2007 Pre-Preparation Course Examination
21
On equation p^q-q^p=pq^2-1-Iran 3rd round-Number Theory 2007
On equation p^q-q^p=pq^2-1-Iran 3rd round-Number Theory 2007
Source:
July 28, 2010
number theory
number theory unsolved
Problem Statement
Find all primes
p
,
q
p,q
p
,
q
such that
p
q
−
q
p
=
p
q
2
−
19
p^q-q^p=pq^2-19
p
q
−
q
p
=
p
q
2
−
19
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