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International Zhautykov Olympiad
2005 International Zhautykov Olympiad
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Primes
Primes
Source: IZO 1 Junior Problem 6
December 16, 2008
number theory
relatively prime
number theory unsolved
Problem Statement
Find all prime numbers
p
,
q
p,q
p
,
q
less than 2005 and such that q|p^2 \plus{} 4, p|q^2 \plus{} 4.
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