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Baltic Way
1999 Baltic Way
19
baltic99
baltic99
Source: Baltic Way 1999
August 16, 2003
number theory solved
number theory
Problem Statement
Prove that there exist infinitely many even positive integers
k
k
k
such that for every prime
p
p
p
the number
p
2
+
k
p^2+k
p
2
+
k
is composite.
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