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33
E 33
E 33
Source:
May 25, 2007
modular arithmetic
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Problem Statement
Prove that there are no positive integers
a
a
a
and
b
b
b
such that for all different primes
p
p
p
and
q
q
q
greater than
1000
1000
1000
, the number
a
p
+
b
q
ap+bq
a
p
+
b
q
is also prime.
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