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Baltic Way
1992 Baltic Way
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Part of
1992 Baltic Way
Problems
(1)
p + q is divisible by ...
Source: Baltic Way 1992
8/4/2012
Let
p
,
q
p,q
p
,
q
be two consecutive odd prime numbers. Prove that
p
+
q
p+q
p
+
q
is a product of at least
3
3
3
natural numbers greater than
1
1
1
(not necessarily different).
number theory proposed
number theory