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17
2016 Guts #17
2016 Guts #17
Source:
December 24, 2016
Problem Statement
Compute the sum of all integers
1
≤
a
≤
10
1 \le a \le 10
1
≤
a
≤
10
with the following property: there exist integers
p
p
p
and
q
q
q
such that
p
p
p
,
q
q
q
,
p
2
+
a
p^2+a
p
2
+
a
and
q
2
+
a
q^2+a
q
2
+
a
are all distinct prime numbers.
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