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India Pre-Regional Mathematical Olympiad
2019 India PRMO
14
Smallest Prime and Perfect Square of a smallest relation
Smallest Prime and Perfect Square of a smallest relation
Source:
August 11, 2019
prime
Perfect Square
relation
Problem Statement
Find the smallest positive integer
n
≥
10
n \geq 10
n
≥
10
such that
n
+
6
n + 6
n
+
6
is a prime and
9
n
+
7
9n + 7
9
n
+
7
is a perfect square.
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