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2018 CHMMC (Fall)
3
2018 Fall Team #3
2018 Fall Team #3
Source:
April 17, 2022
number theory
Problem Statement
Let
p
p
p
be the third-smallest prime number greater than
5
5
5
such that:
∙
\bullet
∙
2
p
+
1
2p + 1
2
p
+
1
is prime, and
∙
\bullet
∙
5
p
≢
1
5^p \not\equiv 1
5
p
≡
1
(mod
2
p
+
1
2p + 1
2
p
+
1
). Find
p
p
p
.
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