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2020 Latvia Baltic Way TST
15
Prime number and perfect cube
Prime number and perfect cube
Source: Latvian TST for Baltic Way 2020 P15
October 18, 2020
number theory
prime numbers
Problem Statement
Let
p
p
p
be a prime. Prove that
p
2
+
p
+
1
p^2+p+1
p
2
+
p
+
1
is never a perfect cube.
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