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2010 ITAMO
6
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Part of
2010 ITAMO
Problems
(1)
infinitely many such primes
Source:
2/28/2012
Prove that there are infinitely many prime numbers that divide at least one integer of the form
2
n
3
+
1
ā
3
n
2
+
1
+
5
n
+
1
2^{n^3+1}-3^{n^2+1}+5^{n+1}
2
n
3
+
1
ā
3
n
2
+
1
+
5
n
+
1
where
n
n
n
is a positive integer.
number theory
prime numbers
number theory proposed