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Mediterranean Mathematics Olympiad
2016 Mediterranean Mathematics Olympiad
4
4
Part of
2016 Mediterranean Mathematics Olympiad
Problems
(1)
Prime n^8 + n^6 + n^4 + 4
Source: Mediterranean Mathematics Olympiad 2016 P4
6/4/2016
Determine all integers
n
≥
1
n\ge1
n
≥
1
for which the number
n
8
+
n
6
+
n
4
+
4
n^8+n^6+n^4+4
n
8
+
n
6
+
n
4
+
4
is prime.(Proposed by Gerhard Woeginger, Austria)
number theory
prime