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Moscow Mathematical Olympiad
1955 Moscow Mathematical Olympiad
290
290
Part of
1955 Moscow Mathematical Olympiad
Problems
(1)
MMO 290 Moscow MO 1955 n^2 + n + 1 divisible by 1955
Source:
8/17/2019
Is there an integer
n
n
n
such that
n
2
+
n
+
1
n^2 + n + 1
n
2
+
n
+
1
is divisible by
1955
1955
1955
?
number theory
divisible
Divide