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National and Regional Contests
Russia Contests
Moscow Mathematical Olympiad
1953 Moscow Mathematical Olympiad
236
236
Part of
1953 Moscow Mathematical Olympiad
Problems
(1)
MMO 236 Moscow MO 1953 (n^2 + 8n + 15) not divisible by (n + 4)
Source:
8/9/2019
Prove that
n
2
+
8
n
+
15
n^2 + 8n + 15
n
2
+
8
n
+
15
is not divisible by
n
+
4
n + 4
n
+
4
for any positive integer
n
n
n
.
number theory
divisible