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JBMO TST - Moldova
2006 Junior Balkan Team Selection Tests - Moldova
2
Poblem 2 (jbmo tst), moldova
Poblem 2 (jbmo tst), moldova
Source: JBMO TST, Moldova
March 31, 2006
number theory proposed
number theory
Problem Statement
Prove that there infinitely many numbers of the form
1
8
m
+
4
5
m
+
5
0
m
+
12
5
m
18^{m}+45^{m}+50^{m}+125^{m}
1
8
m
+
4
5
m
+
5
0
m
+
12
5
m
, divisible by 2006.
m
ā
N
m\in N
m
ā
N
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