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Chisinau City MO
1979 Chisinau City MO
174
Chisinau MO p174 1979 IX any odd a, exista b such 2^b-1 divisible by a
Chisinau MO p174 1979 IX any odd a, exista b such 2^b-1 divisible by a
Source:
March 17, 2021
number theory
odd
divides
divisible
Problem Statement
Prove that for any odd number
a
a
a
there exists an integer
b
b
b
such that
2
b
ā
1
2^b-1
2
b
ā
1
is divisible by
a
a
a
.
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