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070
MMO 070 Moscow MO 1940 2^x - x^2 is divisible by 7
MMO 070 Moscow MO 1940 2^x - x^2 is divisible by 7
Source:
July 18, 2019
divisible
number theory
Problem Statement
How many positive integers
x
x
x
less than
10000
10 000
10000
are there such that
2
x
ā
x
2
2^x - x^2
2
x
ā
x
2
is divisible by
7
7
7
?
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