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Moscow Mathematical Olympiad
1941 Moscow Mathematical Olympiad
085
085
Part of
1941 Moscow Mathematical Olympiad
Problems
(1)
MMO 085 Moscow MO 1941 p^2 mod 12 is 1, where p prime
Source:
7/18/2019
Prove that the remainder after division of the square of any prime
p
>
3
p > 3
p
>
3
by
12
12
12
is equal to
1
1
1
.
prime
remainder
number theory