2020 USAMO Problems/Problem 3
Problem
Let be an odd prime. An integer
is called a quadratic non-residue if
does not divide
for any integer
.
Denote by the set of all integers
such that
, and both
and
are quadratic non-residues. Calculate the remainder when the product of the elements of
is divided by
.
Solution
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2020 USAMO (Problems • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
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