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Revision as of 09:15, 31 July 2023
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 | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All USAMO Problems and Solutions | ||
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