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2023 Thailand Mathematical Olympiad
1
1
Part of
2023 Thailand Mathematical Olympiad
Problems
(1)
Number theory
Source: 2023 Thailand MO Day 1 P1
5/11/2023
Let
A
A
A
be set of 20 consecutive positive integers, Which sum and product of elements in
A
A
A
not divisible by 23. Prove that product of elements in
A
A
A
is not perfect square
number theory