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2019 Nepal TST
P1
NEPAL TST 2019
NEPAL TST 2019
Source:
May 14, 2019
number theory
Problem Statement
Prove that there exist infinitely many pairs of different positive integers
(
m
,
n
)
(m, n)
(
m
,
n
)
for which
m
!
n
!
m!n!
m
!
n
!
is a square of an integer.Proposed by Anton Trygub
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