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4
HMMT Team 2019/4: Many composites in 1, ..., n!-1
HMMT Team 2019/4: Many composites in 1, ..., n!-1
Source:
February 17, 2019
HMMT
number theory
Problem Statement
Find all positive integers
n
n
n
for which there do not exist
n
n
n
consecutive composite positive integers less than
n
!
n!
n
!
.
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