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Paraguay Mathematical Olympiad
2023 Paraguay Mathematical Olympiad
4
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Part of
2023 Paraguay Mathematical Olympiad
Problems
(1)
Noble postitive integers OMAPA Paraguay 2023.4
Source:
3/26/2024
We say that a positive integer is Noble when: it is composite, it is not divisible by any prime number greater than
20
20
20
and it is not divisible by any perfect cube greater than
1
1
1
. How many different Noble numbers are there?
number theory