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2022 Alg/NT Div 1 P1 (Div 2 P3)

Source:

February 28, 2022
algebranumber theory

Problem Statement

How many 4-digit numbers have exactly 99 divisors from the set {1,2,3,4,5,6,7,8,9,10}\{1,2,3,4,5,6,7,8,9,10\}?
Proposed by Ethan Gu
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