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pos. integer a , such that 7an -3n! = 2020 has a positive integer solutions

Source: 2020 Austrian Mathematical Olympiad Junior Regional Competition , Problem 4

December 18, 2020
Diophantine equationdiophantinenumber theory

Problem Statement

Find all positive integers aa for which the equation 7anāˆ’3n!=20207an -3n! = 2020 has a positive integer solution nn.
(Richard Henner)
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