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Only integer answers (Posted on 2022-05-19) Difficulty: 3 of 5
Let

S(3)= 13+23+…+(2n)3
and
S(2)= 12+22+…+n2

For what integer values of n will the ratio r=S(3)/S(2) have an integer result?

List all existing answers.

Source: Russian Math Olympiad

See The Solution Submitted by Ady TZIDON    
Rating: 5.0000 (1 votes)

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  Posted by Sat Lat on 2023-08-29 14:45:02
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