Monthly Archives: June 2024

Solution: 2024-10 Supremum

Find
sup
where the supremum is taken over all monotone decreasing sequences of positive numbers (x_i) such that \sum_{i=1}^{\infty} x_i < \infty .

The best solution was submitted by 김준홍 (KAIST 수리과학과 20학번, +4). Congratulations!

Here is the best solution of problem 2024-10.

There were incorrect solutions submitted.

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Solution: 2024-09 Integer sums

Find all positive numbers a_1,…,a_{5} such that a_1^\frac{1}{n} + \cdots + a_{5}^\frac{1}{n} is integer for every integer n\geq 1.

The best solution was submitted by 권오관 (연세대학교 수학과 22학번, +4). Congratulations!

Here is the best solution of problem 2024-09.

Other solutions were submitted by 김준홍 (KAIST 수리과학과 20학번, +3), 김지원 (KAIST 새내기과정학부 24학번, +3), 박지운 (KAIST 새내기과정학부 24학번, +3), 신정연 (KAIST 수리과학과 21학번, +3), 이명규 (KAIST 전산학부 20학번, +3), 정영훈 (KAIST 새내기과정학부 24학번, +3), 채지석 (KAIST 수리과학과 석박통합과정 21학번, +3), Anar Rzayev (KAIST 전산학부 19학번, +3).

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