perplexus.info :: Just Math : Cube Rooted and Squared Til 2023

Cube Rooted and Squared Til 2023 (Posted on 2023-02-08)

Determine ⌈N⌉, when it is known that:

       1         1                1
N = ------- + ------- + ... + ---------- 
    ⌈(1)^2/3⌉   ⌈(2)^2/3⌉        ⌈(2023)^2/3⌉

Note: ⌈p⌉ is the ceiling of p, which is equal to the least integer greater than or equal to p.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The sought for ceiling of N is 35.
For an explanation refer to the respective solutions submitted by Brian Smith and Charlie here and here.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Analytic attempt	Brian Smith	2023-02-08 11:29:47
computer evaluation (spoiler)	Charlie	2023-02-08 09:38:08

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