perplexus.info :: Numbers : Triangular Cube

Triangular Cube (Posted on 2023-12-29)

If N is a nonnegative integer, the triangular number T(N)=1+2+3+...+N is given by N(N+1)/2.

Find a prime P such that the sum of the proper divisors of T(P) is a cube.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

P=2, 53 are the only values of p satisfying the given conditions.
For an explanation, refer to the solution submitted by Charlie in this location..

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

Subject	Author	Date
Computer solution	Larry	2023-12-29 10:47:48
computer solution	Charlie	2023-12-29 08:56:36

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