perplexus.info :: Just Math : Only integer answers

Only integer answers (Posted on 2022-05-19)

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)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: computer confirmation

| Comment 3 of 9 |

(In reply to computer confirmation by Larry)

Thx, Larry!

INDEED:

S3(1) = 1^3 + 2^3 =9!!

That was a rather silly error on my part!!!

I confirm having suitably incorporated the said amendment.

Edited on May 19, 2022, 10:17 am

Posted by K Sengupta on 2022-05-19 10:13:43

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