perplexus.info :: Numbers : N does not have this form

N does not have this form (Posted on 2024-10-17)

Determine all possible values of a nonnegative integer k, such that k is NOT expressible in the form:

N+floor(√N+1/2)

for some integer N.

*** Adapted from a problem appearing in the IMO longlist.

No Solution Yet Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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Probable solution without proof

| Comment 1 of 3

Perfect squares cannot be expressed in this way

Posted by Larry on 2024-10-18 10:45:10

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