benchmarks.wiki / Public workspace

Omni-MATH / Compute the sum of all positive integers n for which 9√(n)+4√(n+2)−3√(n+16) is an integer.

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Compute the sum of all positive integers nn for which 9n+4n+2−3n+169 \sqrt{n}+4 \sqrt{n+2}-3 \sqrt{n+16} is an integer.
Plain-text mathematical notation (without MathML)
Compute the sum of all positive integers n for which 9√(n)+4√(n+2)−3√(n+16) is an integer.
Original LaTeX notation
Compute the sum of all positive integers $n$ for which $9 \sqrt{n}+4 \sqrt{n+2}-3 \sqrt{n+16}$ is an integer.

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

Official source

initial import