benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / Determine all pairs (a,b) of integers with the property that the numbers a²+4b and b²+4a are both perfect squares.

Problem

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

problem

Determine all pairs (a,b)(a, b) of integers with the property that the numbers a2+4ba^{2}+4 b and b2+4ab^{2}+4 a are both perfect squares.
Plain-text mathematical notation (without MathML)
Determine all pairs (a,b) of integers with the property that the numbers a²+4b and b²+4a are both perfect squares.
Original LaTeX notation
Determine all pairs $(a, b)$ of integers with the property that the numbers $a^{2}+4 b$ and $b^{2}+4 a$ are both perfect squares.

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

task_id
4a59f4d9-27e7-5f14-b7b4-a4e7aeeea3c2
task_key
test--4a59f4d9-27e7-5f14-b7b4-a4e7aeeea3c2
task_revision_id
1
config / split
/ test

Official source

initial import