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Omni-MATH / Are there integers a and b such that a⁵b+3 and ab⁵+3 are both perfect cubes of integers?

Problem

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problem

Are there integers aa and bb such that a5b+3a^5b+3 and ab5+3ab^5+3 are both perfect cubes of integers?
Plain-text mathematical notation (without MathML)
Are there integers a and b such that a⁵b+3 and ab⁵+3 are both perfect cubes of integers?
Original LaTeX notation
Are there integers $a$ and $b$ such that $a^5b+3$ and $ab^5+3$ are both perfect cubes of integers?

Discussion

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Source and history

task_id
bb72a078-6b9c-5e22-bafd-cd8582034460
task_key
test--bb72a078-6b9c-5e22-bafd-cd8582034460
task_revision_id
1
config / split
/ test

Official source

initial import