benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / A …f with real coefficients such that if n is a repunit, then so is f(n).

Problem

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

problem

A \emph{repunit} is a positive integer whose digits in base 10 are all ones. Find all polynomials ff with real coefficients such that if nn is a repunit, then so is f(n)f(n).
Plain-text mathematical notation (without MathML)
A \emph{repunit} is a positive integer whose digits in base 10 are all ones. Find all polynomials f with real coefficients such that if n is a repunit, then so is f(n).
Original LaTeX notation
A \emph{repunit} is a positive integer whose digits in base 10 are all ones. Find all polynomials $f$ with real coefficients such that if $n$ is a repunit, then so is $f(n)$.

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
e77027ad-fdd0-573c-a7ac-94ef895c4030
task_key
test--e77027ad-fdd0-573c-a7ac-94ef895c4030
task_revision_id
1
config / split
/ test

Official source

initial import