benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / For each positive integer n, let a_(n) be the smallest nonnegative integer such that there is only one positive integer at most n that is relatively prime to all of n,n+1,…,n+a_(n)…

Problem

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

problem

For each positive integer nn, let ana_{n} be the smallest nonnegative integer such that there is only one positive integer at most nn that is relatively prime to all of n,n+1,…,n+ann, n+1, \ldots, n+a_{n}. If n<100n<100, compute the largest possible value of n−ann-a_{n}.
Plain-text mathematical notation (without MathML)
For each positive integer n, let a_(n) be the smallest nonnegative integer such that there is only one positive integer at most n that is relatively prime to all of n,n+1,…,n+a_(n). If n<100, compute the largest possible value of n−a_(n).
Original LaTeX notation
For each positive integer $n$, let $a_{n}$ be the smallest nonnegative integer such that there is only one positive integer at most $n$ that is relatively prime to all of $n, n+1, \ldots, n+a_{n}$. If $n<100$, compute the largest possible value of $n-a_{n}$.

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
2e3e92c6-d2d7-57d3-b435-34bdef93027f
task_key
test--2e3e92c6-d2d7-57d3-b435-34bdef93027f
task_revision_id
1
config / split
/ test

Official source

initial import