benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / Find the smallest positive integer n such that the 73 fractions (19)/(n+21),(20)/(n+22),(21)/(n+23),...,(91)/(n+93) are all irreducible.

Problem

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

problem

Find the smallest positive integer nn such that the 7373 fractions 19n+21,20n+22,21n+23,...,91n+93\frac{19}{n+21}, \frac{20}{n+22},\frac{21}{n+23},...,\frac{91}{n+93} are all irreducible.
Plain-text mathematical notation (without MathML)
Find the smallest positive integer n such that the 73 fractions (19)/(n+21),(20)/(n+22),(21)/(n+23),...,(91)/(n+93) are all irreducible.
Original LaTeX notation
Find the smallest positive integer $n$ such that the $73$ fractions $\frac{19}{n+21}, \frac{20}{n+22},\frac{21}{n+23},...,\frac{91}{n+93}$ are all irreducible.

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
2af1d3ec-e282-57b3-bdc0-f614965d2d35
task_key
test--2af1d3ec-e282-57b3-bdc0-f614965d2d35
task_revision_id
1
config / split
/ test

Official source

initial import