benchmarks.wiki / Public workspace

MATH / Suppose the roots of the polynomial x²−mx+n are positive prime integers (not necessarily distinct). Given that m<20, how many possible values of n are there?

Problem

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

problem

Suppose the roots of the polynomial x2mx+nx^2 - mx + n are positive prime integers (not necessarily distinct). Given that m<20,m < 20, how many possible values of nn are there?
Plain-text mathematical notation (without MathML)
Suppose the roots of the polynomial x²−mx+n are positive prime integers (not necessarily distinct). Given that m<20, how many possible values of n are there?
Original LaTeX notation
Suppose the roots of the polynomial $x^2 - mx + n$ are positive prime integers (not necessarily distinct). Given that $m < 20,$ how many possible values of $n$ are there?

level

Level 5

type

Algebra

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

Official source

initial import