benchmarks.wiki / Public workspace

MATH / Suppose that a 30-digit integer N is composed of thirteen 7s and seventeen 3s. What is the remainder when N is divided by 36?

Problem

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

problem

Suppose that a 3030-digit integer NN is composed of thirteen 77s and seventeen 33s. What is the remainder when NN is divided by 3636?
Plain-text mathematical notation (without MathML)
Suppose that a 30-digit integer N is composed of thirteen 7s and seventeen 3s. What is the remainder when N is divided by 36?
Original LaTeX notation
Suppose that a $30$-digit integer $N$ is composed of thirteen $7$s and seventeen $3$s. What is the remainder when $N$ is divided by $36$?

level

Level 5

type

Number Theory

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