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OlympiadBench / 2022 / Find all positive integers n>2 such that

Problem

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

answer type

Numerical

is multiple answer

false

language

English

question

Find all positive integers

n>2

such that

$$
n ! \mid \prod_{\substack{p<q \leqslant n \\ p, q \text { primes }}}(p+q)
$$

Plain-text mathematical notation (without MathML)

Find all positive integers n>2 such that

$$
n ! \mid \prod_{\substack{p<q \leqslant n \\ p, q \text { primes }}}(p+q)
$$

Original LaTeX notation

Find all positive integers $n>2$ such that

$$
n ! \mid \prod_{\substack{p<q \leqslant n \\ p, q \text { primes }}}(p+q)
$$

question type

Open-ended

subject

Math

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Source and history

upstream_id / Original problem ID: 2022
task_id: 41f5987e-59da-501c-b869-81965a744e6a
task_key: OE~5fTO~5fmaths~5fen~5fCOMP--train--2022
task_revision_id: 1
config / split: OE_TO_maths_en_COMP / train

Official source

initial import