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Omni-MATH / (a) Do there exist 14 consecutive positive integers each of which is divisible by one or more primes p from the interval 2≤p≤11 ? (b) Do there exist 21 consecutive positive integer…

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problem

(a)(\text{a}) Do there exist 14 consecutive positive integers each of which is divisible by one or more primes pp from the interval 2≤p≤112\le p \le 11 ? (b)(\text{b}) Do there exist 21 consecutive positive integers each of which is divisible by one or more primes pp from the interval 2≤p≤132\le p \le 13 ?
Plain-text mathematical notation (without MathML)
(a) Do there exist 14 consecutive positive integers each of which is divisible by one or more primes p from the interval 2≤p≤11 ?
(b) Do there exist 21 consecutive positive integers each of which is divisible by one or more primes p from the interval 2≤p≤13 ?
Original LaTeX notation
$(\text{a})$ Do there exist 14 consecutive positive integers each of which is divisible by one or more primes $p$ from the interval $2\le p \le 11$ ?
$(\text{b})$ Do there exist 21 consecutive positive integers each of which is divisible by one or more primes $p$ from the interval $2\le p \le 13$ ?

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Source and history

task_id
b4af04c1-202b-5672-8408-e60ede2324ac
task_key
test--b4af04c1-202b-5672-8408-e60ede2324ac
task_revision_id
1
config / split
/ test

Official source

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