✦ 5 frontiers

read-only vieweressays

erdős #841

← #840 · #842 → (packet.json; erdosproblems.com)

Let $t_{n}$ be minimal such that ${n + 1, \dots, n + t_{n}}$ contains a subset whose product with $n$ is a square number (and let $t_{n} = 0$ if $n$ is itself square). Estimate $t_{n}$ .

Worked, still open.

number theory · solved · 0 attempts

use this record

vela registry pull vfr_37aec80d874a0239

vela reproduce examples/erdos-problems

oeis

A092487 — a(n) = least k such that {n+1, n+2, n+3, ... n+k} has a subset the product of whose members with n is a square.0,4,5,0,5,6,7,7,0,8,11,8,13,7,9,0,17,9,19,10,7,11,23,8,0,13,8,12,29,12,31,13,11,17,13,0,37,19,13,10,41,14,43,11,15,23,47

links

Create a formalisation here · link

status

solved

finding.noted · reviewer:will-blair · 1 day

renders the record as of vev_d199cb2e · 1,338 events · hub