PPL 048 / 177 permanent IDsPrize Problem Ledger · PPLChecked 2026.07.26
Prize Problem LedgerErdősPPL 048Erdős Problem #183

Permanent problem IDPPL 048

Verified openErdősconjecture

Graph theory

Erdős Problem #183

Let R(3;k) be the minimal n such that if the edges of K_n are coloured with k colours then there must exist a monochromatic triangle. Determine \lim_(k→ ∈fty)R(3;k)^(1/k).

graph theoryramsey theory
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The problem

Let R(3;k) be the minimal n such that if the edges of K_n are coloured with k colours then there must exist a monochromatic triangle. Determine \lim_(k→ ∈fty)R(3;k)^(1/k).

Open since1994source estimate
Last checked2026.07.26Catalog verification
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Reward offers

Offer 01$250Paul Erdős / Combinatorics Foundation
Documented

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Sources & reading