PPL 081 / 177 permanent IDsPrize Problem Ledger · PPLChecked 2026.07.26
Prize Problem LedgerErdősPPL 081Erdős Problem #78

Permanent problem IDPPL 081

Verified openErdősconjecture

Graph theory

Erdős Problem #78

Give a constructive proof that R(k)>C^k for some constant C>1.

graph theoryramsey theory
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The problem

Give a constructive proof that R(k)>C^k for some constant C>1.

Open since1969source estimate
Last checked2026.07.26Catalog verification
02

Reward offers

Offer 01$100Paul Erdős / Combinatorics Foundation
Documented

A solution must appear in a reputable journal, with documentation that Erdős offered the displayed amount. Claims are administered by the Combinatorics Foundation; erdosproblems.com does not pay awards.

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Sources & reading