01
The problem
If R(k) is the Ramsey number for K_k, the minimal n such that every 2-colouring of the edges of K_n contains a monochromatic copy of K_k, then \frac{R(k)}{k2^(k/2)}→ ∈fty.
Open since1935source estimate
Last checked2026.07.26Catalog verification
02
Reward offers
Offer 01$100Paul Erdős / Combinatorics Foundation
DocumentedA 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.