number-theory / Additive Combinatorics

Erdős Problem #866

h₄(n) = 4 for every n ≥ 331,777, with improved global bounds; the broader problem remains open

10Significance / 100
1Frontier events
0Verification tasks
0Recorded attempts

Temporal state

Current frontier

No reconciled state yet.

Append-only history

Frontier timeline

number-theoryJul 8, 2026Significance 10/100Registry: lean verified

Erdős Problem #866

Prior state unknown→proved

h₄(n) = 4 for every n ≥ 331,777, with improved global bounds; the broader problem remains open

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review

Research memory

Claims and attempts

Scoped claims

Source authenticated

h₄(n) = 4 for every n ≥ 331,777, with improved global bounds; the broader problem remains open

h₄(n) = 4 for every n ≥ 331,777, with improved global bounds; the broader problem remains open

Recorded attempts

Evidence graph

Connected research record