Green and Tao: arbitrarily long arithmetic progressions of primes

What changed

A major additive-combinatorial property of primes became proved.

Scientific scope

Exact two-author Annals article; Szemerédi and Goldston–Yıldırım ingredients, later bounds separate.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is the exact two-author Annals paper. Szemerédi’s theorem, Goldston–Yıldırım estimates, later quantitative improvements and broader linear-equations-in-primes results retain separate attribution.

Contributors

• Ben Green · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.
• Terence Tao · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.

• Annals of Mathematics, The primes contain arbitrarily long arithmetic progressions
• Green and Tao, prime progressions full paper

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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