Green-Tao theorem
Teorema de Green-Tao: progresiones aritméticas de primos
- Date
- 2004 · confidence high
- Place
- Los Angeles (UCLA) and Cambridge (England)
- Credited to
- Ben Green and Terence Tao
- People
- 👤 Ben Green1977–👤 Terence Tao1975–
- Field
- Knowledge & symbols
What was discovered
The prime numbers contain arbitrarily long arithmetic progressions. The proof combines Szemerédi's theorem with a transference principle to pseudorandom sets.
Tao received the Fields Medal in 2006.
What it led to
- additive combinatorics
- ergodic theory applied to the primes
- the Hardy-Littlewood conjecture (special cases)
Built on
- Szemerédi's theorem1975
- Ramsey theory
- sieve methods