Bombieri–Friedlander–Iwaniec theorem
- Bombieri–Friedlander–Iwaniec theorem
In analytic number theory, an advanced branch of mathematics, the Bombieri–Friedlander–Iwaniec theorem[G. van Golstein Brouwers, D. Bamberg, J. Cairns, " [http://www.austms.org.au/Publ/Gazette/2004/Sep04/Sep04.pdf Totally Goldbach numbers and related conjectures] ". Australian Mathematical Society Gazette. Vol 31(4) (2004), p. 254.] asserts that there are infinitely many prime numbers of the form . The first few such primes are]:2, 5, 17, 37, 41, 97, 101, 137, 181, 197, 241, 257, 277, 281, 337, 401, 457, 577, 617, 641, 661, 677, 757, 769, 821, 857, 881, 977, … OEIS|id=A028916.
The theorem was proved in 1997 by John Friedlander and Henryk Iwaniec, using sieve techniques first developed by Enrico Bombieri.
Iwaniec was awarded the 2001 Ostrowski Prize in part for his contributions to this work.[ [http://www.ams.org/notices/200207/comm-ostrowski.pdf "Iwaniec, Sarnak, and Taylor Receive Ostrowski Prize"] ] ] References
External links
* [http://www.pnas.org/content/vol94/issue4/ Iwaniec and Friedlander's paper about the parity-sensitive asymptotic sieve]
* [http://www.sciencemag.org/cgi/content/full/279/5347/31 "Sieving Prime Numbers From Thin Ore"] . Barry Cipra, "Science" magazine. Vol. 279. no. 5347, p. 31.
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