Friedlander–Iwaniec Theorem

(Theory)

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What is Friedlander–Iwaniec theorem?

In analytic number theory the Friedlander–Iwaniec theorem states 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, … (sequence in the OEIS). The difficulty in this statement lies in the very sparse nature of this sequence: the number of integers of the form less than is roughly of the order .

Technology Types

additive number theorypropositionstatementtheoremtheorems about prime numbertheorems in analytic number theorytheory

Synonyms

Bombieri-Friedlander-Iwaniec theoremFriedlander-Iwaniec theorem

Translations

Friedlander–Iwaniecs sats (sv)Stelling van Friedlander-Iwaniec (nl)Teorema de Friedlander–Iwaniec (pt)Теорема Фридландера — Иванеца (ru)

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