Existence of a Quadratic Polynomial, Which Represents Infinitely Many Prime Numbers: Bunyakovsky's Conjecture for Degree Greater than One and the 4th Landau Problem

EasyChair Preprint 8203, version history

VersionDatePagesVersion notes
1
June 7, 2022
5
2
November 15, 2023
5

there exist infinitely many integers n such that n^2+1 is either prime or the product of two primes.

3
November 18, 2023
6

the extended Euclidean algorithm

4
November 20, 2023
6

the Hyperbolic Prime Number Theorem

Keyphrases: Bunyakovsky’s conjecture, Euler’s 6k + 1 theorem, Fermat’s theorem on sums of two squares, Landau’s problems, complete and subcomplete sequences, prime numbers, primes represented by polynomials, sieve theory

BibTeX entry
BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:
@booklet{EasyChair:8203,
  author    = {Valerii Sopin},
  title     = {Existence of a Quadratic Polynomial, Which Represents Infinitely Many Prime Numbers: Bunyakovsky's Conjecture for Degree Greater than One and the 4th Landau Problem},
  howpublished = {EasyChair Preprint 8203},
  year      = {EasyChair, 2023}}