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 no. 8203, version history

VersionDatePagesVersion notes
1June 7, 20225
2November 15, 20235

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

3November 18, 20236

the extended Euclidean algorithm

4November 20, 20236

the Hyperbolic Prime Number Theorem

Keyphrases: Bunyakovsky’s conjecture, complete and subcomplete sequences, Euler’s 6k + 1 theorem, Fermat’s theorem on sums of two squares, Landau’s problems, 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 no. 8203},

  year = {EasyChair, 2023}}