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| | Existence of a Quadratic Polynomial, Which Represents Infinitely Many Prime Numbers: Bunyakovsky's Conjecture for Degree Greater than One and the 4th Landau ProblemEasyChair Preprint 8203, version history| Version | Date | Pages | Version notes | 
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 | 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 | 
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