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Analytic number theory conjecture
The Bunyakovsky conjecture (or Bouniakowsky conjecture) gives a criterion for a polynomial f ( x ) {\displaystyle f(x)} in one variable with integer coefficients
Bunyakovsky_conjecture
Russian mathematician
of Sciences. Bunyakovsky was a mathematician, noted for his work in theoretical mechanics and number theory (see: Bunyakovsky conjecture), and is credited
Viktor_Bunyakovsky
Conjecture about prime numbers
any natural number) that each satisfy all three conditions in the Bunyakovsky conjecture, and for any prime p {\displaystyle p} there is an integer x {\displaystyle
Dickson's_conjecture
from 2 2 {\displaystyle 2^{2}} and 3 2 {\displaystyle 3^{2}} . Bunyakovsky conjecture: if an integer-coefficient polynomial f {\displaystyle f} has a
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Four basic unsolved problems about prime numbers
consequence of other number-theoretic conjectures such as the Bunyakovsky conjecture and Bateman–Horn conjecture. One example of near-square primes are
Landau's_problems
Visualization of the prime numbers
values 0, 1, 2, ... This statement is a special case of an earlier conjecture of Bunyakovsky and remains open. Hardy and Littlewood further assert that, asymptotically
Ulam_spiral
Aharoni-Korman conjecture also known as the fishbone conjecture Atiyah conjecture (not a conjecture to start with) Borsuk's conjecture Bunkbed conjecture Chinese
List_of_conjectures
Polynomial with integer value for integer input
Bateman–Horn conjecture, it is a matter of basic importance to understand the case when P has no fixed prime divisor (this has been called Bunyakovsky's property[citation
Integer-valued_polynomial
List of terms created from a person's name
Bunsen, German inventor – Bunsen burner Viktor Bunyakovsky, Russian mathematician – Bunyakovsky conjecture Johan Burgers Dutch businessman — Royal Burgers'
List_of_eponyms_(A–K)
Irreducible polynomial whose roots are nth roots of unity
that Φ n ( b ) {\displaystyle \Phi _{n}(b)} is prime. In fact, Bunyakovsky conjecture implies that, for every n, there are infinitely many b > 1 such
Cyclotomic_polynomial
Number theory conjecture
builds on the earlier Bunyakovsky conjecture, for a single polynomial, and on the Hardy–Littlewood conjectures and Dickson's conjecture for multiple linear
Schinzel's_hypothesis_H
Conjecture in number theory
simultaneously generate prime values infinitely often is that they satisfy Bunyakovsky's property; namely, that there does not exist a prime number p {\displaystyle
Bateman–Horn_conjecture
Sufficient condition for a polynomial to be unfactorable
the representation of a prime number in that base. This is the Bunyakovsky conjecture and its truth or falsity remains an open question. Eisenstein's
Cohn's irreducibility criterion
Cohn's_irreducibility_criterion
Theorem on the number of primes in arithmetic sequences
infinitely many primes of the form 4n + 3 (Silverman 2013). The Bunyakovsky conjecture generalizes Dirichlet's theorem to higher-degree polynomials. Whether
Dirichlet's theorem on arithmetic progressions
Dirichlet's_theorem_on_arithmetic_progressions
Polish mathematician (1937–2021)
polynomials. His 1958 conjecture on the prime values of polynomials, known as Schinzel's hypothesis H, both extends the Bunyakovsky conjecture and broadly generalizes
Andrzej_Schinzel
Number divisible only by 1 and itself
values more often than others. Russian mathematician Viktor Bunyakovsky in 1857 conjectured that any one-variable polynomial f ( x ) {\displaystyle f(x)}
Prime_number
Formula whose values are the prime numbers
that assumes an infinite number of values that are prime; see Bunyakovsky conjecture. Another prime generator is defined by the recurrence relation a
Formula_for_primes
Integer of the form 3 × 2^n – 1 for non-negative n
corresponding polynomial to b is an irreducible polynomial, so if Bunyakovsky conjecture is true, then there are infinitely many bases b such that the corresponding
Thabit_number
Class of series of figurate numbers, each having a central dot
infinitely many centered k-gonal numbers which are primes (assuming the Bunyakovsky conjecture). Since all centered octagonal numbers are also square numbers,
Centered_polygonal_number
quantum mechanics Vladimir Berkovich, developed Berkovich spaces Viktor Bunyakovsky, noted for his work in theoretical mechanics and number theory, and is
List of Russian mathematicians
List_of_Russian_mathematicians
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