Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematical conjecture
|
| gptkbp:alsoKnownAs |
gptkb:Schinzel's_hypothesis_H
|
| gptkbp:category |
Unsolved problems in mathematics
|
| gptkbp:concerns |
Polynomials
Prime numbers |
| gptkbp:field |
gptkb:Number_theory
|
| gptkbp:formedBy |
gptkb:Wacław_Sierpiński
gptkb:Andrzej_Schinzel 1958 |
| gptkbp:generalizes |
gptkb:Dickson's_conjecture
gptkb:Bunyakovsky_conjecture |
| https://www.w3.org/2000/01/rdf-schema#label |
Schinzel's hypothesis
|
| gptkbp:implies |
Infinitude of twin primes (for certain polynomials)
Infinitude of Sophie Germain primes (for certain polynomials) |
| gptkbp:influenced |
Research in prime-producing polynomials
|
| gptkbp:publishedIn |
gptkb:Acta_Arithmetica
|
| gptkbp:state |
If a finite set of irreducible polynomials with integer coefficients satisfies certain necessary conditions, then there are infinitely many integers such that all polynomials take prime values simultaneously.
|
| gptkbp:status |
Unproven
|
| gptkbp:bfsParent |
gptkb:Andrzej_Schinzel
|
| gptkbp:bfsLayer |
7
|