Word.ws English Dictionary

Schinzel's hypothesis H

Schinzel's hypothesis H proper noun: a famous open problem in mathematics, the hypothesis stating that, for every finite collection f_1,f_2,…,f_k of non-constant irreducible polynomials over the integers with positive leading coefficients, one of the following conditions holds: (i) there are infinitely many positive integers n such that all of f_1(n),f_2(n),…,f_k(n) are simultaneously prime numbers, or (ii) there is an integer m>1 (called a fixed divisor) which always divides the product f_1(n)f_2(n)⋯f_k(n).

Proper noun

Schinzel's hypothesis H

  1. A famous open problem in mathematics, the hypothesis stating that, for every finite collection f_1,f_2,…,f_k of non-constant irreducible polynomials over the integers with positive leading coefficients, one of the following conditions holds: (i) there are infinitely many positive integers n such that all of f_1(n),f_2(n),…,f_k(n) are simultaneously prime numbers, or (ii) there is an integer m>1 (called a fixed divisor) which always divides the product f_1(n)f_2(n)⋯f_k(n).

Origin of Schinzel's hypothesis H

Named after Andrzej Schinzel.

Questions about Schinzel's hypothesis H

What does Schinzel's hypothesis H mean?
Schinzel's hypothesis H means a famous open problem in mathematics, the hypothesis stating that, for every finite collection f_1,f_2,…,f_k of non-constant irreducible polynomials over the integers with positive leading coefficients, one of the following conditions holds: (i) there are infinitely many positive integers n such that all of f_1(n),f_2(n),…,f_k(n) are simultaneously prime numbers, or (ii) there is an integer m>1 (called a fixed divisor) which always divides the product f_1(n)f_2(n)⋯f_k(n).
What part of speech is Schinzel's hypothesis H?
Schinzel's hypothesis H is a proper noun.

Words near Schinzel's hypothesis H in the dictionary

  1. schindleriids
  2. Schindlers
  3. schindyleses
  4. schindylesis
  5. schindyletic
  6. Schinzel's hypothesis H
  7. Schinzel-Giedion syndrome
  8. Schio
  9. schiozogony
  10. SCHIP
  11. Schiphol

Source and license

Adapted from Wiktionary: Schinzel's hypothesis H (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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