Speakur

Word Pronunciation & Dictionary

schinzel's hypothesis h

Word Rarity Very rare

Frequency: Zipf frequency 0.00 in modern English

Syllables
schinzel's hy-poth-e-sis h
IPA
48
Scrabble Score
20
Letters
4
Syllables
12
Unique Chars

Meaning

name

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).

Etymology

Named after Andrzej Schinzel.

Questions

What does schinzel's hypothesis h mean?
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).
Where does schinzel's hypothesis h come from?
Named after Andrzej Schinzel.

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