Schinzel's hypothesis H

English

Named after Andrzej Schinzel.

Schinzel's hypothesis H

(number theory) A famous open problem in mathematics, the hypothesis stating that, for every finite collection ${\\displaystyle \\{f_{1},f_{2},\\ldots ,f_{k}\\}}$ 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 ${\\displaystyle n}$ such that all of ${\\displaystyle f_{1}(n),f_{2}(n),\\ldots ,f_{k}(n)}$ are simultaneously prime numbers, or (ii) there is an integer ${\\displaystyle m>1}$ (called a fixed divisor) which always divides the product ${\\displaystyle f_{1}(n)f_{2}(n)\\cdots f_{k}(n)}$ .

单词	Schinzel's hypothesis H
释义	Schinzel's hypothesis H English Etymology Named after Andrzej Schinzel. Proper noun Schinzel's hypothesis H (number theory) A famous open problem in mathematics, the hypothesis stating that, for every finite collection ${\\displaystyle \\{f_{1},f_{2},\\ldots ,f_{k}\\}}$ 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 ${\\displaystyle n}$ such that all of ${\\displaystyle f_{1}(n),f_{2}(n),\\ldots ,f_{k}(n)}$ are simultaneously prime numbers, or (ii) there is an integer ${\\displaystyle m>1}$ (called a fixed divisor) which always divides the product ${\\displaystyle f_{1}(n)f_{2}(n)\\cdots f_{k}(n)}$ .
随便看	reisolates reisolating reisolation reisolations reisomerization reisomerizations reisomerize reisomerizes reison reisone reisor Reispauss Reisproduzent reisroman reisromans Reiss reiss reiss ab reissata reisse reisse ab reissen reissen ab reissend reissest