Schinzel's hypothesis H
number theory conjecture that, for any finite set of nonconstant irreducible integer polynomials with positive leading coefficients, either they are simultaneously prime infinitely often, or else a fixed divisor always divides at least one of them
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Schinzel's hypothesis H
Summary
Schinzel's hypothesis H is a conjecture[1]. It draws 27 Wikipedia views per month (conjecture category, ranking #31 of 128).[2]
Key Facts
- Schinzel's hypothesis H's instance of is recorded as conjecture[3].
- Andrzej Schinzel is named after Schinzel's hypothesis H[4].
- Schinzel's hypothesis H's Freebase ID is recorded as /m/02vn5j[5].
- Schinzel's hypothesis H's defining formula is recorded as #{n\in\mathbb Z^+\colon{f_1(n),\dotsc,f_k(n)}\subset\mathbb P}=\aleph_0\lor \exists m>1\forall n\in\mathbb Z^+\colon m\mid f_1(n)f_2(n)\dotsm f_k(n)[6].
- Schinzel's hypothesis H's MathWorld ID is recorded as SchinzelsHypothesis[7].
- Schinzel's hypothesis H's maintained by WikiProject is recorded as WikiProject Mathematics[8].
- Schinzel's hypothesis H's Microsoft Academic ID is recorded as 2777640568[9].
Body
Designation and Status
Schinzel's hypothesis H's instance of is recorded as conjecture[3].
History and Context
Andrzej Schinzel is named after Schinzel's hypothesis H[4].
Why It Matters
Schinzel's hypothesis H draws 27 Wikipedia views per month (conjecture category, ranking #31 of 128).[2] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[10]