On the prime numbers of certain arithmetic series. (Q1840202)
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scientific article; zbMATH DE number 3015572
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the prime numbers of certain arithmetic series. |
scientific article; zbMATH DE number 3015572 |
Statements
On the prime numbers of certain arithmetic series. (English)
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1935
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Der Verf. beweist die Existenz unendlich vieler Primzahlen in einer arithmetischen (teilerfremden) Progression mod \(m\), wenn \(m\) die Ungleichung \(\sum_{{p\times m},{p<m}} {1\over p} < 1\) erfüllt. Auch das Bertrandsche Postulat wird entsprechend verallgemeinert. Der Beweis stellt die natürliche Verallgemeinerung der im Falle \(m = 1\) benutzten elementaren Methoden dar.
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number theory
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