Primes of the form \([c^ p]\) (Q1910183)
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scientific article; zbMATH DE number 861935
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Primes of the form \([c^ p]\) |
scientific article; zbMATH DE number 861935 |
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Primes of the form \([c^ p]\) (English)
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16 July 1996
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We combine techniques from multiplicative number theory and metrical number theory to prove that for almost all \(c>1\) the sequence \([c^p ]\), where \(p\) denotes a prime and \([\;]\) indicates integer part, contains infinitely many primes. We also show that the set of \(c>1\) for which \([c^n ]\) is never prime is uncountable.
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distribution of primes in integer part sequences
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prime powers of integers
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