Piatetski-Shapiro primes from almost primes

Piatetski-Shapiro primes from almost primes

Let · be the floor function. In this paper, we show that for any fixed c ∈ 1 , 77 76 there are infinitely many primes of the form p = n c , where n is a natural number with at most eight prime factors (counted with multiplicity).

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Veröffentlicht in:Monatshefte für Mathematik 2014-07, Vol.174 (3), p.357-370
Hauptverfasser: Baker, Roger C., Banks, William D., Guo, Zhenyu V., Yeager, Aaron M.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:Let · be the floor function. In this paper, we show that for any fixed c ∈ 1 , 77 76 there are infinitely many primes of the form p = n c , where n is a natural number with at most eight prime factors (counted with multiplicity).
ISSN:0026-9255
1436-5081
DOI:10.1007/s00605-013-0552-8