THE PRIME-REPRESENTING FUNCTIONS

In this paper, we prove that there is a fixed number D such that the values ⌈Ddn ⌉ are primes for all positive integers n and real numbers d > 8/3. We also prove that there exists a value e such that the values ⌈Ben ⌉ are primes for all positive integers n and a given any real number B > 1, where ⌈.⌉ is the ceiling function.

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Publication Details

Journal
Mathematical Reports
Published
2024-11-20
DOI
https://doi.org/10.59277/mrar.2024.26.76.3.4.251
Primary Topic
History and Theory of Mathematics
Type
article
Field-Weighted Citation Impact
0.00
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THE PRIME-REPRESENTING FUNCTIONS

DUC-SON TRAN
Mathematical Reports
History and Theory of Mathematics
article

THE PRIME-REPRESENTING FUNCTIONS

DUC-SON TRAN
article en

Abstract

In this paper, we prove that there is a fixed number D such that the values ⌈Ddn ⌉ are primes for all positive integers n and real numbers d > 8/3. We also prove that there exists a value e such that the values ⌈Ben ⌉ are primes for all positive integers n and a given any real number B > 1, where ⌈.⌉ is the ceiling function.

Mathematical ReportsVol. 26(76)(3-4)
Cat Tien National Park (VN)
Openalex Percentile: Top 73%
History and Theory of Mathematics
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THE PRIME-REPRESENTING FUNCTIONS — DUC-SON TRAN · Mathematical Reports (2024) | TGRS Research Map | TGRS