A Prime-Representing Constant

We present a constant and a recursive relation to define a sequence fn such that the floor of fn is the nth prime. Therefore, this constant generates the complete sequence of primes. We also show this constant is irrational and consider other sequences that can be generated using the same method. ©...

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Detalles Bibliográficos
Publicado: 2019
Materias:
11A67
MSC: Primary 00A08
Secondary 11A41
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029890_v126_n1_p70_Fridman
http://hdl.handle.net/20.500.12110/paper_00029890_v126_n1_p70_Fridman
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00029890_v126_n1_p70_Fridman
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spelling paper:paper_00029890_v126_n1_p70_Fridman2025-07-30T17:07:26Z A Prime-Representing Constant 11A67 MSC: Primary 00A08 Secondary 11A41 We present a constant and a recursive relation to define a sequence fn such that the floor of fn is the nth prime. Therefore, this constant generates the complete sequence of primes. We also show this constant is irrational and consider other sequences that can be generated using the same method. © 2018, © THE MATHEMATICAL ASSOCIATION OF AMERICA. 2019 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029890_v126_n1_p70_Fridman http://hdl.handle.net/20.500.12110/paper_00029890_v126_n1_p70_Fridman
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic 11A67
MSC: Primary 00A08
Secondary 11A41
spellingShingle 11A67
MSC: Primary 00A08
Secondary 11A41
A Prime-Representing Constant
topic_facet 11A67
MSC: Primary 00A08
Secondary 11A41
description We present a constant and a recursive relation to define a sequence fn such that the floor of fn is the nth prime. Therefore, this constant generates the complete sequence of primes. We also show this constant is irrational and consider other sequences that can be generated using the same method. © 2018, © THE MATHEMATICAL ASSOCIATION OF AMERICA.
title A Prime-Representing Constant
title_short A Prime-Representing Constant
title_full A Prime-Representing Constant
title_fullStr A Prime-Representing Constant
title_full_unstemmed A Prime-Representing Constant
title_sort prime-representing constant
publishDate 2019
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029890_v126_n1_p70_Fridman
http://hdl.handle.net/20.500.12110/paper_00029890_v126_n1_p70_Fridman
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