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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00029890_v126_n1_p70_Fridman |
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todo:paper_00029890_v126_n1_p70_Fridman2023-10-03T13:55:03Z A Prime-Representing Constant Fridman, D. Garbulsky, J. Glecer, B. Grime, J. Florentin, M.T. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Fridman, D. Garbulsky, J. Glecer, B. Grime, J. Florentin, M.T. 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. |
| format |
JOUR |
| author |
Fridman, D. Garbulsky, J. Glecer, B. Grime, J. Florentin, M.T. |
| author_facet |
Fridman, D. Garbulsky, J. Glecer, B. Grime, J. Florentin, M.T. |
| author_sort |
Fridman, D. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_00029890_v126_n1_p70_Fridman |
| work_keys_str_mv |
AT fridmand aprimerepresentingconstant AT garbulskyj aprimerepresentingconstant AT glecerb aprimerepresentingconstant AT grimej aprimerepresentingconstant AT florentinmt aprimerepresentingconstant AT fridmand primerepresentingconstant AT garbulskyj primerepresentingconstant AT glecerb primerepresentingconstant AT grimej primerepresentingconstant AT florentinmt primerepresentingconstant |
| _version_ |
1807322385241604096 |