On functions that generate prime numbers
This thesis is an exposition of the article Are There Functions That Generate Prime Numbers? by Paulo Ribenboim which was published in the The College Mathematics Journal last November 1997. Its features consist of the statement of important theorems about these functions and their proofs provided i...
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| Main Authors: | , |
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| Format: | text |
| Language: | English |
| Published: |
Animo Repository
2000
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| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/17001 |
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| Institution: | De La Salle University |
| Language: | English |
| Summary: | This thesis is an exposition of the article Are There Functions That Generate Prime Numbers? by Paulo Ribenboim which was published in the The College Mathematics Journal last November 1997. Its features consist of the statement of important theorems about these functions and their proofs provided in details. This thesis shows functions that will generate prime numbers under three conditions. The first condition requires that the function should generate all primes in correct ascending order. The second condition requires that the function should generate infinitely many prime numbers not necessarily in correct order. And the last condition states that the set of prime numbers should be described by means of polynomials. |
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