Counting Frobenius Pseudoprimes
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909547549949952 |
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| author | Fiori, Andrew Gheisari, Hiva |
| author_facet | Fiori, Andrew Gheisari, Hiva |
| contents | We generalize the work of Erdos-Pomerance and Fiori-Shallue on counting Frobenius pseudoprimes from the cases of degree one and two respectively to arbitrary degree. More specifically we provide formulas for counting the number of false witnesses for a number $n$ with respect to Grantham's Frobenius primality test. We also provide conditional assymptotic lower bounds on the average number of Frobenius pseudoprimes and assymptotic upper bounds on the same. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_17330 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Counting Frobenius Pseudoprimes Fiori, Andrew Gheisari, Hiva Number Theory 11Y11, 11A51 We generalize the work of Erdos-Pomerance and Fiori-Shallue on counting Frobenius pseudoprimes from the cases of degree one and two respectively to arbitrary degree. More specifically we provide formulas for counting the number of false witnesses for a number $n$ with respect to Grantham's Frobenius primality test. We also provide conditional assymptotic lower bounds on the average number of Frobenius pseudoprimes and assymptotic upper bounds on the same. |
| title | Counting Frobenius Pseudoprimes |
| topic | Number Theory 11Y11, 11A51 |
| url | https://arxiv.org/abs/2503.17330 |