Paper Info

Title | ||
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New Fibonacci and Lucas primes |

Abstract | ||
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Extending previous searches for prime Fibonacci and Lucas num- bers, all probable prime Fibonacci numbers Fn have been determined for 6000 <n 50000 and all probable prime Lucas numbers Ln have been deter- mined for 1000 <n 50000. A rigorous proof of primality is given for F9311 and for numbers Ln with n = 1097, 1361, 4787, 4793, 5851, 7741, 10691, 14449, the prime L14449 having 3020 digits. Primitive parts F n and L n of composite numbers Fn and Ln have also been tested for probable primality. Actual primality has been established for many of them, including 22 with more than 1000 digits. In a Supplement to the paper, factorizations of num- bers Fn and Ln are given for n> 1000 as far as they have been completed, adding information to existing factor tables covering n 1000. |

Year | DOI | Venue |
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1999 | 10.1090/S0025-5718-99-00981-3 | Math. Comput. |

Keywords | Field | DocType |

large primes,prime primitive parts,lucas numbers,primality testing,factor tables.,new fibonacci,lucas prime,. fibonacci numbers,fibonacci number,lucas number,fibonacci numbers | Fibonacci prime,Fibonacci word,Combinatorics,Lucas sequence,Algebra,Mathematical analysis,Lucas number,Pisano period,Reciprocal Fibonacci constant,Mathematics,Fibonacci polynomials,Fibonacci number | Journal |

Volume | Issue | ISSN |

68 | 225 | 0025-5718 |

Citations | PageRank | References |

0 | 0.34 | 0 |

Authors | ||

2 |

Authors (2 rows)

Cited by (0 rows)

References (0 rows)

Name | Order | Citations | PageRank |
---|---|---|---|

Harvey Dubner | 1 | 41 | 28.18 |

Wilfrid Keller | 2 | 2 | 0.84 |