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# V(10, 8, 88321) - 2^{264963} - 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important PrimePages database: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

Description: | V(10, 8, 88321) - 2^{264963} - 1 |
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Verification status (*): | PRP |

Official Comment (*): | [none] |

Unofficial Comments: | This prime has 1 user comment below. |

Proof-code(s): (*): | p83 : Oakes, Steward, Broadhurst, OpenPFGW |

Decimal Digits: | 84801 (log_{10} is 84800.7636781565) |

Rank (*): | 46644 (digit rank is 1) |

Entrance Rank (*): | 210 |

Currently on list? (*): | no |

Submitted: | 6/12/2002 19:36:27 CDT |

Last modified: | 6/12/2002 19:36:27 CDT |

Removed (*): | 4/3/2007 13:16:27 CDT |

Database id: | 250 |

Status Flags: | Verify |

Score (*): | 39.0462 (normalized score 0.0058) |

#### User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

#### Verification data:

The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions. We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.

field value prime_id 250 person_id 9 machine Athlon 1.3GHz what prp notes Primality testing lucasV(10,8,88321)-2^264963-1 [N+1, Brillhart-Lehmer-Selfridge] PFGW Version 20030108.Win_Dev (Alpha 'caveat utilitor') [FFT v22.12 w/P4] Running N+1 test using discriminant 3, base 1+sqrt(3) N+1: lucasV(10Calling Brillhart-Lehmer-Selfridge with factored part 31.35% lucasV(10,8,88321)-2^264963-1 is Lucas PRP! (16409.663000 seconds) ,8,88321)-2^264963-1 modified 2003-03-25 11:21:43 created 2003-02-01 18:50:04 id 68085

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.

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