# 45211 · 2^{165011} - 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: | 45211 · 2^{165011} - 1 |
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Verification status (*): | Proven |

Official Comment (*): | [none] |

Proof-code(s): (*): | g282 : DavisK, Proth.exe |

Decimal Digits: | 49678 (log_{10} is 49677.915858622) |

Rank (*): | 56877 (digit rank is 1) |

Entrance Rank (*): | 956 |

Currently on list? (*): | no |

Submitted: | 10/2002 |

Last modified: | 10/2002 |

Removed (*): | 6/12/2004 09:24:38 CDT |

Database id: | 1022 |

Status Flags: | none |

Score (*): | 37.3971 (normalized score 0.0008) |

#### 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 1022 person_id 9 machine Windows XP P4 1.8GHz what prime notes Primality testing 45211*2^165011-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 45211*2^165011-1 is prime! (850.623000 seconds) PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N+1 test using discriminant 3, base 1+sqrt(3) modified 2003-03-25 11:24:28 created 2002-12-22 13:05:43 id 46917

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.

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