# 45 · 2^{125132} - 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.

#### This prime's information:

Description: | 45 · 2^{125132} - 1 |
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Verification status (*): | Proven |

Official Comment (*): | [none] |

Proof-code(s): (*): | g292 : Sun, Proth.exe |

Decimal Digits: | 37671 (log_{10} is 37670.138629939) |

Rank (*): | 63455 (digit rank is 1) |

Entrance Rank (*): | 2863 |

Currently on list? (*): | no |

Submitted: | 12/16/2002 00:34:58 UTC |

Last modified: | 3/11/2023 15:54:10 UTC |

Removed (*): | 10/8/2003 20:14:55 UTC |

Database id: | 62744 |

Status Flags: | none |

Score (*): | 36.543 (normalized score 0.0002) |

#### 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 62744 person_id 9 machine Windows XP P4 1.8GHz what prime notes Primality testing 45*2^125132-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 45*2^125132-1 is prime! (452.584000 seconds) PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N+1 test using discriminant 7, base 1+sqrt(7) modified 2003-03-25 17:23:54 created 2002-12-27 04:15:50 id 52606

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

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