# 3507! - 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: | 3507! - 1 |
---|---|

Verification status (*): | Proven |

Official Comment (*): | Factorial |

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

Proof-code(s): (*): | C : Caldwell, Cruncher |

Decimal Digits: | 10912 (log_{10} is 10911.190551049) |

Rank (*): | 77071 (digit rank is 2) |

Entrance Rank (*): | 28 |

Currently on list? (*): | short |

Submitted: | 10/1992 |

Last modified: | 10/1992 |

Database id: | 16968 |

Status Flags: | none |

Score (*): | 32.7103 (normalized score 0) |

#### Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper. Such primes are tracked with archival tags.

- Factorial primes (archivable *)
- Prime on list:
yes, rank13

Subcategory: "Factorial"

(archival tag id 194146, tag last modified 2016-07-27 01:20:35)

#### 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 16968 person_id 9 machine Windows XP P4 1.8GHz what prime notes Primality testing 3507!-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.70% 3507!-1 is prime! (177.857000 seconds) PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N+1 test using discriminant 3511, base 1+sqrt(3511) modified 2003-03-25 11:23:45 created 2002-12-27 16:13:25 id 54242

Query times: 0.0003 seconds to select prime, 0.0005 seconds to seek comments.

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