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# 89 · 2^{369628} - 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: | 89 · 2^{369628} - 1 |
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Verification status (*): | Proven |

Official Comment (*): | [none] |

Proof-code(s): (*): | L56 : Minovic, Ksieve, NewPGen, LLR |

Decimal Digits: | 111272 (log_{10} is 111271.064627293) |

Rank (*): | 40148 (digit rank is 1) |

Entrance Rank (*): | 524 |

Currently on list? (*): | no |

Submitted: | 1/31/2005 19:57:49 CDT |

Last modified: | 1/31/2005 19:57:49 CDT |

Removed (*): | 3/16/2009 16:21:12 CDT |

Database id: | 73330 |

Status Flags: | none |

Score (*): | 39.8832 (normalized score 0.0129) |

#### 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 73330 person_id 9 machine WinXP P4 1.8GHz what prime notes Command: pfgw.exe -n -f -tp -q"89*2^369628-1" 2>&1 PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] trial factoring to 38206587 Running N+1 test using discriminant 3, base 1+sqrt(3) N+1: 89*2^Primality testing 89*2^369628-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 89*2^369628-1 is prime! (5548.9612s+0.0014s) 369628-1 modified 2020-07-07 17:30:44 created 2005-01-31 20:34:03 id 78342

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.

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