# - E(886)/68689

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: | - E(886)/68689 |
---|---|

Verification status (*): | PRP |

Official Comment (*): | Euler irregular, ECPP |

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

Proof-code(s): (*): | c4 : Broadhurst, Primo |

Decimal Digits: | 2051 (log_{10} is 2050.02002614475) |

Rank (*): | 99531 (digit rank is 13) |

Entrance Rank (*): | 32675 |

Currently on list? (*): | short |

Submitted: | 1/26/2002 19:22:04 CDT |

Last modified: | 1/26/2002 19:22:04 CDT |

Database id: | 35158 |

Status Flags: | Verify |

Score (*): | 27.5142 (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.

- Elliptic Curve Primality Proof (archivable *)
- Prime on list:
no, rank766

Subcategory: "ECPP"

(archival tag id 176125, tag last modified 2021-02-24 00:50:27)- Euler Irregular primes (archivable *)
- Prime on list:
yes, rank20

Subcategory: "Euler Irregular primes"

(archival tag id 176124, tag last modified 2020-12-26 21:50:12)

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

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#### 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 35158 person_id 9 machine Linux PII 200 what prp notes PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Reading factors from helper file helper Error opening file helper Running N-1 test using base 2 Primality testing -E(886)/68689 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 0.23% -E(886)/68689 is PRP! (9.720000 seconds) modified 2003-03-25 11:22:47 created 2003-01-07 00:00:29 id 63962

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

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