# 6 · Bern(3458)/28329084584758278770932715893606309

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: | 6 · Bern(3458)/28329084584758278770932715893606309 |
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Verification status (*): | PRP |

Official Comment (*): | Irregular, ECPP |

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

Proof-code(s): (*): | c8 : Broadhurst, Water, Primo |

Decimal Digits: | 7945 (log_{10} is 7944.1559701429) |

Rank (*): | 79725 (digit rank is 1) |

Entrance Rank (*): | 64860 |

Currently on list? (*): | short |

Submitted: | 2/24/2013 16:27:39 CDT |

Last modified: | 2/24/2013 16:47:43 CDT |

Database id: | 111321 |

Status Flags: | Verify |

Score (*): | 31.7265 (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.

- Irregular Primes (archivable *)
- Prime on list:
yes, rank10

Subcategory: "Irregular Primes"

(archival tag id 215095, tag last modified 2021-05-01 12:20:47)- Elliptic Curve Primality Proof (archivable *)
- Prime on list:
no, rank292

Subcategory: "ECPP"

(archival tag id 215096, tag last modified 2021-06-15 13:07:45)

#### 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 111321 person_id 9 machine Ditto P4 P4 what trial_divided notes PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] 1432089442117530....3131297651655891 1/1 mro=0 trial factoring to 2240077 1432089442...7651655891 has no small factor. [Elapsed time: 7.552 seconds] modified 2020-07-07 17:30:22 created 2013-02-24 16:35:07 id 152921

field value prime_id 111321 person_id 9 machine Ditto P4 P4 what prp notes PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 1432089442...7651655891 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N-1 test using base 3 Running N+1 test using discriminant 7, base 1+sqrt(7) Calling N-1 BLS with factored part 0.13% and helper 0.08% (0.48% proof) 1432089442...7651655891 is Fermat and Lucas PRP! (36.1434s+0.0059s) [Elapsed time: 36.00 seconds] modified 2020-07-07 17:30:22 created 2013-02-24 16:38:08 id 152924

Query times: 0.0004 seconds to select prime, 0.0008 seconds to seek comments.

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