# primU(55297)

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: | primU(55297) |
---|---|

Verification status (*): | PRP |

Official Comment (*): | Fibonacci primitive part, ECPP |

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

Decimal Digits: | 10483 (log_{10} is 10482.820045905) |

Rank (*): | 77245 (digit rank is 1) |

Entrance Rank (*): | 67434 |

Currently on list? (*): | short |

Submitted: | 9/29/2014 19:26:25 CDT |

Last modified: | 9/29/2014 19:50:12 CDT |

Database id: | 118569 |

Status Flags: | Verify, TrialDiv |

Score (*): | 32.5862 (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, rank195

Subcategory: "ECPP"

(archival tag id 217834, tag last modified 2021-09-18 09:37:41)- Fibonacci Primitive Part (archivable *)
- Prime on list:
yes, rank10

Subcategory: "Fibonacci Primitive Part"

(archival tag id 217835, tag last modified 2019-03-30 15:20:27)

#### 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 118569 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prp notes PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 6607632871...8136260801 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 13 Running N-1 test using base 19 Running N+1 test using discriminant 47, base 3+sqrt(47) Calling N-1 BLS with factored part 1.27% and helper 0.01% (3.83% proof) 6607632871...8136260801 is Fermat and Lucas PRP! (10.2012s+0.0031s) [Elapsed time: 11.00 seconds] modified 2020-07-07 17:30:17 created 2014-09-29 19:31:01 id 164150

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.

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