# 163252711105 · 3371#/2 + 4

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: | 163252711105 · 3371#/2 + 4 |
---|---|

Verification status (*): | PRP |

Official Comment (*): | Quintuplet (5) |

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

Proof-code(s): (*): | c67 : Batalov, NewPGen, OpenPFGW, Primo |

Decimal Digits: | 1443 (log_{10} is 1442.1085754066) |

Rank (*): | 104994 (digit rank is 4) |

Entrance Rank (*): | 89281 |

Currently on list? (*): | short |

Submitted: | 1/1/2014 23:56:56 CDT |

Last modified: | 1/2/2014 00:20:57 CDT |

Database id: | 116800 |

Status Flags: | Verify, TrialDiv |

Score (*): | 26.4165 (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.

- Quintuplet (archivable class *)
- Prime on list:
yes, rank5

Subcategory: "Quintuplet (5)"

(archival tag id 217555, tag last modified 2020-12-06 23:20:13)

#### 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 116800 person_id 9 machine Ditto P4 P4 what prp notes Command: /home/ditto/client/pfgw -tc -q"163252711105*3371#/2+4" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 163252711105*3371#/2+4 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 3389, base 86+sqrt(3389) Calling N-1 BLS with factored part 0.48% and helper 0.06% (1.52% proof) 163252711105*3371#/2+4 is Fermat and Lucas PRP! (0.6385s+0.0003s) [Elapsed time: 1.00 seconds] modified 2020-07-07 17:30:18 created 2014-01-02 00:08:05 id 162309

Query times: 0.0005 seconds to select prime, 0.0008 seconds to seek comments.

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