# primV(38513, - 1, 11502)

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.

#### This prime's information:

Description: | primV(38513, - 1, 11502) |
---|---|

Verification status (*): | Proven |

Official Comment (*): | Generalized Lucas primitive part |

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

Proof-code(s): (*): | x23 : Broadhurst, Water, Renze, OpenPFGW, Primo |

Decimal Digits: | 34668 (log_{10} is 34667.191565536) |

Rank (*): | 66204 (digit rank is 1) |

Entrance Rank (*): | 16517 |

Currently on list? (*): | short |

Submitted: | 11/13/2006 16:01:18 UTC |

Last modified: | 3/11/2023 15:54:10 UTC |

Database id: | 78834 |

Status Flags: | none |

Score (*): | 36.2864 (normalized score 0.0001) |

#### 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.

- Generalized Lucas primitive part (archivable *)
- Prime on list:
yes, rank6

Subcategory: "Generalized Lucas primitive part"

(archival tag id 190780, tag last modified 2023-03-11 15:53:59)

#### 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 78834 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/pfgw -o -f -q"primV(38513,-1,11502)" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] trial factoring to 10963339 primV(38513,-1,11502) has no small factor. [Elapsed time: 31.312 seconds] modified 2020-07-07 22:30:42 created 2006-11-13 16:22:02 id 86766

field value prime_id 78834 person_id 9 machine WinXP Pent_M 1.7GHz Laptop what prime notes Command: pfgw.exe -n -tc -hhelp.txt -q"primV(38513,-1,11502)" 2>&1 PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Reading factors from helper file help.txt Running N-1 test using base 47 Primality testing primV(38513,-1,11502) [N-1/N+1, Brillhart-Lehmer-Selfridge] N-Calling N-1 BLS with factored part 34.46% and helper 0.01% (103.40% proof) primV(38513,-1,11502) is prime! (3819.0341s+0.6583s) 1Running N+1 test using discriminant 67, base 18+sqrt(67) [Elapsed time: 3830 seconds] modified 2020-07-07 22:30:42 created 2006-11-15 13:41:49 id 86804

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.

Printed from the PrimePages <t5k.org> © Reginald McLean.