# (V(48395, 1, 6921) - 1)/(V(48395, 1, 9) - 1)

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Description: | (V(48395, 1, 6921) - 1)/(V(48395, 1, 9) - 1) |
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Verification status (*): | PRP |

Official Comment (*): | Lehmer primitive part |

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

Proof-code(s): (*): | x45 : Batalov, OpenPFGW, Primo, Unknown |

Decimal Digits: | 32382 (log_{10} is 32381.34101459) |

Rank (*): | 61868 (digit rank is 2) |

Entrance Rank (*): | 59068 |

Currently on list? (*): | short |

Submitted: | 8/5/2019 22:31:34 CDT |

Last modified: | 8/5/2019 22:50:17 CDT |

Database id: | 126722 |

Status Flags: | Verify, TrialDiv |

Score (*): | 36.0757 (normalized score 0.0002) |

#### 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.

- Lehmer primitive part (archivable *)
- Prime on list:
yes, rank3

Subcategory: "Lehmer primitive part"

(archival tag id 220376, tag last modified 2019-08-26 13:20:28)

#### 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 126722 person_id 9 machine Using: Xeon (pool) 4c+4c 3.5GHz what prp notes Command: /home/caldwell/clientpool/1/pfgw64 -tc -q"(lucasV(48395,1,6921)-1)/(lucasV(48395,1,9)-1)" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing (lucasV(48395,1,6921)-1)/(lucasV(48395,1,9)-1) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 41 Running N-1 test using base 53 Running N+1 test using discriminant 61, base 12+sqrt(61) Calling N-1 BLS with factored part 1.38% and helper 0.01% (4.14% proof) (lucasV(48395,1,6921)-1)/(lucasV(48395,1,9)-1) is Fermat and Lucas PRP! (112.3509s+0.0029s) [Elapsed time: 1.87 minutes] modified 2020-07-07 17:30:13 created 2019-08-05 22:33:02 id 172407

Query times: 0.0002 seconds to select prime, 0.0006 seconds to seek comments.

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