# Phi(2685, 67588246166904)/(72171843001561 · 182332981 · 1923646771 · 174457892355841 · 21784054190313871)

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Description: | Phi(2685, 67588246166904)/(72171843001561 · 182332981 · 1923646771 · 174457892355841 · 21784054190313871) |
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Verification status (*): | PRP |

Official Comment (*): | ECPP |

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

Proof-code(s): (*): | c54 : Wu_T, Primo |

Decimal Digits: | 19632 (log_{10} is 19631.75336861) |

Rank (*): | 68706 (digit rank is 5) |

Entrance Rank (*): | 59838 |

Currently on list? (*): | no |

Submitted: | 3/9/2015 00:58:46 CDT |

Last modified: | 3/9/2015 01:20:31 CDT |

Database id: | 119520 |

Status Flags: | Verify, TrialDiv |

Score (*): | 34.5288 (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, rank40

Subcategory: "ECPP"

(archival tag id 217916, tag last modified 2021-09-18 09:37:41)

#### 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 119520 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 Phi(2685,67588246166904)/(72171843001561*182332981*1923646771*174457892355841*21784054190313871) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 13 Running N+1 test using discriminant 19, base 9+sqrt(19) Calling N-1 BLS with factored part 0.05% and helper 0.00% (0.15% proof) Phi(2685,67588246166904)/(72171843001561*182332981*1923646771*174457892355841*21784054190313871) is Fermat and Lucas PRP! (32.6892s+0.0011s) [Elapsed time: 32.00 seconds] modified 2020-07-07 17:30:17 created 2015-03-09 01:11:02 id 165130

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

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