# U(33997)/81\

19544695419968014626314520991088099382355441843013

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Description: | U(33997)/81\ 19544695419968014626314520991088099382355441843013 |
---|---|

Verification status (*): | PRP |

Official Comment (*): | Fibonacci cofactor, ECPP |

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

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

Decimal Digits: | 7053 (log_{10} is 7052.6937888995) |

Rank (*): | 81137 (digit rank is 2) |

Entrance Rank (*): | 67400 |

Currently on list? (*): | short |

Submitted: | 4/30/2013 16:43:00 CDT |

Last modified: | 4/30/2013 17:20:41 CDT |

Database id: | 114024 |

Status Flags: | Verify |

Score (*): | 31.3572 (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, rank332

Subcategory: "ECPP"

(archival tag id 217121, tag last modified 2021-02-24 00:50:27)- Fibonacci cofactor (archivable *)
- Prime on list:
yes, rank20

Subcategory: "Fibonacci cofactor"

(archival tag id 217122, tag last modified 2020-09-18 15:20:29)

#### 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 114024 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/pfgw -o -f -q"U(33997)/8119544695419968014626314520991088099382355441843013" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] U(33997)/8119544....9382355441843013 1/1 mro=0 trial factoring to 1969210 U(33997)/8119544695...5441843013 has no small factor. [Elapsed time: 1.297 seconds] modified 2020-07-07 17:30:19 created 2013-04-30 16:48:01 id 158411

field value prime_id 114024 person_id 9 machine RedHat P4 P4 what prp notes Command: /home/caldwell/client/pfgw -tc -q"U(33997)/8119544695419968014626314520991088099382355441843013" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing U(33997)/8119544695...5441843013 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 7, base 1+sqrt(7) Calling N-1 BLS with factored part 0.21% and helper 0.06% (0.69% proof) U(33997)/8119544695...5441843013 is Fermat and Lucas PRP! (19.9117s+0.0009s) [Elapsed time: 20.00 seconds] modified 2020-07-07 17:30:19 created 2013-04-30 16:53:01 id 158416

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.

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