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# U(30671)/1141737296775689

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: | U(30671)/1141737296775689 |
---|---|

Verification status (*): | PRP |

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

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

Proof-code(s): (*): | c41 : Andersen, Rosenthal, Primo |

Decimal Digits: | 6395 (log_{10} is 6394.45286292) |

Rank (*): | 86307 (digit rank is 1) |

Entrance Rank (*): | 35038 |

Currently on list? (*): | no |

Submitted: | 12/5/2005 02:05:07 UTC |

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

Database id: | 76368 |

Status Flags: | Verify |

Score (*): | 31.0531 (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.

- Fibonacci cofactor (archivable *)
- Prime on list:
no, rank24

Subcategory: "Fibonacci cofactor"

(archival tag id 194825, tag last modified 2023-03-11 15:53:59)- Elliptic Curve Primality Proof (archivable *)
- Prime on list:
no, rank441

Subcategory: "ECPP"

(archival tag id 194824, tag last modified 2023-03-11 16:02:30)

#### 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 76368 person_id 9 machine Linux P4 2.8GHz what prp notes Command: /home/caldwell/client/pfgw -f -tc -q"U(30671)/1141737296775689" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing U(30671)/1141737296775689 [N-1/N+1, Brillhart-Lehmer-Selfridge] trial factoring to 1770815 Running N-1 test using base 3 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(2560,21) to FFT(2560,20) Reduced from FFT(2560,20) to FFT(2560,19) Reduced from FFT(2560,19) to FFT(2560,18) Reduced from FFT(2560,18) to FFT(2560,17) 42492 bit request FFT size=(2560,17) Running N+1 test using discriminant 7, base 1+sqrt(7) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(2560,21) to FFT(2560,20) Reduced from FFT(2560,20) to FFT(2560,19) Reduced from FFT(2560,19) to FFT(2560,18) Reduced from FFT(2560,18) to FFT(2560,17) 42500 bit request FFT size=(2560,17) Calling N-1 BLS with factored part 0.16% and helper 0.01% (0.50% proof) U(30671)/1141737296775689 is Fermat and Lucas PRP! (34.7709s+0.0014s) [Elapsed time: 35 seconds] modified 2020-07-07 22:30:43 created 2005-12-05 02:23:01 id 81577

Query times: 0.0003 seconds to select prime, 0.0005 seconds to seek comments.

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