# E(1468)/(95 · 217158949445380764696306893 · 597712879321361736404369071)

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: | E(1468)/(95 · 217158949445380764696306893 · 597712879321361736404369071) |
---|---|

Verification status (*): | PRP |

Official Comment (*): | Euler irregular, ECPP |

Proof-code(s): (*): | c4 : Broadhurst, Primo |

Decimal Digits: | 3671 (log_{10} is 3670.30196446) |

Rank (*): | 92835 (digit rank is 2) |

Entrance Rank (*): | 32760 |

Currently on list? (*): | short |

Submitted: | 12/21/2003 18:31:51 UTC |

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

Database id: | 67770 |

Blob database id: | 107 |

Status Flags: | Verify |

Score (*): | 29.328 (normalized score 0) |

#### Description: (from blob table id=107)

[This prime has a pre-calculated decimal expansion (linked blob)]

#### 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, rank667

Subcategory: "ECPP"

(archival tag id 179005, tag last modified 2023-12-02 02:37:22)- Euler Irregular primes (archivable *)
- Prime on list:
yes, rank17

Subcategory: "Euler Irregular primes"

(archival tag id 179004, tag last modified 2023-10-06 17:37:13)

#### 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 67770 person_id 9 machine Linux P4 2.8GHz what prp notes PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 2004308000...5156200481 [N-1/N+1, Brillhart-Lehmer-Selfridge] trial factoring to 969046 Running N-1 test using base 3 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(1536,21) to FFT(1536,20) Reduced from FFT(1536,20) to FFT(1536,19) Reduced from FFT(1536,19) to FFT(1536,18) Reduced from FFT(1536,18) to FFT(1536,17) Reduced from FFT(1536,17) to FFT(1536,16) 24394 bit request FFT size=(1536,16) 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(1536,21) to FFT(1536,20) Reduced from FFT(1536,20) to FFT(1536,19) Reduced from FFT(1536,19) to FFT(1536,18) Reduced from FFT(1536,18) to FFT(1536,17) Reduced from FFT(1536,17) to FFT(1536,16) 24402 bit request FFT size=(1536,16) Running N+1 test using discriminant 7, base 2+sqrt(7) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(1536,21) to FFT(1536,20) Reduced from FFT(1536,20) to FFT(1536,19) Reduced from FFT(1536,19) to FFT(1536,18) Reduced from FFT(1536,18) to FFT(1536,17) Reduced from FFT(1536,17) to FFT(1536,16) 24402 bit request FFT size=(1536,16) Calling N-1 BLS with factored part 0.25% and helper 0.03% (0.79% proof) 2004308000...5156200481 is Fermat and Lucas PRP! (13.1723s+0.0017s) modified 2020-07-07 22:30:45 created 2004-08-21 14:24:17 id 76340

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

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