# - E(902)/(9756496279 · 314344516832998594237)

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(902)/(9756496279 · 314344516832998594237) |
---|---|

Verification status (*): | PRP |

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

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

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

Decimal Digits: | 2069 (log_{10} is 2068.4574887772) |

Rank (*): | 101755 (digit rank is 4) |

Entrance Rank (*): | 32526 |

Currently on list? (*): | short |

Submitted: | 1/26/2002 19:22:04 CDT |

Last modified: | 1/26/2002 19:22:04 CDT |

Database id: | 35007 |

Status Flags: | Verify |

Score (*): | 27.5421 (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, rank851

Subcategory: "ECPP"

(archival tag id 176108, tag last modified 2022-11-14 11:36:29)- Euler Irregular primes (archivable *)
- Prime on list:
yes, rank20

Subcategory: "Euler Irregular primes"

(archival tag id 176107, tag last modified 2022-08-26 14:30:32)

#### 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 35007 person_id 9 machine Linux PII 200 what prp notes PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Reading factors from helper file helper Error opening file helper Running N-1 test using base 3 Primality testing -E(902)/(9756496279*3143445168...2998594237) [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 0.47% -E(902)/(9756496279*3143445168...2998594237) is PRP! (9.910000 seconds) modified 2003-03-25 11:22:47 created 2003-01-07 01:19:44 id 63977

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

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