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# U(10853, 1, 3960) + U(10853, 1, 3959)

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.

Description: | U(10853, 1, 3960) + U(10853, 1, 3959) |
---|---|

Verification status (*): | PRP |

Official Comment (*): | Lehmer number, cyclotomy |

Proof-code(s): (*): | x25 : Water, Broadhurst, Primo, OpenPFGW |

Decimal Digits: | 15977 (log_{10} is 15976.7416955375) |

Rank (*): | 69534 (digit rank is 1) |

Entrance Rank (*): | 12313 |

Currently on list? (*): | no |

Submitted: | 12/6/2002 02:34:58 CDT |

Last modified: | 12/6/2002 02:34:58 CDT |

Database id: | 60896 |

Status Flags: | Verify |

Score (*): | 33.8913 (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.

- Lehmer number (archivable *)
- Prime on list:
no, rank23

Subcategory: "Lehmer number"

(archival tag id 192457, tag last modified 2019-08-03 12:50:11)- Cyclotomy Proof (tolerated *)
- Prime on list:
no, rank17

Subcategory: "Cyclotomy Proof"

(archival tag id 192456, tag last modified 2019-06-27 21:50:21)

#### 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 60896 person_id 9 machine Linux PII 200 what prp notes PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Primality Running N-1 test using base 29 4488160468...9451429599 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 47, base 1+sqrt(47) Calling N+1 BLS with factored part 1.33% and helper 0.40% (4.39% proof) U(10853,1,3960)+U(10853,1,3959) is Fermat and Lucas PRP! (-261.707296 seconds) modified 2003-03-25 11:21:50 created 2003-01-20 18:30:56 id 66904

Query times: 0.0005 seconds to select prime, 0.0006 seconds to seek comments.

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