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# 3124777373 · 7001# + 1

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: | 3124777373 · 7001# + 1 |
---|---|

Verification status (*): | Proven |

Official Comment (*): | Arithmetic progression (7,d=481789017*7001#) |

Proof-code(s): (*): | p155 : DavisK, NewPGen, OpenPFGW |

Decimal Digits: | 3019 (log_{10} is 3018.8406449106) |

Rank (*): | 89071 (digit rank is 2) |

Entrance Rank (*): | 68886 |

Currently on list? (*): | short |

Submitted: | 2/9/2012 05:06:34 CDT |

Last modified: | 2/9/2012 11:16:27 CDT |

Database id: | 104454 |

Status Flags: | none |

Score (*): | 28.72 (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.

- Arithmetic Progressions of Primes (archivable class *)
- Prime on list:
yes, rank1, weight 50.6538134778804

Subcategory: "Arithmetic progression (7,d=*)"

(archival tag id 214033, tag last modified 2016-03-15 13:57:14)

#### 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 104454 person_id 9 machine Ditto P4 P4 what prime notes Command: /home/ditto/client/pfgw -t -q"3124777373*7001#+1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 3124777373*7001#+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 33.38% 3124777373*7001#+1 is prime! (3.4492s+0.0006s) [Elapsed time: 4.00 seconds] modified 2020-07-07 17:30:29 created 2012-02-09 05:08:24 id 138426

field value prime_id 104454 person_id 9 machine Ditto P4 P4 what trial_divided notes Command: /home/ditto/client/TrialDiv/TrialDiv -q 3124777373 7001 # 1 2>&1 [Elapsed time: 365.331 seconds] modified 2020-07-07 17:30:28 created 2012-02-09 11:10:21 id 138495

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

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