# 2915000572 · 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: | 2915000572 · 7001# + 1 |
---|---|

Verification status (*): | Proven |

Official Comment (*): | Arithmetic progression (6,d=3093612*7001#) |

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

Decimal Digits: | 3019 (log_{10} is 3018.8104644737) |

Rank (*): | 90297 (digit rank is 6) |

Entrance Rank (*): | 69499 |

Currently on list? (*): | short |

Submitted: | 2/28/2012 00:59:42 CDT |

Last modified: | 2/28/2012 01:41:23 CDT |

Database id: | 105200 |

Status Flags: | none |

Score (*): | 28.7199 (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, rank5, weight 46.406745183111

Subcategory: "Arithmetic progression (6,d=*)"

(archival tag id 214175, tag last modified 2018-04-22 01:20:28)

#### 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 105200 person_id 9 machine RedHat Virtual STEM Server what prime notes Command: /home/caldwell/client/pfgw -t -q"2915000572*7001#+1" 2>&1 PFGW Version 3.3.4.20100405.x86_Stable [GWNUM 25.14] Primality testing 2915000572*7001#+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7013 Calling Brillhart-Lehmer-Selfridge with factored part 33.38% 2915000572*7001#+1 is prime! (1.7387s+0.0005s) [Elapsed time: 9.00 seconds] modified 2020-07-07 17:30:28 created 2012-02-28 01:03:11 id 139984

field value prime_id 105200 person_id 9 machine Ditto P4 P4 what trial_divided notes Command: /home/ditto/client/TrialDiv/TrialDiv -q 2915000572 7001 # 1 2>&1 [Elapsed time: 363.179 seconds] modified 2020-07-07 17:30:28 created 2012-02-28 01:35:19 id 139990

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.

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