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# 46821 · 2^{3021380} - 374567

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: | 46821 · 2^{3021380} - 374567 |
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Verification status (*): | Proven |

Official Comment (*): | [none] |

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

Proof-code(s): (*): | p363 : Batalov, OpenPFGW |

Decimal Digits: | 909531 (log_{10} is 909530.67873993) |

Rank (*): | 2420 (digit rank is 2) |

Entrance Rank (*): | 85 |

Currently on list? (*): | short |

Submitted: | 9/9/2013 01:04:11 UTC |

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

Database id: | 115433 |

Status Flags: | Verify, TrialDiv |

Score (*): | 46.342 (normalized score 4.8347) |

#### 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 115433 person_id 9 machine RedHat Virtual STEM Server what prime notes PFGW Version 3.3.4.20100405.x86_Stable [GWNUM 25.14] Primality testing 46821*2^3021380-374567 [N-1, Brillhart-Lehmer-Selfridge] Reading factors from helper file helper: 2^3021377-1 trial factoring to 3567360 Running N-1 test using base 11 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 46821*2^3021380-374567 is prime! (111545.6590s+0.0429s) modified 2020-07-07 22:30:18 created 2013-09-09 01:58:07 id 160918

Query times: 0.0003 seconds to select prime, 0.0005 seconds to seek comments.

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