# 11 · 2^{4643238} - 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: | 11 · 2^{4643238} - 1 |
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Verification status (*): | Proven |

Official Comment (*): | [none] |

Proof-code(s): (*): | L2484 : Ritschel, PSieve, Srsieve, Rieselprime, LLR |

Decimal Digits: | 1397755 (log_{10} is 1397754.9563995) |

Rank (*): | 303 (digit rank is 1) |

Entrance Rank (*): | 42 |

Currently on list? (*): | short |

Submitted: | 3/31/2014 05:53:11 CDT |

Last modified: | 3/31/2014 11:52:12 CDT |

Database id: | 117523 |

Status Flags: | TrialDiv |

Score (*): | 47.6602 (normalized score 24.9222) |

#### 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 117523 person_id 9 machine WinXP Dual Core 2.6GHz 32-bit what prime notes Command: cllr.exe -q"11*2^4643238-1" 2>&1 -d Starting Lucas Lehmer Riesel prime test of 11*2^4643238-1 Using FFT length 256K, Pass1=1K, Pass2=256 V1 = 4 ; Computing U0... V1 = 4 ; Computing U0...done. Starting Lucas-Lehmer loop... [Elapsed time: 17680 seconds] modified 2020-07-07 17:30:17 created 2014-03-31 06:46:33 id 163046

Query times: 0.0006 seconds to select prime, 0.0007 seconds to seek comments.

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