# 3543733545 · 2^{3321910} - 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: | 3543733545 · 2^{3321910} - 1 |
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Verification status (*): | Proven |

Official Comment (*): | [none] |

Proof-code(s): (*): | L4960 : Kaiser1, NewPGen, TPS, LLR |

Decimal Digits: | 1000005 (log_{10} is 1000004.1023572) |

Rank (*): | 1098 (digit rank is 19) |

Entrance Rank (*): | 637 |

Currently on list? (*): | short |

Submitted: | 2/25/2020 10:01:27 CDT |

Last modified: | 2/25/2020 11:50:25 CDT |

Database id: | 130650 |

Status Flags: | TrialDiv |

Score (*): | 46.633 (normalized score 8.9224) |

#### 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 130650 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prime notes Command: /home/caldwell/client/llr.pl 3543733545*2^3321910-1 2>&1 Starting Lucas Lehmer Riesel prime test of 3543733545*2^3321910-1 Using zero-padded AVX FFT length 336K, Pass1=448, Pass2=768 V1 = 15 ; Computing U0... V1 = 15 ; Computing U0...done.Starting Lucas-Lehmer loop... 3543733545*2^3321910-1 is prime! (1000005 decimal digits) Time : 5874.359 sec. [Elapsed time: 1.63 hours] modified 2020-07-07 17:30:10 created 2020-02-25 10:11:01 id 176336

Query times: 0.0006 seconds to select prime, 0.0008 seconds to seek comments.

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