# 1836485749947 · 2^{1290000} - 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: | 1836485749947 · 2^{1290000} - 1 |
---|---|

Verification status (*): | Proven |

Official Comment (*): | Arithmetic progression (2,d=222119028825*2^1290002) [p199] |

Proof-code(s): (*): | L3203 : Scalise, TwinGen, PrimeGrid, LLR |

Decimal Digits: | 388341 (log_{10} is 388340.9583941) |

Rank (*): | 10228 (digit rank is 158) |

Entrance Rank (*): | 2619 |

Currently on list? (*): | no |

Submitted: | 2/17/2015 03:40:40 CDT |

Last modified: | 10/16/2015 14:35:49 CDT |

Database id: | 119350 |

Status Flags: | TrialDiv |

Score (*): | 43.7286 (normalized score 0.5796) |

#### 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:
no, rank8

Subcategory: "Arithmetic progression (2,d=*)"

(archival tag id 218110, tag last modified 2020-04-08 13:50:11)

#### 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 119350 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prime notes Command: /home/caldwell/client/llr.pl 1836485749947*2^1290000-1 2>&1 Starting Lucas Lehmer Riesel prime test of 1836485749947*2^1290000-1 Using zero-padded AVX FFT length 128K, Pass1=128, Pass2=1K V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done.Starting Lucas-Lehmer loop... 1836485749947*2^1290000-1 is prime! (388341 decimal digits) Time : 778.740 sec. [Elapsed time: 12.98 minutes] modified 2020-07-07 17:30:17 created 2015-02-17 05:12:20 id 164957

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

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