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# 1781450041395 · 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: | 1781450041395 · 2^{1290000} - 1 |
---|---|

Verification status (*): | Proven |

Official Comment (*): | Arithmetic progression (1,d=69718264533*2^1290002) [p199] |

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

Decimal Digits: | 388341 (log_{10} is 388340.94518018) |

Rank (*): | 9718 (digit rank is 206) |

Entrance Rank (*): | 2475 |

Currently on list? (*): | short |

Submitted: | 1/27/2015 10:08:10 CDT |

Last modified: | 10/1/2015 20:20:03 CDT |

Database id: | 119147 |

Status Flags: | TrialDiv |

Score (*): | 43.7286 (normalized score 0.6307) |

#### 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, rank3

Subcategory: "Arithmetic progression (1,d=*)"

(archival tag id 218090, tag last modified 2016-12-25 17:20:03)

#### 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 119147 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prime notes Command: /home/caldwell/client/llr.pl 1781450041395*2^1290000-1 2>&1

Starting Lucas Lehmer Riesel prime test of 1781450041395*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...

1781450041395*2^1290000-1 is prime! (388341 decimal digits) Time : 775.677 sec.

[Elapsed time: 12.93 minutes]modified 2015-04-20 07:32:10 created 2015-01-27 10:21:58 id 164750

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

Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.