# 1176694^{131072} + 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: | 1176694^{131072} + 1 |
---|---|

Verification status (*): | Proven |

Official Comment (*): | Generalized Fermat |

Proof-code(s): (*): | g236 : Heuer, GFN17Sieve, GFNSearch, Proth.exe |

Decimal Digits: | 795695 (log_{10} is 795694.01138093) |

Rank (*): | 1752 (digit rank is 1) |

Entrance Rank (*): | 5 |

Currently on list? (*): | yes |

Submitted: | 8/21/2003 10:31:08 CDT |

Last modified: | 8/21/2003 10:31:08 CDT |

Database id: | 65979 |

Status Flags: | none |

Score (*): | 45.9316 (normalized score 4.4962) |

#### 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.

- Generalized Fermat (archivable *)
- Prime on list:
no, rank505

Subcategory: "Generalized Fermat"

(archival tag id 204697, tag last modified 2021-09-11 09:37:18)

#### 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 65979 person_id 9 machine Linux P4 2.8GHz what prime notes Command: /home/caldwell/client/pfgw -f -t -q"1176694^131072+1" 2>&1 PFGW Version 20030702.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] trial factoring to 309612998 Running N-1 test using base 3 Primality testing 1176694^131072+1 [N-1, Brillhart-Lehmer-Selfridge] Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(393216,19) to FFT(393216,18) Reduced from FFT(393216,18) to FFT(393216,17) Reduced from FFT(393216,17) to FFT(393216,16) 5286486 bit request FFT size=(393216,16) Calling Brillhart-Lehmer-Selfridge with factored part 95.04% 1176694^131072+1 is prime! (-1579.3294s+0.2200s) modified 2020-07-07 17:30:47 created 2003-08-21 10:40:26 id 70864

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

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