# Phi(1479, - 100000000)

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.

#### This prime's information:

Description: | Phi(1479, - 100000000) |
---|---|

Verification status (*): | PRP |

Official Comment (*): | Unique, ECPP |

Proof-code(s): (*): | c47 : Chandler, Primo |

Decimal Digits: | 7168 (log_{10} is 7168) |

Rank (*): | 84523 (digit rank is 1) |

Entrance Rank (*): | 47036 |

Currently on list? (*): | no |

Submitted: | 10/9/2009 22:02:45 UTC |

Last modified: | 3/11/2023 15:54:10 UTC |

Database id: | 90382 |

Status Flags: | Verify |

Score (*): | 31.4075 (normalized score 0) |

#### 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.

- Elliptic Curve Primality Proof (archivable *)
- Prime on list:
no, rank415

Subcategory: "ECPP"

(archival tag id 210528, tag last modified 2023-05-15 15:37:14)- Unique (archivable *)
- Prime on list:
no, rank22

Subcategory: "Unique"

(archival tag id 210529, tag last modified 2023-05-15 15:37:15)

#### 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 90382 person_id 9 machine Ditto P4 P4 what prp notes Command: /home/ditto/client/pfgw -t -q"Phi(1479,-100000000)" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing Phi(1479,-100000000) [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 23 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(3072,21) to FFT(3072,20) Reduced from FFT(3072,20) to FFT(3072,19) Reduced from FFT(3072,19) to FFT(3072,18) Reduced from FFT(3072,18) to FFT(3072,17) Reduced from FFT(3072,17) to FFT(3072,16) 47632 bit request FFT size=(3072,16) Running N-1 test using base 43 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(3072,21) to FFT(3072,20) Reduced from FFT(3072,20) to FFT(3072,19) Reduced from FFT(3072,19) to FFT(3072,18) Reduced from FFT(3072,18) to FFT(3072,17) Reduced from FFT(3072,17) to FFT(3072,16) 47632 bit request FFT size=(3072,16) Running N-1 test using base 47 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(3072,21) to FFT(3072,20) Reduced from FFT(3072,20) to FFT(3072,19) Reduced from FFT(3072,19) to FFT(3072,18) Reduced from FFT(3072,18) to FFT(3072,17) Reduced from FFT(3072,17) to FFT(3072,16) 47632 bit request FFT size=(3072,16) Calling Brillhart-Lehmer-Selfridge with factored part 1.15% Phi(1479,-100000000) is PRP! (18.2800s+0.0100s) [Elapsed time: 18.00 seconds] modified 2020-07-07 22:30:37 created 2009-10-09 22:02:57 id 110138

field value prime_id 90382 person_id 9 machine Ditto P4 P4 what trial_divided notes Command: /home/ditto/client/pfgw -o -f -q"Phi(1479,-100000000)" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] trial factoring to 2004106 Phi(1479,-100000000) has no small factor. [Elapsed time: 1.343 seconds] modified 2020-07-07 22:30:37 created 2009-10-09 22:05:01 id 110139

Query times: 0.0003 seconds to select prime, 0.0005 seconds to seek comments.

Printed from the PrimePages <t5k.org> © Reginald McLean.