# (2^{226749} - 1)^{2} - 2

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Description: | (2^{226749} - 1)^{2} - 2 |
---|---|

Verification status (*): | Proven |

Official Comment (*): | [none] |

Proof-code(s): (*): | p103 : Harvey, MultiSieve, OpenPFGW |

Decimal Digits: | 136517 (log_{10} is 136516.500973624) |

Rank (*): | 37634 (digit rank is 1) |

Entrance Rank (*): | 284 |

Currently on list? (*): | no |

Submitted: | 1/11/2005 14:48:56 CDT |

Last modified: | 1/11/2005 14:48:56 CDT |

Removed (*): | 9/21/2009 09:18:54 CDT |

Database id: | 73109 |

Status Flags: | none |

Score (*): | 40.513 (normalized score 0.0231) |

#### 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 73109 person_id 9 machine Linux P4 2.8GHz what prime notes Command: /home/caldwell/client/pfgw -f -tc -q"(2^226749-1)^2-2" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing (2^226749-1)^2-2 [N-1/N+1, Brillhart-Lehmer-Selfridge] trial factoring to 47524042 Running N-1 test using base 11 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(57344,20) to FFT(57344,19) Reduced from FFT(57344,19) to FFT(57344,18) Reduced from FFT(57344,18) to FFT(57344,17) Reduced from FFT(57344,17) to FFT(57344,16) 907004 bit request FFT size=(57344,16) Running N-1 test using base 17 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(57344,20) to FFT(57344,19) Reduced from FFT(57344,19) to FFT(57344,18) Reduced from FFT(57344,18) to FFT(57344,17) Reduced from FFT(57344,17) to FFT(57344,16) 907004 bit request FFT size=(57344,16) Running N-1 test using base 19 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(57344,20) to FFT(57344,19) Reduced from FFT(57344,19) to FFT(57344,18) Reduced from FFT(57344,18) to FFT(57344,17) Reduced from FFT(57344,17) to FFT(57344,16) 907004 bit request FFT size=(57344,16) Running N+1 test using discriminant 29, base 1+sqrt(29) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(57344,20) to FFT(57344,19) Reduced from FFT(57344,19) to FFT(57344,18) Reduced from FFT(57344,18) to FFT(57344,17) Reduced from FFT(57344,17) to FFT(57344,16) 907012 bit request FFT size=(57344,16) Running N+1 test using discriminant 29, base 2+sqrt(29) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(57344,20) to FFT(57344,19) Reduced from FFT(57344,19) to FFT(57344,18) Reduced from FFT(57344,18) to FFT(57344,17) Reduced from FFT(57344,17) to FFT(57344,16) 907012 bit request FFT size=(57344,16) Running N+1 test using discriminant 29, base 3+sqrt(29) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(57344,20) to FFT(57344,19) Reduced from FFT(57344,19) to FFT(57344,18) Reduced from FFT(57344,18) to FFT(57344,17) Reduced from FFT(57344,17) to FFT(57344,16) 907012 bit request FFT size=(57344,16) Calling N+1 BLS with factored part 50.01% and helper 0.00% (150.03% proof) (2^226749-1)^2-2 is prime! (81666.6389s+0.0387s) modified 2020-07-07 17:30:44 created 2005-01-11 14:53:00 id 78121

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.

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