# 7 · 2^{3015762} + 1

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Description: | 7 · 2^{3015762} + 1 |
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Verification status (*): | Proven |

Official Comment (*): | [none] |

Unofficial Comments: | This prime has 1 user comment below. |

Proof-code(s): (*): | g279 : Cooper, NewPGen, PRP, Proth.exe |

Decimal Digits: | 907836 (log_{10} is 907835.66688164) |

Rank (*): | 1382 (digit rank is 1) |

Entrance Rank (*): | 18 |

Currently on list? (*): | short |

Submitted: | 1/30/2008 21:50:43 CDT |

Last modified: | 1/31/2008 19:27:15 CDT |

Database id: | 83806 |

Status Flags: | none |

Score (*): | 46.3363 (normalized score 6.7453) |

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#### 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 83806 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 7 2 3015762 1 2>&1 [Elapsed time: 10.635 seconds] modified 2020-07-07 17:30:40 created 2008-01-30 21:52:02 id 96743

field value prime_id 83806 person_id 9 machine RedHat P4 P4 what prime notes Command: /home/caldwell/client/pfgw -t -q"7*2^3015762+1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 7*2^3015762+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 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) 6031538 bit request FFT size=(393216,16) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 7*2^3015762+1 is prime! (-2012.3313s+0.0000s) [Elapsed time: 21.57 hours] modified 2020-07-07 17:30:40 created 2008-01-30 21:53:02 id 96744

Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.

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