- **Math**
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- - **Nash value of exponent**
(*https://www.mersenneforum.org/showthread.php?t=23640*)

Nash value of exponentWe all know there is k ( on any base) that can have low nash value or high nash value.
When I start searching prime in fixed exponent type, I also noticed some exponent have on same k range little more exponent that survive sieve from another. But difference is small , maybe ( or max) 2-3%. So if someone here know the answer: is on[U] any base[/U] some[U] exponent that will produce [/U]significant lower sieve files, or will every be case Iike I observed. And of course, if such exponent exist, how to compute more of them. Thanks! |

For k*b^n+-1, I think you are talking about fixed b and n and variable k?
Some of this is randomness involved with distribution of factors. When n has a lot of small factors and k is a power then they could have a factor. e.g. 4*5^10-1 will have factors 2*5^5+1 and 2*5^5-1 |

[QUOTE=pepi37;495683]So if someone here know the answer: is on[U] any base[/U] some[U] exponent that will produce [/U]significant lower sieve files, or will every be case Iike I observed.[/QUOTE]
The short answer is no. Except for minor statistical noise, there is not going to be meaningful difference between different exponents. |

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