Re: Mersenne: Slaying Cdplayers for prime95

2002-01-17 Thread Daidalos


Dear Brian

Thank you for your long and detailed response.

I will surely follow it carefully.


Lampros



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Mersenne: Russian anyone?

2002-01-17 Thread George Woltman

Hey,

Are there any readers that can help a Russian user install prime95
on a computer?  If so, let me know and I'll forward your email address
to the user.

Thanks,
George 

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RE: Mersenne: Factors

2002-01-17 Thread Will Edgington


Hoogendoorn, Sander writes:
   Torben Schlaqntz wrote:

It seems to me that this k (in 2kp+1) is never:
  4,12,20,28,36,46,52,60,68,76,84
at least for less than M416.947.
Am I again a fool for a pattern already proved?

   It has been proven that k = 1 or 7 mod 8

Careful!  It has been proven that _factors_ are of that form, not that
the k's (of 2*k*p + 1 where 2*k*p + 1 is a factor of M(p)) are of that
form.  k, in fact, can be 0 mod 4, e.g., since, if a factor is 1 mod 8:

factor = 2*k*p + 1 = 1 (mod 8)
2*k*p = 0 (mod 8)
k*p = 0 (mod 4)
k = 0 (mod 4)

... since p, being prime, is not 0 mod 4.  This occurs, e.g., for
M(11), as one of the factors is 89.

Will
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SV: Mersenne: just some comments to improve our site

2002-01-17 Thread Torben Schlntz

Daran wrote:
 
Have we sent a newletter since finding M#39?

No, no that I'm aware of. 
But we might have raised limit of numbers factorized by several 1000's. 
Or the highest number just being handed out by the primenet server has
reasched some limit worthwhile mentioning.
 
br
tsc
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