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Old 2009-07-29, 12:51   #56
R.D. Silverman
 
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"Bob Silverman"
Nov 2003
North of Boston

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Quote:
Originally Posted by geoff View Post
Some people seem to have missed the part of the original message where it was stated that k is the sieving variable. In k*b1^m*b2^n, b1, b2, m, n are all fixed.

.
But now the sieve becomes TRIVIAL; you are sieving over an
arithmetic progression 1 + k * r, with r fixed for k = 0,1,2,3,.......

And even if k and r are multi-precision, the only MP code one
needs is to compute r mod p_i for each p_i in your sieve. This
is to initialize the sieve. One can even speed this sieve by using some
variant of Brent's sub-linear sieve. (but this takes a bit more MP code
to implement).
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Old 2023-05-27, 00:21   #57
samphagan
 
"Samuel Claude Phagan"
May 2023

102 Posts
Question Rude Treatment of 'beyastard'

Quote:
Originally Posted by R.D. Silverman View Post
But now the sieve becomes TRIVIAL; you are sieving over an
arithmetic progression 1 + k * r, with r fixed for k = 0,1,2,3,.......

And even if k and r are multi-precision, the only MP code one
needs is to compute r mod p_i for each p_i in your sieve. This
is to initialize the sieve. One can even speed this sieve by using some
variant of Brent's sub-linear sieve. (but this takes a bit more MP code
to implement).
Have you ever once considered that someone might live with disabilities and still have talent so they may know bits and pieces of high level knowledge of abstract mathematical concepts without knowing the full picture? Have you ever once considered sympathy or empathy?... Or is that not a commonly used process in high mathematics?
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Old 2023-05-27, 06:45   #58
Batalov
 
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"Serge"
Mar 2008
San Diego, Calif.

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You have patiently waited for 13 years to post this?
And you didn't notice that R.D. Silverman answered geoff's message, not 'beyastard's?
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Old 2023-05-27, 19:11   #59
samphagan
 
"Samuel Claude Phagan"
May 2023

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Quote:
Originally Posted by Batalov View Post
You have patiently waited for 13 years to post this?
And you didn't notice that R.D. Silverman answered geoff's message, not 'beyastard's?
sorry my bad i wasn't seeing clearly
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