On Tue, May 5, 2009 at 11:49 AM, William Stein <wst...@gmail.com> wrote:
> On Tue, May 5, 2009 at 11:43 AM, VictorMiller <victorsmil...@gmail.com> wrote:
>>
>> As a comparison I just ran my old C program (implementing the
>> algorithm in my paper with Lagarias and Odlyzko) on my workstation
>> which is a fast Dell '86 box (sorry I don't have more details) running
>> Red Hat:
>
> Wow, I didn't know Dell was selling computers back in 1986.  :-)  [just 
> kiddin']
>
>>
>> time ./findn 249999999999999
>> n=249_999_999_999_999
>> pi(249_999_999_999_999)=7_783_516_108_362
>>
>> real    0m18.826s
>> user    0m18.628s
>> sys     0m0.028s
>
> Wow, nice!    Give my your C code!!
>

By the way, on a core2 2.66Ghz 13MB cache (sage.math) we have:

In[3]:= Timing[PrimePi[249999999999999]]

Out[3]= {155.44, 7783516108362}

So your timings above are significantly better than all general
purpose math software for
computing prime_pi.

William

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