Re: Reverse factorial

From	"Ed" <invalid@nospam.com>
Newsgroups	comp.lang.forth
Subject	Re: Reverse factorial
Date	2012-07-05 23:14 +1000
Organization	Aioe.org NNTP Server
Message-ID	<jt43vb$ag7$1@speranza.aioe.org> (permalink)
References	<7xhato3a0v.fsf@ruckus.brouhaha.com> <57661300968435@frunobulax.edu>

Show all headers | View raw

Marcel Hendrix wrote:
> Paul Rubin <no.email@nospam.invalid> writes Re: Reverse factorial
>
> > mhx@iae.nl (Marcel Hendrix) writes:
> >> It is beyond my semantic capabability to understand what "Smallest
> >> number with a factorial of at least 10^x digits" means exactly.
>
> > n = minimum { k | length(decimal representation of k!) >= 10^x }
>
> > For d>0, the length of the decimal representation of d is
> > 1 + floor(log10 d).
>
> Thanks!
>
> FORTH> runs
> Smallest number with a factorial of at least 10^00 digits is  0.0000000000000000000e+0000  \
> 0.000 seconds elapsed.
> Smallest number with a factorial of at least 10^01 digits is 1.3000000000000000000e+0001  \
> 0.000 seconds elapsed.
> Smallest number with a factorial of at least 10^02 digits is  7.0000000000000000000e+0001  \
> 0.001 seconds elapsed.
> Smallest number with a factorial of at least 10^03 digits is  4.5000000000000000000e+0002  \
> 0.000 seconds elapsed.
> Smallest number with a factorial of at least 10^04 digits is 3.2490000000000000000e+0003  \
> 0.001 seconds elapsed.
> Smallest number with a factorial of at least 10^05 digits is  2.5206000000000000000e+0004  \
> 0.000 seconds elapsed.
> Smallest number with a factorial of at least 10^06 digits is  2.0502200000000000000e+0005  \
> 0.000 seconds elapsed.
> ...

What program generated these?  Was the result for 10^00 calculated
or plugged-in?

Back to comp.lang.forth | Previous | Next — Previous in thread | Find similar | Unroll thread

Thread

Reverse factorial "Ed" <invalid@nospam.com> - 2012-06-29 11:51 +1000
  Re: Reverse factorial mhx@iae.nl (Marcel Hendrix) - 2012-06-30 02:05 +0200
    Re: Reverse factorial "Ed" <invalid@nospam.com> - 2012-06-30 12:26 +1000
    Re: Reverse factorial "Ed" <invalid@nospam.com> - 2012-07-01 23:17 +1000
      Re: Reverse factorial mhx@iae.nl (Marcel Hendrix) - 2012-07-01 16:51 +0200
        Re: Reverse factorial "Ed" <invalid@nospam.com> - 2012-07-02 05:40 +1000
          Re: Reverse factorial Paul Rubin <no.email@nospam.invalid> - 2012-07-02 22:08 -0700
            Re: Reverse factorial "Ed" <invalid@nospam.com> - 2012-07-03 17:02 +1000
            Re: Reverse factorial mhx@iae.nl (Marcel Hendrix) - 2012-07-03 21:14 +0200
              Re: Reverse factorial Paul Rubin <no.email@nospam.invalid> - 2012-07-03 12:44 -0700
                Re: Reverse factorial mhx@iae.nl (Marcel Hendrix) - 2012-07-03 22:37 +0200
                Re: Reverse factorial "Ed" <invalid@nospam.com> - 2012-07-05 23:14 +1000

csiph-web