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Re: Reverse factorial

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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.
Smallest number with a factorial of at least 10^07 digits is  1.7235080000000000000e+0006  \ 0.000 seconds elapsed.
Smallest number with a factorial of at least 10^08 digits is  1.4842907000000000000e+0007  \ 0.000 seconds elapsed.
Smallest number with a factorial of at least 10^09 digits is  1.3020280900000000000e+0008  \ 0.000 seconds elapsed.
Smallest number with a factorial of at least 10^10 digits is  1.1587875780000000000e+0009  \ 0.000 seconds elapsed.
Smallest number with a factorial of at least 10^11 digits is  1.0433891464000000000e+0010  \ 0.000 seconds elapsed.
Smallest number with a factorial of at least 10^12 digits is  9.4851898541000000000e+0010  \ 0.001 seconds elapsed.
Smallest number with a factorial of at least 10^13 digits is  8.6920049460000000000e+0011  \ 0.001 seconds elapsed.
Smallest number with a factorial of at least 10^14 digits is  8.0193462037860000000e+0012  \ 0.001 seconds elapsed.
Smallest number with a factorial of at least 10^15 digits is  7.4419210652836000000e+0013  \ 0.001 seconds elapsed.
Smallest number with a factorial of at least 10^16 digits is  6.9410085967969200000e+0014  \ 0.000 seconds elapsed.
Smallest number with a factorial of at least 10^17 digits is  6.5024648912168800000e+0015  \ 0.001 seconds elapsed.
Smallest number with a factorial of at least 10^18 digits is  6.1154108320430276000e+0016  \ 0.001 seconds elapsed.
Smallest number with a factorial of at least 10^19 digits is  5.7713453304452275000e+0017  \ 0.000 seconds elapsed.
Smallest number with a factorial of at least 10^20 digits is  5.4635317748670943960e+0018  \ 0.000 seconds elapsed. ok

-marcel

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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

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