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Re: Re: Re: contains 208,987,640 decimal digits (was: Fibonachi[5,000,000] contains 1044938 decimal digits)

• To: mathgroup at smc.vnet.net
• Subject: [mg49957] Re: [mg49795] Re: [mg49782] Re: contains 208,987,640 decimal digits (was: Fibonachi[5,000,000] contains 1044938 decimal digits)
• From: Ed Pegg Jr <edpegg at gmail.com>
• Date: Sat, 7 Aug 2004 03:52:08 -0400 (EDT)
• References: <7f4ffu$6dj$1@nnrp1.dejanews.com>, <Mo2OZGACWlF3Ewez@raos.demon.co.uk>, <7g0qsd$dr9@smc.vnet.net> <cdvm0e$7hv$1@smc.vnet.net> <ce2ftd$8rh$1@smc.vnet.net> <200407271100.HAA11140@smc.vnet.net> <ceap6b$aej$1@smc.vnet.net> <200407310714.DAA12036@smc.vnet.net> <200408010809.EAA02501@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

For finding the number of digits in any sufficently large Fibonacci 
number in base 10, let k = (ArcCsch[2])/Log[10].  The number of 
digits in Fibonacci[n] is Round[n k].

k ~ 0.20898764024997873376927208923755541682245923991821

Fibonacci[10^9] has 10^9 k ~ 208987640 digits.

--Ed Pegg Jr
www.wolfram.com
www.mathpuzzle.com
www.maa.org columnist

• References:
  • Re: Re: contains 208,987,640 decimal digits (was: Fibonachi[5,000,000] contains 1044938 decimal digits)
    • From: Daniel Lichtblau <danl@wolfram.com>