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Re: number of digits in n^p

• To: mathgroup at smc.vnet.net
• Subject: [mg60465] Re: number of digits in n^p
• From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
• Date: Sat, 17 Sep 2005 02:31:46 -0400 (EDT)
• Organization: The Open University, Milton Keynes, U.K.
• References: <dgdu77$152$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

George wrote:
> i wonder if there is a formula, a function, or a method in mathematica to know the number of digits in  n raised to the power of p without calculating the result, such as 67^89 will give us a number with 163 digits in it, is there a way to know this result without actually calculating 67^89
> thanks
> George

Hi George,

Is this what you are looking for?

In[1]:=
Plus @@ DigitCount[67^89]

Out[1]=
163

Best regards,
/J.M.