mersenneforum.org What minimum exponent would give 100M digit prime?
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 2010-04-18, 01:21 #1 odin   Apr 2010 110112 Posts What minimum exponent would give 100M digit prime? Hello All, What minimum exponent value would give a 100M digit prime? Also is there a calculator on the internet or that I could download that could give me the specific number that any exponent I use in the formula 2^P - 1? Like to calculate the value of: 2^49254458 - 1? Of course my computer's calculator gives infinity!!!!! Thanks. Last fiddled with by odin on 2010-04-18 at 01:22
 2010-04-18, 01:24 #2 CADavis     Jul 2005 Des Moines, Iowa, USA AA16 Posts http://mersenne-aries.sili.net/digits.php calculate number of digits from an exponent i think it something above 332,000,000 for the exponent to give a 100M digit mersenne number.
2010-04-18, 01:28   #3
odin

Apr 2010

338 Posts

Quote:
 Originally Posted by CADavis http://mersenne-aries.sili.net/digits.php calculate number of digits from an exponent i think it something above 332,000,000 for the exponent to give a 100M digit mersenne number.
Thanks. You are right. I don't think I will be winning that prize. lol

2010-04-18, 02:22   #4
lfm

Jul 2006
Calgary

52·17 Posts

Quote:
 Originally Posted by CADavis http://mersenne-aries.sili.net/digits.php calculate number of digits from an exponent i think it something above 332,000,000 for the exponent to give a 100M digit mersenne number.
Its pretty easy if you have a proper calculator. Just 1e6*ln(10)/ln(2)=3321928.09 or so.

 2010-04-18, 05:58 #5 Uncwilly 6809 > 6502     """"""""""""""""""" Aug 2003 101×103 Posts 5×41×47 Posts 332192831 is the first prime that is 100 M digits. There is a thread for those that TF'ing those in the range.
2010-04-18, 11:05   #6
10metreh

Nov 2008

1001000100102 Posts

Quote:
 Originally Posted by Uncwilly 332192831 is the first prime that is 100 M digits.
[pedant]No, it's the first prime p such that log10(2p-1) > 99,999,999.[/pedant]

2010-04-18, 11:09   #7
lfm

Jul 2006
Calgary

52×17 Posts

Quote:
 Originally Posted by lfm Its pretty easy if you have a proper calculator. Just 1e6*ln(10)/ln(2)=3321928.09 or so.
oops should be 1e8!

2010-04-18, 13:57   #8
Uncwilly
6809 > 6502

"""""""""""""""""""
Aug 2003
101×103 Posts

25A316 Posts

Quote:
 Originally Posted by 10metreh [pedant]No, it's the first prime p such that log10(2p-1) > 99,999,999.[/pedant]
You didn't see my [lazy shorthand][/lazy shorthand]?

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