Got guts?

  • Thread starter anil
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  • #1
anil
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A prime number is a positive ineger greater than 2 whose only integer divisors are itself and 1. A Mersenne prime in of the form 2^(n) - 1 where p is a prime. For example 2^(5) - 1 = 31 is a Mersenne prime. One of the larger Mersenne prime is 2^(216091) - 1. Estimate the number of decimal digits in this number.

Please post your explanation and your answer. No this problem needs no calculus. Got guts[?]
 

Answers and Replies

  • #2
jcsd
Science Advisor
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Okay it's not my job to do your homework, so I will only give you a few pointers:

The -1 is unimortant to your estimate, so ignore that for the minute:

You can then construct this equation:

2^(216091) = 10^x

From here it should be very easy to solve.
 
  • #3
anil
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Kiddo: this is not my HW

This is not my homework. LoL this is a "challenge problem" they give in my college to exercise brain. I got the answer I just want to see my asnwer is right. 72030
 
  • #4
jcsd
Science Advisor
Gold Member
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No your answer is wrong, look at the equation I gave again, you may of made a simple error.
 

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