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*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[?]