SOLUTION: The number 2^3217-1 is a very large prime. Find how many digits it would take to write the number in decimal form. (Hint: log 2 is an interesting irrational number. It’s the powe

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The number 2^3217-1 is a very large prime. Find how many digits it would take to write the number in decimal form. (Hint: log 2 is an interesting irrational number. It’s the powe      Log On


   



Question 1133963: The number 2^3217-1 is a very large prime. Find how many digits it would take to write the number in decimal form. (Hint: log 2 is an interesting irrational number. It’s the power of 10 that gives 2, in the same way that 3 is the power of 10 that gives 1000. Your calculator can calculate log 2.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The number 2^3217-1 is a very large prime.
Find how many digits it would take to write the number in decimal form.
(Hint: log 2 is an interesting irrational number.
It’s the power of 10 that gives 2, in the same way that 3 is the power of 10 that gives 1000.
Your calculator can calculate log 2.
:
Can you do this then: 3217*log(2) = 968.4135, plus 1:
969 digits in the solution to 2%5E3217 - 1