document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #751292 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The number 2^3217-1 is a very large prime.
\n" ); document.write( " Find how many digits it would take to write the number in decimal form.
\n" ); document.write( " (Hint: log 2 is an interesting irrational number.
\n" ); document.write( " It’s the power of 10 that gives 2, in the same way that 3 is the power of 10 that gives 1000.
\n" ); document.write( " Your calculator can calculate log 2.
\n" ); document.write( ":
\n" ); document.write( "Can you do this then: 3217*log(2) = 968.4135, plus 1:
\n" ); document.write( "969 digits in the solution to $\"2%5E3217\"$ - 1 \n" ); document.write( "

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