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Power Division (Posted on 2011-04-19) Difficulty: 3 of 5
Given that n is a positive integer, determine the remainder (in terms of n) whenever 3^(2^n) 1 is divided by 2^(n+3)

Note: (a)^b implies 'a' raised to the power of 'b', ((a)^b)^c implies 'a' raised to the power 'bc', but a^(b^c) implies 'a' raised to the power 'b' raised to the power 'c'

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

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re: Power Division Comment 2 of 2 |

To calculate the remainder, divide the numerator by the denominator and multiply the decimal component of the result by the denominator:

For n=1 to 5 the remainders are:


Each of those remainders fits the expression 2^(n+2)

Edited on April 20, 2011, 1:58 pm
  Posted by Ben Gornall on 2011-04-20 13:50:50

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