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The Unknown Digits (Posted on 2006-04-18) Difficulty: 4 of 5
Determine the last six digits of the decimal number given by 7^(3^3002).

See The Solution Submitted by K Sengupta    
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Hints/Tips Binomial Theorem Comment 2 of 2 |

This problem can also be solved by application of Binomial Theorem and basic mod arithmetic.<o:p></o:p>

Hint: Start by expanding  7^5000 in terms of Binomial theorem.<o:p></o:p>

        <o:p></o:p>


  Posted by K Sengupta on 2006-05-03 12:27:14
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