perplexus.info :: Numbers : A 2006 Problem

A 2006 Problem (Posted on 2006-07-27)

Determine the remainder when 61²⁰⁰⁶ is divided by 2006.

Can you do this in a short time using pen and paper, and eventually a hand calculator, but no computer programs?

See The Solution Submitted by K Sengupta

Rating: 3.3333 (3 votes)

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A solution

| Comment 3 of 8 |

As I don't know of many short-cuts with working with large numbers, I will settle with using a calculator....

MOD(61²⁰⁰⁶) = 145

(I did not actually use a hand calculator. I used the BigNumber Calculator Applet located at http://www.theworld.com/~reinhold/BigNumCalc.html )

Posted by Dej Mar on 2006-07-27 17:36:48

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