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Problem Of The Week 22

with 4 comments

Find the sum of all prime numbers below 100 which divide 3^32-2^32?

A)110          B)  115                   C)127                    D) 132 E) None of these


Written by Implex

September 22, 2008 at 10:31 pm

4 Responses

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  1. Found that 5,17,13 and 97 are factors so 132. Used the options to an extent. Still not sure if there are any more!

    Celebrating Life

    September 23, 2008 at 1:24 pm

  2. yupp hit the spot ..
    but easier methoda hai than options 🙂


    September 23, 2008 at 4:43 pm

  3. solution to this one please !!


    September 25, 2008 at 2:37 pm

  4. 3^32-2^32=(3+2)(3^2+2^2)(3^4+2^4)(3^8+2^8)(3^16+2^16)
    first thre give 3 primes 5,97,13
    now check option
    option D is 132-(5+97+13)=17
    17 divides (3^8+2^8)
    we are done here!


    September 25, 2008 at 3:05 pm

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