Think Simple!

Algebra Level 4

Given 100 100 reals a1,a2,,a100 a_{1}, a_{2},\ldots , a_{100} such that i=1100ai16=232\displaystyle \sum ^{100}_{i=1}a^{16}_{i} = 2^{32}, we have maximum value of i=1100ai17\displaystyle \sum ^{100}_{i=1}a^{17}_{i} to be of the form ak a^{k} , where a a is a prime and k k is a positive integer. Find (a+k) (a+k) .

×

Problem Loading...

Note Loading...

Set Loading...