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Problem #59

Ones and Zeros

Let S = 2^a + 2^b + 2^c + 2^d + 2^e where a,b,c,d,e are distinct whole numbers.

Let S_{n} be the n^{th} number such that for all i \lt n, S_{i} \lt S_{n} and for i \gt n, S_{i}\gt S_{n}.

Find S_{2131646} \mod 10^{9}+7.

Contributed by Vaibhav Daga

Solved by 63 users

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