Let k denote the positive square root of 2.
What is the 144-th digit of (-1+k) ²⁰¹⁷ ?

I found this problem with some other parameters – same level of difficulty !


So, hold your breath, do not rush to omnipotent computer, – use your brains,
an easy trick does it.

Since (sqrt(2)-1)^2017<10^-144, the 144th digit is 0.

Posted by Math Man on 2017-08-14 08:00:14