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.

(-1+k) ²⁰¹⁷  < 0.5  ²⁰¹⁷  < 0.5  ^{2000 <} 0.1  ⁵⁰⁰

Therefore 144-th digit is 0

Posted by chun on 2017-08-14 08:06:48