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Lucas Digits Look (Posted on 2016-11-07) Difficulty: 3 of 5
L(N) denotes the Nth Lucas Number.

Find the first three digits of L(2016)

No Solution Yet Submitted by K Sengupta    
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Indirect computation | Comment 2 of 10 |
gives a nifty formula

for n>=2 where phi is the golden ratio and [x] denotes the nearest integer function.

Raising the golden ratio to the 2106 power is too large for my calculator, but its common logarithm isn't.


Raising 10 to this power allows us to write in scientific notation:


So the answer is 208

Edited on November 7, 2016, 9:28 am
  Posted by Jer on 2016-11-07 09:25:13

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