When discussing the Fibonacci-based puzzle two weeks ago (found here) one of my geeky dad friends and I were on opposite sides of an argument: I thought that more consecutive digits of pi would appear in one of the first 1,000 Fibonacci numbers, where they thought that more consecutive digits of e would appear in one of the first 1,000 Fibonacci numbers.
This week’s GeekDad Puzzle of the Week is for you to be a third party, and help us by providing a solution to our debate. That is, I am requesting that you provide “transcendental mediation” to our issue. (Insert drum snare here.) If there are ties in the data (i.e., both F81 and F101 contain “314”) please list the earliest / lowest instance for a given size. Be sure to start at the beginning of each transcendental, i.e., 314 and 271, and use only the digits found (i.e., don’t round up to 272.)
For reference, please use the definitions of Fibonacci numbers found in the March 5, 2012, Puzzle of the Week. I did mention in that puzzle that you should keep any relevant code that you may write, as it might be useful later, right?