Moving Eye of Pi
Pi is elusive...no apparent pattern, yet we keep looking for one. Some even look for weird occurances in pi.
Brian Davies, in his Science in the Looking Glass: What Do Scientists Really Know?, wonders if the sequence 0123456789 ever occurs in the decimal expansion of pi. And to his surprise, the sequence occurs beginning at the 17,387,594,880th digit of pi. Check it out if you are a doubter.
Davies then asks if we will ever find a string of one thousand consecutive 7s embedded in pi. His conclusion: "We can estimate how long it would take to find the first occurance"...but this time would be "vastly longer than the age of the universe."
So, time to get started.....