The Pi Trivia Game

by Eve Andersson

     

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Finally this is your chance to pay tribute to the magnificent transcendental number that we have all grown to love! Here are 25 questions (given to you 5 at a time), picked randomly from my pi question database. Get ready for the thrill of your lifetime, the ultimate challenge, The Pi Trivia Game!

1. Consider the following series of natural numbers, constructed by taking successively larger strings of digits from the beginning of the decimal expansion of the number pi:
3, 31, 314, 3141, 31415, 314159, 3141592, etc.
Out of the first 1000 numbers in this series, how many are primes? (for example, the first two numbers, 3 and 31, are both primes)




2. One way to approximate the value of pi is to have a computer pick two random numbers, x and y, each between -1 and 1. If it does so N times, and if, for M of those times x^2 + y^2 < 1, then pi is approximately equal to 4*M/N (presumably becoming more accurate as N increases). This method of approximation is an example of:




3. One of the best-known series representations of pi is the Gregory-Liebniz formula, which is:




4. What 1768 proof about pi is the German mathematician Johann Lambert famous for?




5. Are pi's digits periodic?





eve@eveandersson.com