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. For a given value of N: if you add up the first N decimals of pi (excluding the initial 3), the sum is 666 (not to imply that pi is at all satanic). What is the value of N?




3. If you were writing a computer program with the intention of breaking the world record for calculating the most digits of pi, why would it be foolish for you to use the well-known formula pi/4 = 1 - 1/3 + 1/5 - 1/7 + ...?




4. What is the value of e^(i*pi)?




5. What is the volume of a sphere (3-dimensional, not a hypersphere) [r = radius]?





eve@eveandersson.com