The Pi Trivia Game

by Eve Andersson

     

Home : Pi : The Pi Trivia Game


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. Who, in 1706, first gave the Greek letter "pi" its current mathematical definition?




3. Simon Plouffe has recently derived an algorithm for calculating pi in hexadecimal. Remarkably, this formula allows one to calculate the nth decimal of pi without calculating the previous digits. Incidentally, Plouffe was listed in the 1975 Guinness Book of World Records. For which of the following accomplishments was he listed?




4. In 1949, a digital computer was first used to calculate pi. To how many decimal places was this computer, ENIAC (Electronic Numerical Intergrator and Computer), able to find pi (it took 70 hours)?




5. One way to calculate the value of pi is to find the perimeter of polygons inscribing and circumscribing a circle. The circumference of the circle lies in between those two values, and the values approach pi as the number of sides of the polygon approaches infinity. Who originated this method of pi approximation?





eve@eveandersson.com