Pi (π)is a fantastic number! As you likely know, it is the ratio of a circle’s circumference to its diameter. It is a mathematical constant used it countless equations and calculations. It is an irrational number, meaning that it does not end, does not repeat, and cannot be described as a fraction involving two integers. Memorizing pi is a quest of many, some having memorized tens of thousands of digits. Though there are many other irrational mathematical constants (e.g. Euler's number e, Pythagoras' constant √2, the golden ratio φ, the Euler–Mascheroni constant γ, etc.), none has the clout of π. There is no e Day or φ Day or even √2 Day. But there is π Day! A day to celebrate Pi and eat pie!
You probably know the first few digits of pi – 3.14. Do you know the next few? – 3.14159? How about even further out? Here is a little quiz to help you find out some lesser known facts about pi!
All questions below reference the first million digits of pi. This means digits AFTER the decimal point. Given pi as 3.14159, 9 would be the 5th digit of pi. When the question asks for the position number for a multi-digit number, it is asking for the position of the beginning of that number. For example, if the question asked for the position of the first instance of 59 in pi, the answer would be 4.
As of 3/14/15, what was the world record for most digits of pi memorized? (A)
What was the last digit that individual had memorized? (B)
What was the next number that (s)he did not have memorized? (C)
Not all numbers 0-9 appear evenly in a given range of pi, though they are fairly close.
Which number 0-9 appears the most? (D)
How many times does it appear? (E)
In what position is its 100,000th appearance? (F)
Which digit appears the least? (G)
How many times does it appear? (H)
What is the first number 0-9 to have six consecutive instances of that number?(I)
In which position does that run start? (J)
What is the 500,000th digit of pi? (K)
3.14159 are the first few digits of pi that are commonly known.
What is the position of the first instance of 314159 in pi after the decimal point? (L)
What is the first instance of seven ascending (not necessarily consecutive) digits? (M)
What is the position number that it begins? (N)
How many digits long is the longest range with a single digit (0-9) missing? (O)
Which is the number missing from that range? (P)
What position does that range start on? (Q)
What is the largest number where all smaller numbers have already appeared somewhere in the value of pi? (R)
What is the 1,000,000th digit of pi? (S)
What is the 1,000,001st digit of pi? (T)
North coords:
A+(B+C)^K*D*G*S-E+F-H*T+J*I-M-L*S+N-Q-802
West Coords
A+O*P*T*K-R*K+337
Happy hunting and happy pie eating!