MathDB

A3 / B5

Part of 2011 Princeton University Math Competition

Problems(2)

2011 PUMaC Combinatorics A3 / B5

Source:

9/24/2019
Two points are chosen uniformly at random on the sides of a square with side length 1. If pp is the probability that the distance between them is greater than 11, what is ⌊100p⌋\lfloor 100p \rfloor? (Note: ⌊x⌋\lfloor x \rfloor denotes the greatest integer less than or equal to xx.)
combinatorics
2011 PUMaC Number Theory A3 / B5

Source:

9/24/2019
What is the sum of all primes pp such that 7p−6p+27^p - 6^p + 2 is divisible by 43?
number theory