Investigating the number of ways in which coins can be separated into piles.
Find the minimal path sum from the top left to the bottom right by moving right and down.
Investigate values of n for which φ(n) is a permutation of n.
Which prime, below one-million, can be written as the sum of the most consecutive primes?
Investigate the expansion of the continued fraction for the square root of two.
How many values of C(n,r), for 1 ≤ n ≤ 100, exceed one-million?
Counting the number of “hollow” square laminae that can form one, two, three, … distinct arrangements.
Using up to one million tiles how many different “hollow” square laminae can be formed?
After 40755, what is the next triangle number that is also pentagonal and hexagonal?
Find the smallest positive integer, x, such that 2x, 3x, 4x, 5x, and 6x, contain the same digits in some order.