Count the values of C(n,r), for 1 ≤ n ≤ 100, that exceed one-million.
Compare hands in a game of poker and determine a winner
Find how many Lychrel numbers are there below ten-thousand.
Considering natural numbers of the form, a^b, find the maximum digital sum.
Investigate the expansion of the continued fraction for the square root of two.
Counting primes that lie on the diagonals of the spiral grid.
Using a brute force attack, decrypt the cipher using XOR encryption
Find a set of five primes for which any two primes concatenate to produce another prime.
Find the sum of the only set of six 4-digit figurate numbers with a cyclic property.
Find the smallest cube for which exactly five permutations of its digits are cube.