Find the last ten digits of 1^1 + 2^2 + … + 1000^1000.
Find arithmetic sequences, made of prime terms, whose four digits are permutations of each other.
Find the prime number, below one-million, that can be written as the sum of the most consecutive primes.
Find the smallest prime which, by replacing part of the number with the same digit, is part of an eight prime value set.
Find the smallest positive integer, x, such that 2x, 3x, 4x, 5x, and 6x, contain the same digits in some order.
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.