Find the last ten digits of 1^1 + 2^2 + … + 1000^1000.
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 Diophantine equation x2 − Dy2 = 1.
Investigating the number of ways in which coins can be separated into piles.
Calculating the sum of the decimal digits of irrational square roots.
Find the last ten digits of the non-Mersenne prime: 28433 × 27830457 + 1.
Find the base/exponent pair in the file has the greatest numerical value
Calculate prime factors for a coimposit integer.
Find the last digits of a tetration calculation.