Showing what's behind the curtain

Prime Subset Sums

250250

Determining the value of infinite polynomial series for which the coefficients are Fibonacci numbers.

Calculating the digital sum of the decimal digits of irrational square roots.

Investigate the Diophantine equation *x*^{2} − D*y*^{2} = 1.

Investigating which primes will never divide a repunit containing 10**n digits.

Which base/exponent pair in the file has the greatest numerical value?

Compose Champernowne’s constant

Investigate the game of chance involving coloured discs.

Find the sum of the digits in 100!