Showing what's behind the curtain

Odd triplets in Pascal’s triangle.

Find fractions that cannot be cancelled down (resilient fraction).

Prime Subset Sums

Find the number of non-empty subsets of {1^{1}, 2^{2}, 3^{3},…, 250250^{250250}}, the sum of whose elements is divisible by 250.

Euclid’s simple formula to generate Pythagorean triples.

Solve Krypto math problems

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

Investigating isosceles triangle for which the height and base length differ by one.

Finding the maximum remainder when (a − 1)^{n} + (a + 1)^{n} is divided by a^{2}.

Find the number of consecutive integers pairs that have the same number of positive divisors.