Mike Molony, Author at Dreamshire

By Mike Molony ⋅ August 16, 2014 ⋅ 2 comments

Find the maximum remainder when (p − 1)ⁿ + (p + 1)ⁿ is divided by p² for prime p.

By Mike Molony ⋅ August 26, 2014 ⋅ One comment

Find the 2000th hexagonal tile in which the differences between it and its 6 neighbors yield 3 primes.

By Mike Molony ⋅ July 22, 2014 ⋅ Post a comment

Find how many Pythagorean triangles allow tiling with a perimeter < 100,000,000.

By Mike Molony ⋅ July 15, 2014 ⋅ Post a comment

The prime factorisation of binomial coefficients

By Mike Molony ⋅ March 22, 2015 ⋅ 3 comments

Find the number of factors in an enormous factorial.

By Mike Molony ⋅ September 2, 2014 ⋅ Post a comment

Find a minimum path sum in a matrix from the top left to the bottom right corners by moving up, down, left or right.

By Mike Molony ⋅ September 16, 2014 ⋅ 3 comments

Find a set of terms that produce longest set of consecutive digits

By Mike Molony ⋅ August 18, 2014 ⋅ 6 comments

Find the sum of the perimeters of all almost equilateral triangles with integral side lengths and area.

By Mike Molony ⋅ September 18, 2014 ⋅ Post a comment

Find the smallest member of the longest amicable chain

By Mike Molony ⋅ September 15, 2014 ⋅ Post a comment

Find the largest square number formed by pairs of encoded anagrams.

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