Dreamshire

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Large Integers

This tag is associated with 32 posts

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

Rooms of Doom

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 15, 2014 ⋅ Post a comment

The prime factorisation of binomial coefficients

Powers With Trailing Digits

By Mike Molony ⋅ April 20, 2009 ⋅ 2 comments

Find the sum of the distinct square-free numbers in the first 51 rows of Pascal’s triangle.

By Mike Molony ⋅ April 9, 2009 ⋅ 8 comments

Find the unique positive integer for a concealed square.

By Mike Molony ⋅ December 19, 2012 ⋅ Post a comment

Prime Subset Sums

By Mike Molony ⋅ December 18, 2012 ⋅ Post a comment

Find the number of non-empty subsets of {1¹, 2², 3³,…, 250250²⁵⁰²⁵⁰}, the sum of whose elements is divisible by 250.

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

By Mike Molony ⋅ June 16, 2009 ⋅ 4 comments

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

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