Dreamshire

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Solutions 1 – 9

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By Mike Molony ⋅ May 17, 2009 ⋅ One comment

Find the sum of all the natural numbers that are multiples of 3 or 5 using the inclusion-exclusion principal.

By Mike Molony ⋅ May 17, 2009 ⋅ 2 comments

Find the sum of all the even-valued terms in the Fibonacci sequence which do not exceed 4 million.

Find the largest prime factor of a composite number.

By Mike Molony ⋅ May 17, 2009 ⋅ 2 comments

Find the largest palindrome made from the product of two 3-digit numbers.

By Mike Molony ⋅ May 18, 2009 ⋅ 5 comments

Find the smallest number divisible by each of the numbers 1 to 20.

By Mike Molony ⋅ May 17, 2009 ⋅ One comment

Find the difference between the sum of the squares and the square of the sum.

By Mike Molony ⋅ May 12, 2009 ⋅ One comment

Find the 10001st prime.

Discover the largest product of thirteen consecutive digits in the 1000-digit number.

By Mike Molony ⋅ May 9, 2009 ⋅ 2 comments

Find the only Pythagorean triplet, {a, b, c}, for which a + b + c = 1000.

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