Dreamshire

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Solutions 10 – 50

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Find the sum of the digits in 100!

By Mike Molony ⋅ April 9, 2009 ⋅ 2 comments

Evaluate the sum of all amicable pairs under 10,000.

By Mike Molony ⋅ April 9, 2009 ⋅ Post a comment

Calculate the total of all the name scores in the file of first names.

By Mike Molony ⋅ April 9, 2009 ⋅ 11 comments

Find the sum of all the positive integers which cannot be written as the sum of two abundant numbers.

What is the millionth lexicographic permutation of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9?

By Mike Molony ⋅ April 10, 2009 ⋅ One comment

Find the first term in the Fibonacci sequence to contain 1000 digits.

By Mike Molony ⋅ April 30, 2009 ⋅ 6 comments

Find the value of d < 1000 for which 1/d contains the longest recurring cycle.

Find a quadratic formula that produces the maximum number of primes for consecutive values of n.

By Mike Molony ⋅ May 2, 2009 ⋅ One comment

Find the sum of both diagonals in a square spiral.

By Mike Molony ⋅ April 7, 2009 ⋅ 2 comments

Find the distinct terms in the sequence generated by a**b for 2 ≤ a ≤ 100 and 2 ≤ b ≤ 100?

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