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Solutions 51 – 100

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By Mike Molony ⋅ January 16, 2011 ⋅ 5 comments

Find the sum of the only set of six 4-digit figurate numbers with a cyclic property.

By Mike Molony ⋅ April 3, 2009 ⋅ Post a comment

Find the smallest cube for which exactly five permutations of its digits are cube.

By Mike Molony ⋅ March 30, 2009 ⋅ Post a comment

Count how many n-digit positive integers exist which are also an nth power.

By Mike Molony ⋅ January 23, 2011 ⋅ Post a comment

Find the continued fractions for N ≤ 10000 have an odd period.

By Mike Molony ⋅ April 10, 2009 ⋅ Post a comment

Find the sum of digits in the numerator of the 100th convergent of the continued fraction for e.

By Mike Molony ⋅ January 22, 2011 ⋅ 6 comments

Investigate the Diophantine equation x² − Dy² = 1.

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

Find the maximum total from top to bottom in a large triangle of numbers using an efficient algorithm.

By Mike Molony ⋅ June 10, 2009 ⋅ Post a comment

Find the maximum 16-digit string for a “magic” 5-gon ring.

By Mike Molony ⋅ April 4, 2009 ⋅ One comment

Find the value of n ≤ 1,000,000 for which n/φ(n) is a maximum.

By Mike Molony ⋅ April 13, 2009 ⋅ 12 comments

Investigate values of n for which φ(n) is a permutation of n.

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