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The Problem: If you were to write out a number as a word, you could then count the letters and generate a new number.  For example: 1 becomes one which becomes 3.  We use british convention which adds an 'and' between the hundreds and tens place. For example ...

The Problem: Moving through a triangle of number (every number chosen yields 2 more numbers to choose), what is the highest sum path in the triangle? Considerations and Approach: We will populate a tree data structure with the data from the triangle, and th...

The Problem: How many Sundays fell on the first of the month between Jan 1 1901 and Dec 31 2000? Considerations: There is for sure a number theory mathematical way of handling this... but... Approach: What if we just imported a python calendar module and ...

The Problem: What is the sum of the digits of 100! where n! means 1x2x3x4x...xn? Considerations and Approach: For Python this is trivial to produce 100! and then take the sum of the digits by converting to a string and back. The Code: import math ...

The Problem: Let d(n) be defined as the sum of proper divisors of (numbers less than n which divide evenly into n).If d(a) = b and d(b) = a, where a =/= b, then a and b are an amicable pair and each of a and b are called amicable numbers. For example, the pr...

The Problem: Get the total sum of a file of names if each letter in the name is mapped from 1-26 and then multiplied by the position in an alphabetical sort. Considerations and Approach: We read in the file into an array of names. After that it just needs t...

The Problem: A perfect number is a number for which the sum of its proper divisors is exactly equal to the number.  A number is called deficient if the sum of its proper divisors is less than and it is called abundant if this sum exceeds. As 12 is the smalle...

The Problem: What is the millionth lexicographic permutation of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9? Considerations and Approach: Well, this is another problem that Python has a simple built in way... Generating all of the permutations of the number...