Torn Numbers

September 16, 2014

In 1917, Henry Ernest Dudeney published a book Amusements in Mathematics of arithmetic puzzles. Today’s exercise solves puzzle 113 from that book:

A number n is a torn number if it can be chopped into two parts which, when added together and squared, are equal to the original number. For instance, 88209 is a torn number because (88 + 209)2 = 2972 = 88209.

Your task is to write a program to find torn numbers. When you are finished, you are welcome to read or run a suggested solution, or to post your own solution or discuss the exercise in the comments below.

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