Problem Eight: 1 to 12
Oct 26th, 2006 by Allen
The numbers 182 and 322 can be expressed as the sum of product pairs chosen from the numbers 1 to 12.
182 = 1×12 + 2×11 + 3×10 + 4×9 + 5×8 + 6×7
322 = 1×2 + 3×4 + 5×6 + 7×8 + 9×10 + 11×12
Can the numbers 180, 217, 299, 400 be written the same way?
I made a program to figure this out, but then I realized that
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