Dr. Pepper-
anon for this-
What I should have said is that there are no sequential numbers where a^2 + b^2 = c^2 except 3, 4 and 5.
I read in the news several years ago that someone claimed he had discovered a proof for Fermat’s Last Theorem, but a mistake was uncovered. Then, a couple of years ago, someone else claimed he had discovered it, and mathematicians were very excited and preliminary indications were that he was correct, but it would take months to review and verify. I don’t remember if it was actually verified or disproven. What was the end of that story?
Builders and contractors often use the 3, 4, 5 measurement to ensure something is being built correctly at right angles (measure the sides at 3′ and 4′ from a corner – a straight line between those two points should be 5′). For all newlyweds building bookcases, this is an easy way to confirm that your parallelogram is also a rectangle 🙂
Joseph-
I didn’t divide the final result by 12, because I was misupek if we should count from Tishrei or January (just kidding – I simply forgot).