Brown Numbers - Numberphile
More links & stuff in full description below ↓↓↓ There are only three pairs of Brown Numbers - and only five of the numbers themselves (because 5 is ...
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PROFESSOR ED COPELAND: I know that from looking at Numberphiles how many of the viewer comment all the time about the brown paper that you use. So I thought it'd be appropriate to introduce the Brown numbers. This is short but sweet. And I think it could be a challenge for the mathematically inclined Numberphile viewers. It's really straightforward. Brown numbers are a pair of numbers, a pair of integers-- let's call them m and n. But they have a very special property. Their property is the following-- that n factorial plus 1 must equal m squared. Let me just remind you what a n factorial is. For example, 5 factorial is 1 times 2 times 3 times 4 times 5. So n factorial is just doing that up to the integer n. OK, so that's it. That defines my Brown number. It'...
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PROFESSOR ED COPELAND: I know that from looking at Numberphiles how many of the viewer comment all the time about the brown paper that you use. So I thought it'd be appropriate to introduce the Brown numbers. This is short but sweet. And I think it could be a challenge for the mathematically inclined Numberphile viewers. It's really straightforward. Brown numbers are a pair of numbers, a pair of integers-- let's call them m and n. But they have a very special property. Their property is the following-- that n factorial plus 1 must equal m squared. Let me just remind you what a n factorial is. For example, 5 factorial is 1 times 2 times 3 times 4 times 5. So n factorial is just doing that up to the integer n. OK, so that's it. That defines my Brown number. It'...
