Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

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Digitperfect Numbers!!I found some numbers that are really interesting! Last edited by wcy (20120114 17:28:33) #3 20050805 00:30:42
Re: Digitperfect Numbers!!I don't know if these two count because the power isn't the number of digits, but 4150= 4^5+1^5+5^5+0^5 and 4151= 4^5+1^5+5^5+1^5 Last edited by mathsyperson (20050805 00:46:17) Why did the vector cross the road? It wanted to be normal. #4 20050805 08:58:23
Re: Digitperfect Numbers!!mathsy! How did you do it! "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #5 20050805 14:17:43
Re: Digitperfect Numbers!!Superlative work, Mathsy Character is who you are when no one is looking. #6 20050805 18:01:56
Re: Digitperfect Numbers!!Sorry to disappoint everyone, but I kind of cheated... Why did the vector cross the road? It wanted to be normal. #7 20050805 18:05:36
Re: Digitperfect Numbers!!Where did you cheat? I can see the website, but not your answers... #8 20050805 18:06:47
Re: Digitperfect Numbers!!CHEATING!!!! Friends are angels who lift our feet when our own wings have trouble remembering how to fly #9 20050805 18:10:13
Re: Digitperfect Numbers!!Scroll down to just below halfway and they're in a big black box. Why did the vector cross the road? It wanted to be normal. #10 20050805 18:11:39
Re: Digitperfect Numbers!!Oh right. I see. Tut tut, Mathsy. You shouldn't have told us... #11 20050805 18:46:53
Re: Digitperfect Numbers!!Bad boy!! Friends are angels who lift our feet when our own wings have trouble remembering how to fly #12 20050805 20:09:38
Re: Digitperfect Numbers!!Ummm ... mathsy was not cheating when he tells us, right? "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #13 20050805 21:25:39
Re: Digitperfect Numbers!!wow this is cool!! Last edited by wcy (20050805 21:26:14) #14 20050805 21:54:13
Re: Digitperfect Numbers!!For a computerbased solution you may be better off using a faster language like C, Java or .Net. But before that, there may be some tricks to speed it up  for example, there may be whole ranges that can be excluded from the search. (But I didn't look at your code, so maybe you are already doing that.) "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #15 20050805 21:58:09
Re: Digitperfect Numbers!!That is, it is to be proved that Character is who you are when no one is looking. #16 20050805 22:58:29
Re: Digitperfect Numbers!!I think that as there is no answer for n=2, there are probably other values of n for which there are no answers. For this reason, I think it would be better to prove by counterexample. Of course, we'll need 10^n counterexamples, but it's still easier than proving something that's not true. Why did the vector cross the road? It wanted to be normal. 