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

You are not logged in. #1 20071112 23:35:33
what is the last digit?what is the last digit of 3^555555? http://gyan.talkacademy.com.np #2 20071112 23:39:11
Re: what is the last digit?Try the first few powers of 3, find the pattern, and prove it. Then take 55555 modulo the size of this pattern. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #3 20130616 02:17:52
Re: what is the last digit?Hi gyanshrestha; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #4 20130616 02:43:28
Re: what is the last digit?And the first one is a 1. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #5 20130616 02:47:31
Re: what is the last digit?Hoooo, that is a good one. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #6 20130616 03:19:27
Re: what is the last digit?How could you say that its 1? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #8 20130616 03:34:15
Re: what is the last digit?Hmm.... 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #9 20130616 03:43:00
Re: what is the last digit?Very much so. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #10 20130616 03:46:18
Re: what is the last digit?and with paper and pencil and my brain? 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #11 20130616 03:52:14
Re: what is the last digit?Some problems are not for your brain. Would you calculate √ 2 to 1000 digits with pencil and paper even though theoretically you could. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #12 20130616 08:20:32
Re: what is the last digit?I used bobbym's method from another thread. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #13 20130616 11:38:27
Re: what is the last digit?I was wondering if there's a shortcut 'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.' 'God exists because Mathematics is consistent, and the devil exists because we cannot prove it' 'Who are you to judge everything?' Alokananda #14 20130616 13:19:55
Re: what is the last digit?
And the middle two digits of the evenlength answer are {9,0}. "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #15 20130616 13:34:34
Re: what is the last digit?
The front digit is a strange beast. Because of carries it sort of depends on all the others!
Okay, what is 12345567890987654321! Just the first 50 digits will do! In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #16 20130616 13:39:58
Re: what is the last digit?As far as I know (after having done just one test like this), my example is unique and doesn't extend to other sums. "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #17 20130616 13:45:22
Re: what is the last digit?You mean of the type In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #18 20130616 20:04:01
Re: what is the last digit?
Nearly. It is y^(xxxxxx). x and y are singledigit integers >0, and y may = x. Last edited by phrontister (20130618 10:13:44) "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #19 20130616 20:06:01
Re: what is the last digit?How many have you looked at? In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #20 20130616 20:22:51
Re: what is the last digit?No others. "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson #21 20130616 20:39:23
Re: what is the last digit?Hi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #23 20130616 21:55:36
Re: what is the last digit?The last digit can be done by mods. The first digit is usually just raw computation except in specific cases. The middle digits are like the first digit. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #24 20130616 22:16:14
Re: what is the last digit?
There are no such numbers besides x=5 and y=3. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #25 20130617 00:33:31
Re: what is the last digit?Hi stefy, Last edited by phrontister (20130618 10:12:15) "The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do."  Ted Nelson 