C1 - Revision history

en>Cornellier: /* Sports */ change C1 to sprint canoe

2014-05-17T23:36:34Z

Sports: change C1 to sprint canoe

en>John of Reading: Typo/general fixing, replaced: a 1847 → an 1847 (2) using AWB

2014-01-11T12:22:13Z

Typo/general fixing, replaced: a 1847 → an 1847 (2) using AWB

← Older revision		Revision as of 14:22, 11 January 2014
Line 1:		Line 1:
	~~Today I am sharing~~ a ~~dark experience with we because I am out~~ of ~~this darkness now~~. ~~Whoa! Google Chrome has crashed was~~ the ~~disaster which struck on me early this morning. My blood flow seemed~~ to ~~stop for a limited minutes~~. ~~Next I regained my senses and decided to fix Chrome crash.<br><br>You usually discover that there are registry products which are free and those which you will have to pay a nominal~~ sum ~~for. Some registry cleaners offer a bare bones program for free with~~ the ~~option~~ of ~~upgrading~~ to a ~~more advanced~~, ~~effective version~~ of the ~~same system~~.~~<br><br>Over time a disk could additionally receive fragmented. Fragmentation causes a computer~~ to ~~slow down considering it takes windows much longer to locate a files place. Fortunately~~, ~~your PC~~ has a ~~built in disk defragmenter~~. ~~You can run this system~~ by ~~clicking "Start"~~ - ~~"All Programs"~~ - ~~"Accessories" - "System Tools" - "Disk Defragmenter"~~. ~~We will now have the choice to choose~~ that ~~forces or partition you need to defragment~~. ~~This action may take you several time so it really~~ is ~~advised to do this regularly so because to avoid further fragmentation plus to accelerate your windows XP computer.<br><br>In order to remove~~ the ~~programs on a computer~~, ~~Windows Installer must~~ be in a ~~healthy state~~. ~~If its installation is corrupted we may receive error 1721 in Windows 7~~, ~~Vista plus XP during the system removal process. Just re~~-~~registering its component files would solve the problem.~~<br><br>~~The~~ [http://~~bestregistrycleanerfix~~.~~com~~/~~tune-up-utilities tuneup utilities~~] could come as standard with a back up plus restore facility. This must be an effortless to apply process.That signifies which in the event you encounter a problem with your PC after utilizing a registry cleaning you can simply restore your settings.<br>~~<br>Although I always utilize~~ the ~~latest version~~ of ~~browser, sometimes different extensions and plugins become~~ the ~~cause~~ of ~~mistakes with my browser plus the system. The same is the story with my browser that was crashing frequently possibly due to the Flash player error.~~<br><br>~~Maybe we are asking why these windows XP error messages appear~~. ~~Well, for you to be able to know the fix~~, ~~we must first recognize where those errors come from. There~~ is ~~this software called registry. A registry is software that stores everything on your PC from~~ a ~~general configuration~~, ~~setting~~, ~~info, and logs of escapades from installing to UN-installing, saving to deleting, and a lot more alterations we do inside a program pass from it and gets~~ '~~tagged~~' ~~plus saved as a simple file for healing reasons. Imagine it because a big recorder, a registrar,~~ of ~~all your records in~~ the ~~PC.<br><br>Another important program you~~'~~ll need to get~~ is ~~a registry cleaner~~. ~~The registry is a big list of everything installed on the computer, plus Windows references it when it opens a system or uses a device attached to the computer~~. ~~When you delete a system~~, ~~its registry entry must also be deleted~~, ~~however~~, ~~sometimes it's not~~. ~~A registry cleaner will do away with these old entries thus Windows may search the registry quicker. It additionally deletes~~ or ~~corrects any entries that viruses have corrupted.~~		{{unsolved\|mathematics\|Are there any odd Untouchable numbers other than 5?}}
			An '''untouchable number''' is a positive [[integer]] that cannot be expressed as the [[sum]] of all the [[proper divisor]]s of any positive integer (including the untouchable number itself).

			For example, the number 4 is not untouchable as it is equal to the sum of the proper divisors of 9: 1 + 3 = 4. The number 5 is untouchable as it is not the sum of the proper divisors of any positive integer: 5 = 1 + 4 is the only way to write 5 as the sum of distinct positive integers including 1, but if 4 divides a number, 2 does also, so 1 + 4 cannot be the sum of all of any number's proper divisors (since the list of factors would have to contain both 4 and 2).

			The first few untouchable numbers are:

			:[[2 (number)\|2]], [[5 (number)\|5]], [[52 (number)\|52]], [[88 (number)\|88]], [[96 (number)\|96]], [[120 (number)\|120]], [[124 (number)\|124]], [[146 (number)\|146]], [[162 (number)\|162]], [[188 (number)\|188]], 206, [[210 (number)\|210]], [[216 (number)\|216]], 238, 246, 248, 262, 268, [[276 (number)\|276]], 288, [[290 (number)\|290]], … {{OEIS\|id=A005114}}

			The number 5 is believed to be the only odd untouchable number, but this has not been proven: it would follow from a slightly stronger version of the [[Goldbach conjecture]].<ref>The stronger version is obtained by adding to the Goldbach conjecture the further requirement that the two primes be distinct - see {{MathWorld\|urlname=UntouchableNumber\|title=Untouchable Number\|author=Adams-Watters, Frank and Weisstein, Eric W.}}</ref> Thus it appears that besides 2 and 5, all untouchable numbers are [[composite number]]s. No [[perfect number]] is untouchable, since, at the very least, it can be expressed as the sum of its own proper [[divisor]]s.

			There are infinitely many untouchable numbers, a fact that was proven by [[Paul Erdős]].<ref>P. Erdos, Über die Zahlen der Form <math>\sigma(n)-n</math> und <math>n-\phi(n)</math>. Elemente der Math. 28 (1973), 83-86, [http://planetmath.org/encyclopedia/UntouchableNumber.html]</ref>

			No untouchable number is one more than a [[prime number]], since if ''p'' is prime, then the sum of the proper divisors of ''p''<sup>2</sup> is ''p'' + 1. Also, no untouchable number is three more than a prime number, except 5, since if ''p'' is prime (except two) then the sum of the proper divisors of ''2p'' is ''p'' + 3.

			==See also==
			* [[Weird number]]

			== References ==
			{{reflist}}
			* [[Richard K. Guy]], ''Unsolved Problems in Number Theory'' (3rd ed), [[Springer Verlag]], 2004 ISBN 0-387-20860-7; section B10.

			== External links ==
			*{{SloanesRef \|sequencenumber=A070015 \|name=Least m such that sum of aliquot parts of m equals n or 0 if no such number exists}}


			{{Divisor classes}}

			[[Category:Divisor function]]
			[[Category:Integer sequences]]

en>ClueBot NG: Reverting possible vandalism by 121.75.121.228 to version by BD2412. False positive? Report it. Thanks, ClueBot NG. (1174630) (Bot)

2012-08-18T19:00:08Z

Reverting possible vandalism by 121.75.121.228 to version by BD2412. False positive? Report it. Thanks, ClueBot NG. (1174630) (Bot)

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Today I am sharing a dark experience with we because I am out of this darkness now. Whoa! Google Chrome has crashed was the disaster which struck on me early this morning. My blood flow seemed to stop for a limited minutes. Next I regained my senses and decided to fix Chrome crash. You usually discover that there are registry products which are free and those which you will have to pay a nominal sum for. Some registry cleaners offer a bare bones program for free with the option of upgrading to a more advanced, effective version of the same system. Over time a disk could additionally receive fragmented. Fragmentation causes a computer to slow down considering it takes windows much longer to locate a files place. Fortunately, your PC has a built in disk defragmenter. You can run this system by clicking "Start" - "All Programs" - "Accessories" - "System Tools" - "Disk Defragmenter". We will now have the choice to choose that forces or partition you need to defragment. This action may take you several time so it really is advised to do this regularly so because to avoid further fragmentation plus to accelerate your windows XP computer. In order to remove the programs on a computer, Windows Installer must be in a healthy state. If its installation is corrupted we may receive error 1721 in Windows 7, Vista plus XP during the system removal process. Just re-registering its component files would solve the problem. The [http://bestregistrycleanerfix.com/tune-up-utilities tuneup utilities] could come as standard with a back up plus restore facility. This must be an effortless to apply process.That signifies which in the event you encounter a problem with your PC after utilizing a registry cleaning you can simply restore your settings. Although I always utilize the latest version of browser, sometimes different extensions and plugins become the cause of mistakes with my browser plus the system. The same is the story with my browser that was crashing frequently possibly due to the Flash player error. Maybe we are asking why these windows XP error messages appear. Well, for you to be able to know the fix, we must first recognize where those errors come from. There is this software called registry. A registry is software that stores everything on your PC from a general configuration, setting, info, and logs of escapades from installing to UN-installing, saving to deleting, and a lot more alterations we do inside a program pass from it and gets 'tagged' plus saved as a simple file for healing reasons. Imagine it because a big recorder, a registrar, of all your records in the PC. Another important program you'll need to get is a registry cleaner. The registry is a big list of everything installed on the computer, plus Windows references it when it opens a system or uses a device attached to the computer. When you delete a system, its registry entry must also be deleted, however, sometimes it's not. A registry cleaner will do away with these old entries thus Windows may search the registry quicker. It additionally deletes or corrects any entries that viruses have corrupted.