118 (number): Difference between revisions

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==In mathematics==
There is no answer to the equation [[Euler's totient function|φ]](''x'')]] = 118, making 118 a [[nontotient]].<ref>{{cite OEIS|A005277|Nontotients}}</ref>
 
118 is the smallest ''n'' such that the range ''n'', ''n'' + 1, ... 4''n''/3 contains at least one prime from each of these forms: 4''x'' + 1, 4''x'' - 1, 6''x'' + 1 and 6''x'' - 1.
 
Four expressions for 118 as the sum of three positive integers have the same product:
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118 is the smallest number that can be expressed as four sums with the same product in this way.<ref>Wells, D. ''[[The Penguin Dictionary of Curious and Interesting Numbers]]'' London: Penguin Group. (1987): 134 - 135</ref>
 
Because of its expression as {{nowrap|1=118 = 3<sup>5</sup> &minus; 5<sup>3</sup>}}, it is a [[Leyland number#Leyland_number_of_the_second_kind|Leyland number of the second kind]].<ref>{{cite OEIS|A045575|Nonnegative numbers of the form x^y - y^x, for x,y > 1}}</ref>
==In telephony==
* The beginning of [[Directory assistance|directory enquiries]] numbers in the United Kingdom,<ref>[http://www.telecom-tariffs.co.uk/dialdirq.htm List of UK 118 directory enquiry services]</ref> [[France]], [[Germany]], [[Greece]], [[Latvia]], [[118 118 (Sweden)|Sweden]], [[Ireland]], [[Iran]] and [[Türk Telekom|Turkey]]
* The [[Japan Coast Guard|emergency at sea]] [[emergency telephone number]] in [[Japan]]<!-- in case you need a reference: http://tools.ietf.org/html/draft-arai-ecrit-japan-req-00 -->
* The [[fire]] [[emergency telephone number]] in [[Switzerland]]
* The [[medical]] [[emergency telephone number]] in [[Bolivia]] and [[Indonesia]]
* The [[medical]] and [[Alpine distress signal|Alpine rescue]] [[emergency telephone number]] in [[Italy]]
 
118!! - 1 is a [[prime number]], where !! denotes the [[double factorial]] (the product of even integers up to 118).<ref>{{cite OEIS|A007749|Numbers k such that k!! - 1 is prime|access-date=2022-05-24}}</ref>
==In other fields==
'''One hundred and eighteen''' is also:
* [[Oganesson]], an element with atomic number 118
* [[118 (TV series)]], a 255-episode Singaporean television drama airing from 2014 to 2015
 
== In datesother fields ==
* There are 118 known elements on the [[Periodic Table]], the 118th element being [[oganesson]].
*118 can also represent the day January 18. The 118th day of the year is April 28, on regular years. On leap years it is April 27.
 
==See also==
* [[118 (disambiguation)]]
* [[List of highways numbered 118]]
* [[118 118 (disambiguation)|118 118 European directory enquiries]]
* [[118th Street (Manhattan)|118th Street, Manhattan]]
 
==References==
{{Commons category|118 (number)}}
<references/>