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{{Infobox number
| number = 163
| factorization=[[prime number|prime]]
| prime=38th
| divisor=1, 163
}}


'''163''' is the [[natural number]] following [[162 (number)|162]] and preceding [[164 (number)|164]].
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==In mathematics==
163 is a [[strong prime]] in the sense that it is greater than the arithmetic mean of its two neighboring primes. 163 is a [[lucky prime]] and a [[fortunate number]].
 
163 is a [[strictly non-palindromic number]]. Given 163, the [[Mertens function]] returns 0.
 
163 figures in an approximation of π, in which <math>\pi \approx {2^9 \over 163} \approx 3.1411</math>.
 
163 figures in an approximation of ''e'', in which <math>e \approx {163 \over 3\cdot4\cdot5} \approx 2.7166\dots</math>.
 
163 is a [[Heegner number]]. That is, the [[ring of integers]] of the field <math>\mathbb{Q}(\sqrt{-a})</math> has [[unique factorization domain|unique factorization]] for <math>a=163</math>. The only other such integers are
<math>a = 1, 2, 3, 7, 11, 19, 43, 67</math>.
 
The [[square root]] of 163 occurs in several interesting pieces of [[mathematics]].
 
The function <math>f(n) = n^2 + n + 41</math> gives prime values for all values of <math>n</math> between 0 and 39, and for <math>n < 10^7</math> approximately half of all values are prime. 163 appears as a result of solving <math>f(n)=0</math>, which gives <math>n = (-1+ \sqrt{-163} ) / 2</math>.
 
<math>\sqrt{163}</math>
appears in the [[Ramanujan constant]], in which <math>e^{\pi \sqrt{163}}</math> almost equals the integer 262537412640768744 = 640320<sup>3</sup> + 744. [[Martin Gardner]] famously asserted that this identity was exact in a 1975 April Fools' hoax in ''[[Scientific American]]''; in fact the value is 262537412640768743.99999999999925007259...
 
==In astronomy==
* [[163 Erigone]] is a dark [[Asteroid belt|Main belt]] [[asteroid]], the namesake of the [[Erigone family]] of asteroids
* [[HD 167042]] is a 6th [[apparent magnitude|magnitude]] [[orange giant|K-type giant]] [[star]] 163 [[light-year]]s away in the [[constellation]] of [[Draco (constellation)|Draco]]
* [[HD 167042 b]] is a [[gas giant]] [[extrasolar planet]] 163 [[light-year]]s  away in the [[constellation]] of [[Draco (constellation)|Draco]], orbiting [[HD 167042]]
 
==In geography==
* [[Cape Lookout Lighthouse]] is a {{convert|163|ft|m|adj=on}} high [[lighthouse]] on the Southern [[Outer Banks]] of [[North Carolina]] in the USA.
* [[Sierra View District Hospital]] is a 163-bed, acute care facility in [[Porterville, California]], USA.
* [[The Mall at 163rd Street]], [[North Miami Beach, Florida]], USA.
* [[Wheatlands No. 163, Saskatchewan]] is a [[rural municipality]] in [[Saskatchewan]], [[Canada]]
* [[Woonasquatucket River Site (RI-163)]] historic site in [[Smithville, Rhode Island]], USA.
* [[Cape Verde]] ranks #163 in world [[List of countries by population|population]]
 
==In the US military==
* [[USNS Parkersburg (T-AO-163)]] was a [[United States Navy]] tanker ship during [[World War II]]
* [[USS Barracuda (SS-163)]] was a [[Diesel-electric transmission|diesel-electric]] [[submarine]] during [[World War II]]
* [[USS Blount (AK-163)]] was a [[United States Navy]] [[Alamosa class cargo ship]] during [[World War II]]
* [[USS Cinnabar (IX-163)]] was a [[United States Navy]] Trefoil class concrete barge during [[World War II]]
* [[USS Concise (AM-163)]] was a [[United States Navy]] [[Admirable-class]] [[Minesweeper (ship)|minesweeper]] during [[World War II]]
* [[USS Eastland (APA-163)]] was a [[United States Navy]] [[Haskell class attack transport|Haskell-class]] [[attack transport]] during [[World War II]]
* [[USS Livingston (AP-163)]] was a [[United States Navy]] [[Crater-class cargo ship|Crater-class]] [[cargo ship]] during [[World War II]]
* [[USS McConnell (DE-163)]] was a [[United States Navy]] {{sclass|Cannon|destroyer escort}} during [[World War II]]
* [[USS Utina (ATF-163)]] was a [[United States Navy]] [[Abnaki class fleet ocean tug]] following [[World War II]]
* [[USS Vedette (SP-163)]] was a commercial [[yacht]] during [[World War I]]
* [[USS Walker (DD-163)]] was a [[United States Navy]] [[Wickes class destroyer|Wickes class]] [[destroyer]] during [[World War I]]
* [[163rd Fighter Squadron]], a unit of the [[Indiana Air National Guard]], flies the [[F-16C/D Fighting Falcon]]
 
==In American sports==
* [[Russ Howell]] at the [[Long Beach, California]] World Championship in 1977 performed a world record 163 full rotations in [[freestyle skateboarding tricks]]
* [[Swimming at the 1992 Summer Paralympics|Swimming]] at the [[1992 Summer Paralympics]] included 163 events (88 for men, 75 for women)
* In [[darts]], 163 is the least number that cannot be shot with three darts on a standard dart board
* [[Nate Colbert]] hit 163 [[home run]]s with the [[San Diego Padres]] (1969–1974) (before finishing his career with 173 [[home run]]s)
* [[MLB]] [[pitcher]]s [[Cy Young]] and [[Tim Wakefield]] each [[List of most hit batsman by MLB pitcher|hit]] 163 opposing batters
* [[MLB]] players who had 163 [[List of Major League Baseball players with 100 triples|triples]] in a career include:
** [[Bill Dahlen]]
** [[George Davis (shortstop)|George Davis]]
** [[Lou Gehrig]]
** [[Nap Lajoie]]
 
==In transportation==
* [[Peugeot Type 163]] automobile produced from 1919 to 1924
* [[Messerschmitt Me 163]] Komet was a [[Germany|German]] [[rocket plane|rocket-powered]] [[fighter aircraft]]. during [[World War II]]
* [[Intervale Avenue (IRT White Plains Road Line)|Intervale Avenue]] –163rd Street subway station, [[Bronx, New York]] subway station on the [[IRT White Plains Road Line]] of the [[New York City Subway]] in the USA.
* [[163rd Street–Amsterdam Avenue (IND Eighth Avenue Line)|163rd Street–Amsterdam Avenue]] [[metro station|station]] on the [[IND Eighth Avenue Line]] of the [[New York City Subway]] in America.
* The [[Bunche Park (Metrorail station)|Bunche Park]] [[Miami-Dade Transit#Metrorail|Metrorail]] station in [[Bunche Park, Florida]], USA,  at Northwest 163rd Street and 27th Avenue, set to open in 2014
* [[Saudi Arabian Airlines Flight 163]] caught fire at [[Riyadh]]'s International Airport en route from [[Karachi, Pakistan]] on August 19, 1980
* [[Iraqi Airways Flight 163]], en route from [[Baghdad]]'s [[Baghdad International Airport]] to [[Amman]], [[Jordan]], was [[Aircraft hijacking|hijacked]] and crashed on December 25, 1986
* [[List of highways numbered 163]]
 
==In TV and radio==
* Channel 163 on the [[List of Dish Network channels|Dish Network]] is [[VH1 Classic]]
* Channel 163 on [[List of XM Satellite Radio channels|XM Satellite Radio]] is [[Sirius XM Book Radio]]
 
==In other fields==
'''163''' is also:
* The year [[163|AD 163]] or [[163 BC]]
* 163 AH is a year in the [[Islamic calendar]] that corresponds to 779 – 780 [[Common Era|CE]]
* The [[atomic number]] of an element temporarily called [http://www.flw.com/datatools/periodic/001.php?id=163 Unhextrium]
* [[CD163]] (Cluster of Differentiation 163) is a human [[protein]] encoded by the {{gene|CD163}} [[gene]]
* The  [[Glossen|Glossen Opus 163]] [[waltz]] by [[Johann Strauss II]] (1855)
 
==See also==
* [[163 (disambiguation)]]
* [[United Nations Security Council Resolution 163]]
* [[List of United States Supreme Court cases, volume 163|United States Supreme Court cases, Volume 163]]
 
==References==
* Wells, D. (1987). ''[[The Penguin Dictionary of Curious and Interesting Numbers]]'' (pp.&nbsp;141–142). London: Penguin Group.
 
==External links==
{{Commons category|163 (number)}}
* {{cite web|last=Clark|first=Alex|title=163 and Ramanujan Constant|url=http://www.numberphile.com/videos/163.html|work=Numberphile|publisher=[[Brady Haran]]}}
* [http://www.numdic.com/163 The Number 163]
* [http://www.positiveintegers.org/163 The Positive Integer 163]
* [http://primes.utm.edu/curios/page.php/163.html Prime curiosities: 163]
* [http://www.163.com 163.com] website from [[NetEase]]
* [http://homepages.umflint.edu/~mclemanc/index-4.html#Coolest The coolest number is 163]
* [http://www.math.uic.edu/~ronan/163 163, the Monster and Number Theory]
* [http://www.virtuescience.com/163.html VirtueScience: 163]
* [http://www.ibew.org/IBEW/directory/SearchDirectory/detailLU.asp?LocalUnion=163 International Brotherhood of Electrical Workers Local Union 163]
* [http://www.untraveledroad.com/Categories/Highways/USHighway163.htm US Highway 163]
* [http://planetmath.org/encyclopedia/OneHundredAndSixtyThree.html Planetmath.Org 163]
 
{{Integers|1}}
 
{{DEFAULTSORT:163 (Number)}}
[[Category:Integers]]

Latest revision as of 08:39, 12 January 2015

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