Metaplectic group: Difference between revisions

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{{Unreferenced|date=December 2009}}
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{{Infobox number
| number = 257
| prime = yes
}}
'''257''' is the natural number between [[256 (number)|256]] and 258. It is also a [[prime number]].
 
==In mathematics==
257 is a [[prime number]] of the form <math>2^{2^3}+1</math> and therefore a [[Fermat prime]]. Thus a [[regular polygon]] with 257 sides is [[constructible polygon|constructible]] with compass and unmarked straightedge.  It is currently the second largest known Fermat prime. It is also a [[Proth prime]]. And since it is of the form 4''n'' + 1, it is a [[Pythagorean prime]].
 
It is also an [[irregular prime]], and a [[Full reptend prime|long prime]] (in base 10) and a [[balanced prime]]. Since the next prime, 263, is 6 away, 257 is called a [[sexy prime]].
 
Since 257 + 2 = 259, a semiprime, 257 is a [[Chen prime]]. It is also an [[Eisenstein prime]] with no imaginary part, and a [[Pierpont prime]].
 
257 is the hypotenuse of a primitive [[Pythagorean triple]]:
<math>257^{2} = 32^{2}+255^{2}</math>
 
==In other fields==
'''257''' is the country calling code for [[Burundi]]. See [[List of country calling codes]].
 
{{Integers|2}}
 
{{DEFAULTSORT:257 (Number)}}
[[Category:Integers]]

Latest revision as of 01:47, 25 August 2014

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