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词条 313 (number)
释义

  1. In mathematics

  2. Religious significance

  3. In popular culture

  4. See also

  5. References

{{Refimprove|date=December 2009}}{{Infobox number
| number = 313
| prime = twin prime, palindromic prime
}}

313 (three hundred [and] thirteen) is the natural number following 312 and preceding 314.

In mathematics

313 is:

  • a prime number
  • a twin prime with 311
  • a centered square number[1]
  • a full reptend prime (smallest prime which is full reptend prime in base 10 but not in base 2 to 9)
  • a pythagorean prime
  • a regular prime[2]
  • a palindromic prime in both decimal and binary.
  • a truncatable prime
  • a weakly prime in base 5
  • a happy number[3]
  • an Armstrong number - in base 4 ( 3×42 + 1×41 + 3×40 = 33 + 13 + 33 )

Religious significance

In Twelver Shia Islam mysticism, 313 is the number of soldiers in the army of the 12th "hidden Imam" (Mahdi).

In popular culture

  • The number 313 is the U.S. telephone area code for the city of Detroit and nearby locales.[4]
  • Frame 313 of the Zapruder film shows the moment of impact for the bullet that killed President John F. Kennedy.[5]
  • Donald Duck's car plate bears the number 313.
  • The sixth track of the album Get Some (album) by Snot (band) is called 313.
  • The fifth track of the album Infinite (album) by Eminem is called 313.

See also

  • The year 313 AD
  • The year 313 BC

References

1. ^{{Cite web|url=https://oeis.org/A001844|title=Sloane's A001844 : Centered square numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-02}}
2. ^{{Cite web|url=https://oeis.org/A007703|title=Sloane's A007703 : Regular primes|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-02}}
3. ^{{Cite web|url=https://oeis.org/A007770|title=Sloane's A007770 : Happy numbers]|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-02}}
4. ^{{Cite web |url=http://www.nanpa.com/area_code_maps/display.html?mi |title=NANPA Area Codes Map: Michigan |author=North American Numbering Plan Administration |authorlink=North American Numbering Plan |year=2012 |publisher=NeuStar |work=Nanpa.com |accessdate=19 February 2012 }}
5. ^{{Cite book |title=Reclaiming History: The Assassination of President John F. Kennedy |last=Bugliosi |first=Vincent |authorlink=Vincent Bugliosi |year=2007 |publisher=W.W. Norton |location=New York |isbn=978-0-393-04525-3 |page=505 }}
{{Integers|3}}{{DEFAULTSORT:313 (Number)}}{{Num-stub}}

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