313 (three hundred [and] thirteen) is the natural number following 312 and preceding 314.
In mathematics
313 is:
- the 65th prime number
- a twin prime with 311
- a centered square number[1]
- a full reptend prime[2] (and the smallest number which is a full reptend prime in base 10 but not in base 2 to 9)
- a Pythagorean prime[3]
- a regular prime[4]
- a palindromic prime in both decimal and binary.
- a truncatable prime[5]
- a weakly prime in base 5
- a happy number[6]
- an Armstrong number - in base 4 ( 3×42 + 1×41 + 3×40 = 33 + 13 + 33 )
- an index of a prime Lucas number.[7]
In religion
- The number of soldiers that Muhammad had with him in the first battle fought by the Muslims, the Battle of Badr.[8]
- In Twelver Shia Islam, 313 is the number of soldiers or generals that will be in the army of the 12th "Imam of time" (Mahdi).
In other fields
- The number 313 is the U.S. telephone area code for the city of Detroit and nearby locales.[9]
- Frame 313 of the Zapruder film shows the moment of impact for the bullet that killed President John F. Kennedy.[10]
- Donald Duck's car plate bears the number 313.
- Flight 313 was a 2014 thriller movie about airline cover up.
- 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
References
- ^ "Sloane's A001844 : Centered square numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02.
- ^ Sloane, N. J. A. (ed.). "Sequence A001913 (Full reptend primes: primes with primitive root 10.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A002144 (Pythagorean primes: primes of form 4*k + 1.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "Sloane's A007703 : Regular primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02.
- ^ Sloane, N. J. A. (ed.). "Sequence A020994 (Primes that are both left-truncatable and right-truncatable.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "Sloane's A007770 : Happy numbers]". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02.
- ^ Sloane, N. J. A. (ed.). "Sequence A001606 (Indices of prime Lucas numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Razwy, Sayed Ali Asgher. A Restatement of the History of Islam & Muslims. pp. 132–133.
- ^ North American Numbering Plan Administration (2012). "NANPA Area Codes Map: Michigan". Nanpa.com. NeuStar. Retrieved 19 February 2012.
- ^ Bugliosi, Vincent (2007). Reclaiming History: The Assassination of President John F. Kennedy. New York: W.W. Norton. p. 505. ISBN 978-0-393-04525-3.