| Number | 313 |
|---|---|
| Prime | 65th, twin, palindromic |
313 (three hundred [and] thirteen) is the natural number following 312 and preceding 314.
In mathematics
313 is:
- 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]
- a palindromic number in base 2 (100111001)
In religion
- The number of times the word pray appears in the King James Bible.
- The number of soldiers that Muhammad had with him in the first battle fought by the Muslims, the Battle of Badr.[8]
References
- ^ "Sloane's A001844 : Centered square numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02.
- ^
- ^
- ^ "Sloane's A007703 : Regular primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02.
- ^
- ^ "Sloane's A007770 : Happy numbers]". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-02.
- ^
- ^ Razwy, Sayed Ali Asgher. A Restatement of the History of Islam & Muslims. pp. 132–133.