313 (three hundred ndthirteen) is the

natural number In mathematics, the natural numbers are the numbers 0, 1, 2, 3, and so on, possibly excluding 0. Some start counting with 0, defining the natural numbers as the non-negative integers , while others start with 1, defining them as the positive in ...

following

312 __NOTOC__ Year 312 (Roman numerals, CCCXII) was a leap year starting on Tuesday of the Julian calendar. In the Roman Empire, it was known as the Year of the Consulship of Constantinus and Licinianus (or, less frequently, year 1065 ''Ab urbe co ...

and preceding 314.

In mathematics

313 is: *a

twin prime A twin prime is a prime number that is either 2 less or 2 more than another prime number—for example, either member of the twin prime pair or In other words, a twin prime is a prime that has a prime gap of two. Sometimes the term ''twin prime' ...

with 311 *a

centered square number In elementary number theory, a centered square number is a Centered polygonal number, centered figurate number that gives the number of dots in a Square (geometry), square with a dot in the center and all other dots surrounding the center dot i ...

full reptend prime In number theory, a full reptend prime, full repetend prime, proper primeDickson, Leonard E., 1952, ''History of the Theory of Numbers, Volume 1'', Chelsea Public. Co. or long prime in base ''b'' is an odd prime number ''p'' such that the Fermat ...

(and the smallest number which is a full reptend prime in base 10 but not in base 2 to 9) *a

Pythagorean prime A Pythagorean prime is a prime number of the Pythagorean primes are exactly the odd prime numbers that are the sum of two squares; this characterization is Fermat's theorem on sums of two squares. Equivalently, by the Pythagorean theorem, they ...

*a regular prime *a palindromic prime in both

decimal The decimal numeral system (also called the base-ten positional numeral system and denary or decanary) is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers (''decimal fractions'') of th ...

and binary. *a

truncatable prime In number theory, a left-truncatable prime is a prime number which, in a given base, contains no 0, and if the leading ("left") digit is successively removed, then all resulting numbers are prime. For example, 9137, since 9137, 137, 37 and 7 are ...

*a weakly prime in base 5 *a

happy number In number theory, a happy number is a number which eventually reaches 1 when the number is replaced by the sum of the square of each digit. For instance, 13 is a happy number because 1^2+3^2=10, and 1^2+0^2=1. On the other hand, 4 is not a happy ...

*an Armstrong number - in base 4 ( 3×4² + 1×4¹ + 3×4⁰ = 3³ + 1³ + 3³ ) *an index of a prime Lucas number. *a palindromic number in base 2 (100111001)

In religion

* The number of times the word pray appears in the

King James Bible The King James Version (KJV), also the King James Bible (KJB) and the Authorized Version (AV), is an Early Modern English translation of the Christian Bible for the Church of England, which was commissioned in 1604 and published in 1611, by ...

. * The number of soldiers that

Muhammad Muhammad (8 June 632 CE) was an Arab religious and political leader and the founder of Islam. Muhammad in Islam, According to Islam, he was a prophet who was divinely inspired to preach and confirm the tawhid, monotheistic teachings of A ...

had with him in the first battle fought by the Muslims, the

Battle of Badr The Battle of Badr or sometimes called The Raid of Badr ( ; ''Ghazwahu Badr''), also referred to as The Day of the Criterion (, ; ''Yawm al-Furqan'') in the Qur'an and by Muslims, was fought on 13 March 624 CE (17 Ramadan, 2 AH), near the pre ...

.Razwy, Sayed Ali Asgher. A Restatement of the History of Islam & Muslims. pp. 132–133.

References

Integers {{Num-stub