227 (number)
Encyclopedia
227 is the natural number between 226 and 228. It is also a prime number
.
, and a twin prime
with 229
(thus 227 is a Chen prime
). 223 plus 4 is 227, so they are cousin prime
s. 227 plus 6 is 233, making 227 and 233 sexy prime
s; furthermore, 227, 233, and 239 form a sexy prime triplet.
Since (227 - 1)/2 is 113, also a prime, 227 is a safe prime
.
It is also a regular prime. 227 is an Eisenstein prime
with no imaginary part, and also a Gaussian prime. 227 is a Stern prime
since it is not of the form
.
It can be written as the sum of the sum and the product of the first four primes:
Prime number
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example 5 is prime, as only 1 and 5 divide it, whereas 6 is composite, since it has the divisors 2...
.
In mathematics
227 is a prime numberPrime number
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example 5 is prime, as only 1 and 5 divide it, whereas 6 is composite, since it has the divisors 2...
, and a twin prime
Twin prime
A twin prime is a prime number that differs from another prime number by two. Except for the pair , this is the smallest possible difference between two primes. Some examples of twin prime pairs are , , , , and...
with 229
229 (number)
229 is the natural number between 228 and 230. It is also a prime number.The North American telephone area code 229 is assigned to the area around the city of Albany in southwestern Georgia in North America....
(thus 227 is a Chen prime
Chen prime
A prime number p is called a Chen prime if p + 2 is either a prime or a product of two primes. The even number 2p + 2 therefore satisfies Chen's theorem....
). 223 plus 4 is 227, so they are cousin prime
Cousin prime
In mathematics, cousin primes are prime numbers that differ by four; compare this with twin primes, pairs of prime numbers that differ by two, and sexy primes, pairs of prime numbers that differ by six....
s. 227 plus 6 is 233, making 227 and 233 sexy prime
Sexy prime
In mathematics, a sexy prime is a prime number that differs from another prime number by six. For example, the numbers 5 and 11 are both sexy primes, because they differ by 6...
s; furthermore, 227, 233, and 239 form a sexy prime triplet.
Since (227 - 1)/2 is 113, also a prime, 227 is a safe prime
Safe prime
A safe prime is a prime number of the form 2p + 1, where p is also a prime. The first few safe primes are...
.
It is also a regular prime. 227 is an Eisenstein prime
Eisenstein prime
In mathematics, an Eisenstein prime is an Eisenstein integerz = a + b\,\omega\qquadthat is irreducible in the ring-theoretic sense: its only Eisenstein divisors are the units , a + bω itself and its associates.The associates and the complex conjugate...
with no imaginary part, and also a Gaussian prime. 227 is a Stern prime
Stern prime
A Stern prime, named for Moritz Abraham Stern, is a prime number that is not the sum of a smaller prime and twice the square of a nonzero integer. Or, to put it algebraically, if for a prime q there is no smaller prime p and nonzero integer b such that q = p + 2b², then q is a...
since it is not of the form
.It can be written as the sum of the sum and the product of the first four primes:
In popular culture
- 227227 (TV series)227 is an American situation comedy that originally aired on NBC from September 14, 1985, until May 6, 1990. The series starred Marla Gibbs as a sharp-tongued, inner-city resident gossip and housewife, Mary Jenkins...
, an NBC sitcom which ran from 1985-1990. - 227 was the highest score ever in the Eurovision Song ContestEurovision Song ContestThe Eurovision Song Contest is an annual competition held among active member countries of the European Broadcasting Union .Each member country submits a song to be performed on live television and then casts votes for the other countries' songs to determine the most popular song in the competition...
, achieved by Katrina and the WavesKatrina and the WavesKatrina and the Waves was an English pop rock band, best known for their 1985 hit "Walking on Sunshine" and their 1997 Eurovision Song Contest victory with the song "Love Shine a Light".-Pre-history: The Waves and Mama's Cookin' :...
of the UK in 1997Eurovision Song Contest 1997The Eurovision Song Contest 1997, was the 42nd Eurovision Song Contest and it was held at the Point Theatre Dublin, Ireland, on 3 May 1997. Boyzone member Ronan Keating and Carrie Crowley were the presenters of the show....
, before the Semi-final system was introduced in 2004Eurovision Song Contest 2004The Eurovision Song Contest 2004, was the 49th Contest and it was held in the Abdi İpekçi Arena in Istanbul, Turkey. This was the first occasion in which the contest was held in Turkey after they had won the competition in 2003 with Sertab Erener singing "Everyway That I Can"...
. - 227 is the number of days Pi Patel was at sea in the popular novel, Life of PiLife of PiLife of Pi is a fantasy adventure novel by Yann Martel published in 2001. The protagonist, Piscine Molitor "Pi" Patel, an Indian boy from Pondicherry, explores issues of spirituality and practicality from an early age...