Prime number

A prime number (or a prime) 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 because 1 and 5 are its only positive integer factors, whereas 6 is composite because it has the divisors 2 and 3 in addition to 1 and 6. The fundamental theorem of arithmetic establishes the central role of primes in number theory: any integer greater than 1 can be expressed as a product of primes that is unique up to ordering. The uniqueness in this theorem requires excluding 1 as a prime because one can include arbitrarily many instances of 1 in any factorization, e.g., 3, 1 · 3, 1 · 1 · 3, etc. are all valid factorizations of 3.

The property of being prime (or not) is called primality. A simple but slow method of verifying the primality of a given number n is known as trial division. It consists of testing whether n is a multiple of any integer between 2 and . Algorithms much more efficient than trial division have been devised to test the primality of large numbers. These include the Miller–Rabin primality test, which is fast but has a small probability of error, and the AKS primality test, which always produces the correct answer in polynomial time but is too slow to be practical. Particularly fast methods are available for numbers of special forms, such as Mersenne numbers. As of January 2016, the largest known prime number has 22,338,618 decimal digits.

Prime (liturgy)

Prime, or the First Hour, is a fixed time of prayer of the traditional Divine Office (Canonical Hours), said at the first hour of daylight (approximately 7:00 a.m.), between the morning Hour of Lauds and the 9 a.m. Hour of Terce. It is part of the Christian liturgies of Eastern Christianity, but in the Latin Rite it was suppressed by the liturgical reforms following the Second Vatican Council. However, clergy who have an obligation to celebrate the Liturgy of the Hours may still fulfil their obligation by using the Roman Breviary promulgated by Pope John XXIII in 1962, which contains the Hour of Prime. Like all the liturgical hours, except the Office of Readings, it consists primarily of Psalms. It is one of the Little Hours.

Name

The word "Prime" comes from Latin and refers to the first hour of daylight (i.e., dawn). Originally, in the West, Prime was called matitutina (hora), "morning hour". Later, in order to distinguish it from the nocturnal offices of Matins and Lauds, and to include it among hours of the day, it was called prima. The name is first met with in the Rule of St. Benedict. In the Antiphonary of Bangor it is called secunda.

Prime (film)

Prime is a 2005 American romantic comedy film starring Uma Thurman, Meryl Streep and Bryan Greenberg. It was written and directed by Ben Younger. The film grossed $67,937,503 worldwide.

Plot

Rafi (Uma Thurman) is a recently divorced, 37-year-old career woman from Manhattan who becomes romantically involved with David (Bryan Greenberg), a talented 23-year-old Jewish painter from the Upper West Side. Rafi shares all her secrets with her therapist Lisa (Meryl Streep) who, unbeknownst to Rafi, is David's mother. Lisa, supportive of Rafi's relationship with a younger man, discovers the connection and finds herself not only faced with the ethical and moral dilemma of counseling David's girlfriend, but also the reality that she feels differently about the relationship now that she knows her son is involved. Lisa consults her own therapist, and they decide that it is in the best interest of her patient Rafi for Lisa to continue treatment, as long as the relationship remains the "fling" it appears to be.

Doctor

Doctor or The Doctor may refer to:

Personal titles

Fictional characters

Film and television

Doctors (TV series)

Doctors is a British medical soap opera which first broadcast in the United Kingdom on BBC One on 26 March 2000. Set in the fictional Midlands town of Letherbridge, defined as being in the city of Birmingham, the soap follows the staff of a doctor's surgery, and their families.

History

Doctors is produced by BBC Birmingham and is screened on BBC One, with the first episode broadcast on 26 March 2000. It was created by Chris Murray, with Mal Young developing it and Carson Black the original producer. The show has been shown at lunchtime since its inception, originally at 12.30pm as a lead-in to the BBC's One O'Clock News. After it was temporarily moved to allow for extended news coverage of the 11 September 2001 attacks, its regular slot changed to 2:10 pm, following directly after Neighbours, after ratings rose to a 25% audience share. When the BBC lost Neighbours to Channel 5 in January 2008, it moved into the Australian soap's old slot of 1:45pm. For a brief trial period in Summer 2000, selected episodes from the first series were shown on Fridays at 7 pm and from 16 February 2009, the show began transmitting in high definition on BBC HD at 4:00pm the same day.

Doctors (series 8)

Series 8 of the long-running medical soap opera Doctors commenced on 24 April 2006. This series consisted of 185 episodes and concluded on 13 April 2007.

Cast

Main Characters

Recurring Characters

Crew

Episodes

References