paragraph_text: Harry Edward Styles (born 1 February 1994) is an English singer, songwriter, and actor. He rose to stardom as a member of the boy band One Direction. Styles grew up in Holmes Chapel, Cheshire, where he performed as a singer with his band White Eskimo. In 2010, Styles auditioned as a solo artist for the British music competition series The X Factor, where he and four other contestants joined to form One Direction. One Direction have since released five albums, performed four worldwide tours, and won several awards. One Direction went on an extended hiatus in January 2016.

paragraph_text: Classic Albums: Iron Maiden -- The Number of the Beast is a documentary about the making of the album of the same name by the British heavy metal band Iron Maiden, released on 26 November 2001 as part of the Classic Albums documentary series. Directed by Tim Kirkby, it featured cuts from the title track, ``Children of the Damned '',`` Run to the Hills'', and ``The Prisoner, ''in addition to extended interviews and live footage of`` Hallowed Be Thy Name'', recorded during the band's performance at the Rock in Rio festival in 2001.

paragraph_text: Aida Yurijivna Nikolaychuk, sometimes spelled Nikolaichuk, (Ukrainian: Аїда Юріївна Ніколайчук) is a Ukrainian pop singer and model. She was the winner of the third season of Ukraine's X-Factor TV talent competition in 2012. She drew special attention during the show's second season when judges interrupted her performance of Polina Gagarina's Lullaby (Колыбельная, Kalybelnaya), suspecting her voice was actually a digital recording. They challenged her to sing the song a cappella. Although visibly surprised, Nikolaychuk sang the song equally well without accompaniment.

paragraph_text: Giusy Ferreri debuted in May 2005, with the release of the single "Il party", which failed to achieve commercial success. In 2008 she finished as the runner-up of the first series of Italian talent show "X Factor".

paragraph_text: Yvie Burnett (born 8 August 1968), is a Scottish mezzo-soprano and vocal coach, best known for her work with Simon Cowell on television shows "The X Factor" and "Britain's Got Talent", "The Big Reunion" "The Voice UK" and BBC's "Let It Shine"

paragraph_text: Beauty and the Beast: Original Motion Picture Soundtrack is the official soundtrack album to the 1991 Disney animated feature film, Beauty and the Beast. Originally released on October 24, 1991, by Walt Disney Records, the album's first half -- tracks 2 to 9 -- generally contains the film's musical number s, all of which were written by composer Alan Menken and lyricist Howard Ashman, while its latter half -- tracks 10 to 14 -- features its musical score, composed solely by Menken. While the majority of the album's content remains within the musical theatre genre, its songs have also been influenced by French, classical, pop and Broadway music. Credited to Various Artists, Beauty and the Beast: Original Motion Picture Soundtrack features performances by the film's main cast -- Paige O'Hara, Richard White, Jesse Corti, Jerry Orbach, Angela Lansbury and Robby Benson -- in order of appearance. Additionally, the album features recording artists Celine Dion and Peabo Bryson, who perform a pop rendition of the film's title and theme song, ``Beauty and the Beast '', which simultaneously serves as the soundtrack's only single.

paragraph_text: Several public-key cryptography algorithms, such as RSA and the Diffie–Hellman key exchange, are based on large prime numbers (for example, 512-bit primes are frequently used for RSA and 1024-bit primes are typical for Diffie–Hellman.). RSA relies on the assumption that it is much easier (i.e., more efficient) to perform the multiplication of two (large) numbers x and y than to calculate x and y (assumed coprime) if only the product xy is known. The Diffie–Hellman key exchange relies on the fact that there are efficient algorithms for modular exponentiation, while the reverse operation the discrete logarithm is thought to be a hard problem.

paragraph_text: Joelle Hadjia (born 7 November 1990 in Sydney) is an Australian singer best known simply as Joelle and for competing in the fourth season of "The X Factor Australia" as part of the duo Good Question and in the fifth season as a solo singer.

paragraph_text: "Firestarter" is a song recorded by Australian singer Samantha Jade. The song was digitally released on 28 June 2013. "Firestarter" was written by Jade, David Musumeci and Anthony Egizii, and produced by Musumeci and Egizii under their stage name DNA Songs. "Firestarter" debuted and peaked at number nine on the ARIA Singles Chart and was certified platinum for selling 70,000 copies. The track was promoted by performances on the first results show of season five of "The X Factor" Australia on 26 August 2013 and "Sunrise" on 28 June 2013. The accompanying music video was directed by Christopher Freyand. It was nominated and went on to win "Best Video" at the 27th ARIA Music Awards. It was also used to promote the fifth season of "The X Factor" Australia.

paragraph_text: The Lenstra elliptic-curve factorization or the elliptic-curve factorization method (ECM) is a fast, sub-exponential running time, algorithm for integer factorization, which employs elliptic curves. For general-purpose factoring, ECM is the third-fastest known factoring method. The second-fastest is the multiple polynomial quadratic sieve, and the fastest is the general number field sieve. The Lenstra elliptic-curve factorization is named after Hendrik Lenstra.

paragraph_text: Beauty and the Beast: Original Motion Picture Soundtrack is the official soundtrack album to the 1991 Disney animated feature film, Beauty and the Beast. Originally released on October 29, 1991, by Walt Disney Records, the album's first half -- tracks 2 to 9 -- generally contains the film's musical number s, all of which were written by composer Alan Menken and lyricist Howard Ashman, while its latter half -- tracks 10 to 14 -- features its musical score, composed solely by Menken. While the majority of the album's content remains within the musical theatre genre, its songs have also been influenced by French, classical, pop and Broadway music. Credited to Various Artists, Beauty and the Beast: Original Motion Picture Soundtrack features performances by the film's main cast -- Paige O'Hara, Richard White, Jesse Corti, Jerry Orbach, Angela Lansbury and Robby Benson -- in order of appearance. Additionally, the album features recording artists Celine Dion and Peabo Bryson, who perform a pop rendition of the film's title and theme song, ``Beauty and the Beast '', which simultaneously serves as the soundtrack's only single.

paragraph_text: James Andrew Arthur (born 2 March 1988) is a British singer and songwriter who won the ninth series of The X Factor in 2012. His debut single, ``Impossible '', was released by Syco Music after the final and debuted at number one on the UK Singles Chart in its first week of release. Since then, it has gone on to sell over 1.4 million copies in the UK, making it the most successful winner's single in the show's history and has sold over 2.5 million copies worldwide. The follow - up single`` You're Nobody 'til Somebody Loves You'' reached number 2 on the UK Singles Chart. He released his self - titled debut studio album in November 2013. The album debuted and peaked at number two on the UK Albums Chart.

paragraph_text: The X Factor is the tenth studio album by English heavy metal band Iron Maiden, released on 2 October 1995 through EMI. It is the first of two albums by the band to include Blaze Bayley, formerly of Wolfsbane, as vocalist, replacing Bruce Dickinson who left the band following their previous tour to pursue a solo career. The album takes a darker tone than the band's first nine releases, due to the lyrics being based on personal issues surrounding Steve Harris at the time, who was in the midst of a divorce. This is reflected in the cover artwork, which graphically depicts the band's mascot, Eddie, being vivisected by machine.

paragraph_text: Christiana Loizu Hadjiordanou ( , born 19 January 1990) is a Cypriot singer and the winner of the 4th season of "X Factor" Bulgaria. She is competing under the name Christiana Loizou from 2015, which is considered simpler for non-Greek speakers.

paragraph_text: Contestants that make it into the semi-finals by making it through the auditions and being chosen by the judges (or, from series 8, received the Golden Buzzer during their audition), perform once more before an audience and the judges, with their performance broadcast on live television. Until the tenth series, live episodes were broadcast from The Fountain Studios in Wembley, the same site used for The X Factor, but following its closure in 2016, the show relocated its live episodes to Elstree Studios in 2017, before moving to Hammersmith Apollo the following year. Like the Audition stage of the contest, each semi-finalist must attempt to impress by primarily conducting a new routine of their act within the same span of time; the judges can still use a buzzer if they are displeased with a performance and can end it early if all the buzzers are used, along with giving a personal opinion about an act when the performance is over. Of the semi-finalists that take part, only two can progress into the final, which is determined by two different types of votes - a public phone vote, and a judges' vote.

paragraph_text: Many questions regarding prime numbers remain open, such as Goldbach's conjecture (that every even integer greater than 2 can be expressed as the sum of two primes), and the twin prime conjecture (that there are infinitely many pairs of primes whose difference is 2). Such questions spurred the development of various branches of number theory, focusing on analytic or algebraic aspects of numbers. Primes are used in several routines in information technology, such as public-key cryptography, which makes use of properties such as the difficulty of factoring large numbers into their prime factors. Prime numbers give rise to various generalizations in other mathematical domains, mainly algebra, such as prime elements and prime ideals.

paragraph_text: In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1 / x or x, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a / b is b / a. For the multiplicative inverse of a real number, divide 1 by the number. For example, the reciprocal of 5 is one fifth (1 / 5 or 0.2), and the reciprocal of 0.25 is 1 divided by 0.25, or 4. The reciprocal function, the function f (x) that maps x to 1 / x, is one of the simplest examples of a function which is its own inverse (an involution).

paragraph_text: The song "Chi (Who)" was written by X Factor judge Morgan and vocal coach Gaudy for the show and was performed by Aram Quartet during the finals of the series for Rai 2 that aired on 27 November 2009.The single was officially released by Sony BMG as an EP immediately after the announcement of the results with Aram Quartet declared as winner. It reached #5 on 5 June 2008 on the Italian Singles Chart in its first week of release, then going down to #9 the following week.

paragraph_text: "Jalla Dansa Sawa" (meaning Come on and dance together) is a 2013 song by Swedish singer of Iranian origin Behrang Miri which was performed in Melodifestivalen 2013. In the vocals, he is accompanied by Malmö local artists the American-Swede Loulou Lamotte and Italian-Swede Oscar Zia, a contestant in the 2012 series of Swedish "X Factor".

paragraph_text: Brothers3 are an Australian country music boy band from Mudgee, New South Wales. The band consists of brothers Makirum, Shardyn and Tayzin Fahey-Leigh. In 2014, Brothers3 placed third on the sixth season of "The X Factor Australia".

Question: What documentary described the making of Number of the Beast, by the artists who recorded The X Factor?
Answer: Classic Albums: Iron Maiden -- The Number of the Beast