- published: 17 Nov 2011
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25 (twenty-five) is the natural number following 24 and preceding 26.
It is a square number, being 5² = 5 × 5. It is the smallest square that is also a sum of two (non-zero) squares: 25 = 3² + 4². Hence it often appears in illustrations of the Pythagorean theorem.
25 is a centered octagonal number, a centered square number, and an automorphic number.
25 percent is equal to 1/4.
25 has an aliquot sum of 6 and number 6 is the first (or smallest) number to have an aliquot sequence that does not culminate in 0 through a prime. Twenty-five is the aliquot sum of three integers; 95, 119, and 143. Twenty-five is the second composite member of the 6-aliquot tree.
It is the smallest base 10 Friedman number as it can be expressed by its own numbers: 5².
It is also a Cullen number. 25 is the smallest pseudoprime satisfying the congruence 7n = 7 mod n.
25 is the smallest aspiring number — a composite non-sociable number whose aliquot sequence does not terminate.
According to the Shapiro inequality, 25 is the least odd integer n such that there exist Failed to parse (Missing texvc executable; please see math/README to configure.): x_1, x_2, \dots, x_n
Christopher Edward Martin (born March 21, 1966), better known by his stage name DJ Premier (also known as Preem, Premo, or Primo for short), is an American record producer and DJ, and was the instrumental half of the hip hop duo Gang Starr, together with emcee Guru. Born in Houston and raised in Prairie View, Texas, he has lived in Brooklyn, New York, for much of his professional career. Rolling Stone identified Premier as arguably Hip-Hop's greatest producer of all time.
The Source named DJ Premier one of the five greatest producers in hip-hop history, while the editors of About.com ranked him #1 on their Top 50 Hip-Hop Producers list. He also made the "Finals" in the search for The Greatest Hip-Hop Producer of All Time by Vibe. He attended Prairie View A&M University.
Premier is known for producing all of Gang Starr's songs as well as many of the Gang Starr Foundation's songs. His work also includes production for heavyweight rappers such as (alphabetic order) Apathy, Big L, Bun B, Canibus, D.I.T.C., Fat Joe, Game, Jay-Z, Kanye West, KRS-One, Lord Finesse, M.O.P., Mos Def, Nas, Rakim, Royce Da 5'9", The LOX, The Notorious B.I.G., Snoop Dogg, Xzibit, rock band Limp Bizkit, Big L, Big Daddy Kane, Ill Bill, Joell Ortiz, and pop/R&B singer Christina Aguilera, among many others.