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# 6000 (number)

6000 (six thousand) is the natural number following 5999 and preceding 6001. [1]

## Amicable numbers

Amicable numbers are two different numbers so related that the sum of the proper divisors of each is equal to the other number.

## Balanced prime

In number theory, a balanced prime is a prime number with equal-sized prime gaps above and below it, so that it is equal to the arithmetic mean of the nearest primes above and below.

Carlos Cadona, better known by his stage name 6025, is an American musician who served as the second guitarist for the American punk rock band Dead Kennedys, from their formation in July 1978 to March 1979.

## Carmichael number

In number theory, a Carmichael number is a composite number n which satisfies the modular arithmetic congruence relation: for all integers b which are relatively prime to n. They are named for Robert Carmichael.

## Centered heptagonal number

A centered heptagonal number is a centered figurate number that represents a heptagon with a dot in the center and all other dots surrounding the center dot in successive heptagonal layers.

## Centered octagonal number

A centered octagonal number is a centered figurate number that represents an octagon with a dot in the center and all other dots surrounding the center dot in successive octagonal layers.

## Checkerboard

A checkerboard (American English) or chequerboard (British English; see spelling differences) is a board of chequered pattern on which English draughts (checkers) is played.

## Cuban prime

A cuban prime (from the role cubes (third powers) play in the equations) is a prime number that is a solution to one of two different specific equations involving third powers of x and y. The first of these equations is: and the first few cuban primes from this equation are: 7, 19, 37, 61, 127, 271, 331, 397, 547, 631, 919, 1657, 1801, 1951, 2269, 2437, 2791, 3169, 3571, 4219, 4447, 5167, 5419, 6211, 7057, 7351, 8269, 9241,...

Dead Kennedys are an American punk rock band that formed in San Francisco, California, in 1978.

## Decagonal number

A decagonal number is a figurate number that extends the concept of triangular and square numbers to the decagon (a ten-sided polygon).

## Eight queens puzzle

The eight queens puzzle is the problem of placing eight chess queens on an 8×8 chessboard so that no two queens threaten each other.

## Fibonacci number

In mathematics, the Fibonacci numbers are the numbers in the following integer sequence, called the Fibonacci sequence, and characterized by the fact that every number after the first two is the sum of the two preceding ones: Often, especially in modern usage, the sequence is extended by one more initial term: By definition, the first two numbers in the Fibonacci sequence are either 1 and 1, or 0 and 1, depending on the chosen starting point of the sequence, and each subsequent number is the sum of the previous two.

## George Orwell

Eric Arthur Blair (25 June 1903 – 21 January 1950), better known by his pen name George Orwell, was an English novelist, essayist, journalist and critic whose work is marked by lucid prose, awareness of social injustice, opposition to totalitarianism and outspoken support of democratic socialism.

## Harmonic divisor number

In mathematics, a harmonic divisor number, or Ore number (named after Øystein Ore who defined it in 1948), is a positive integer whose divisors have a harmonic mean that is an integer.

## Highly cototient number

In number theory, a branch of mathematics, a highly cototient number is a positive integer k which is above 1 and has more solutions to the equation than any other integer below k and above 1.

## Leyland number

In number theory, a Leyland number is a number of the form where x and y are integers greater than 1.

## Magic constant

The magic constant or magic sum of a magic square is the sum of numbers in any row, column, or diagonal of the magic square.

## Magic square

In recreational mathematics and combinatorial design, a magic square is a n\times n square grid (where is the number of cells on each side) filled with distinct positive integers in the range 1,2,...,n^2 such that each cell contains a different integer and the sum of the integers in each row, column and diagonal is equal.

## Markov number

A Markov number or Markoff number is a positive integer x, y or z that is part of a solution to the Markov Diophantine equation studied by.

## MOS Technology 6502

The MOS Technology 6502 (typically "sixty-five-oh-two" or "six-five-oh-two") William Mensch and the moderator both pronounce the 6502 microprocessor as "sixty-five-oh-two".

## Natural number

In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").

## Nineteen Eighty-Four

Nineteen Eighty-Four, often published as 1984, is a dystopian novel published in 1949 by English author George Orwell.

## Ninja Sex Party

Ninja Sex Party (NSP) is an American musical comedy duo consisting of singer Dan Avidan and keyboardist Brian Wecht.

## Nonagonal number

A nonagonal number is a figurate number that extends the concept of triangular and square numbers to the nonagon (a nine-sided polygon).

## Octahedral number

In number theory, an octahedral number is a figurate number that represents the number of spheres in an octahedron formed from close-packed spheres.

## Pentagonal pyramidal number

A pentagonal pyramidal number is a figurate number that represents the number of objects in a pyramid with a pentagonal base.

## Perfect totient number

In number theory, a perfect totient number is an integer that is equal to the sum of its iterated totients.

## Progressive rock

Progressive rock (shortened as prog; sometimes called art rock, classical rock or symphonic rock) is a broad genre of rock music that developed in the United Kingdom and United States throughout the mid to late 1960s.

## Quran

The Quran (القرآن, literally meaning "the recitation"; also romanized Qur'an or Koran) is the central religious text of Islam, which Muslims believe to be a revelation from God (Allah).

Rashad Khalifa (رشاد خليفة; November 19, 1935 – January 30, 1990) was an Egyptian-American biochemist, closely associated with the United Submitters International, a reform branch of Islam.

## Ruth–Aaron pair

In mathematics, a Ruth–Aaron pair consists of two consecutive integers (e.g., 714 and 715) for which the sums of the prime factors of each integer are equal: and There are different variations in the definition, depending on how many times to count primes that appear multiple times in a factorization.

## Safe prime

A safe prime is a prime number of the form 2p + 1, where p is also a prime.

## Sophie Germain prime

In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime.

## Square pyramidal number

In mathematics, a pyramid number, or square pyramidal number, is a figurate number that represents the number of stacked spheres in a pyramid with a square base.

## Super-prime

Super-prime numbers (also known as higher-order primes or prime-indexed primes) are the subsequence of prime numbers that occupy prime-numbered positions within the sequence of all prime numbers.

## Tetrahedral number

A tetrahedral number, or triangular pyramidal number, is a figurate number that represents a pyramid with a triangular base and three sides, called a tetrahedron.

## Thabit number

In number theory, a Thabit number, Thâbit ibn Kurrah number, or 321 number is an integer of the form 3 \cdot 2^n - 1 for a non-negative integer n. The first few Thabit numbers are: The 9th Century mathematician, physician, astronomer and translator Thābit ibn Qurra is credited as the first to study these numbers and their relation to amicable numbers.

## Triangular number

A triangular number or triangle number counts objects arranged in an equilateral triangle, as in the diagram on the right.

## Vampire number

In mathematics, a vampire number (or true vampire number) is a composite natural number v, with an even number of digits n, that can be factored into two integers x and y each with n/2 digits and not both with trailing zeroes, where v contains precisely all the digits from x and from y, in any order, counting multiplicity.

## Year 6000

According to classical Jewish sources, the Hebrew year 6000 (from sunset of 29 September 2239 until nightfall of 16 September 2240 on the Gregorian calendar) marks the latest time for the initiation of the Messianic Age.

## 6174 (number)

6174 is known as Kaprekar's constant after the Indian mathematician D. R. Kaprekar.