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# 7000 (number)

7000 (seven thousand) is the natural number following 6999 and preceding 7001. 

## 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.

## Boolean Pythagorean triples problem

The Boolean Pythagorean triples problem is a problem relating to Pythagorean triples which was solved using a computer-assisted proof in May 2016.

## Centered cube number

A centered cube number is a centered figurate number that counts the number of points in a three-dimensional pattern formed by a point surrounded by concentric cubical layers of points, with i 2 points on the square faces of the i-th layer.

## 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.

## 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,...

## 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.

## Emirp

An emirp (prime spelled backwards) is a prime number that results in a different prime when its decimal digits are reversed.

## Highly composite number

A highly composite number (or anti-prime) is a positive integer with more divisors than any smaller positive integer has.

## 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.

## International Organization for Standardization

The International Organization for Standardization (ISO) is an international standard-setting body composed of representatives from various national standards organizations.

## ISO/IEC 7810

ISO/IEC 7810 Identification cards — Physical characteristics is an international standard that defines the physical characteristics for identification cards.

## Kaprekar number

In mathematics, a non-negative integer is called a "Kaprekar number" for a given base if the representation of its square in that base can be split into two parts that add up to the original number, with the proviso that the part formed from the low-order digits of the square must be non-zero—although it is allowed to include leading zeroes.

## Keith number

In recreational mathematics, a Keith number or repfigit number (short for repetitive Fibonacci-like digit) is a number in the following integer sequence: Keith numbers were introduced by Mike Keith in 1987.

## 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.

## Mathieu group

In the area of modern algebra known as group theory, the Mathieu groups are the five sporadic simple groups ''M''11, ''M''12, ''M''22, ''M''23 and ''M''24 introduced by.

## 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").

## 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.

The Padovan sequence is the sequence of integers P(n) defined by the initial values and the recurrence relation The first few values of P(n) are The Padovan sequence is named after Richard Padovan who attributed its discovery to Dutch architect Hans van der Laan in his 1994 essay Dom.

## Pentagonal pyramidal number

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

## Pronic number

A pronic number is a number which is the product of two consecutive integers, that is, a number of the form.

## Safe prime

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

## Sexy prime

In mathematics, sexy primes are prime numbers that differ from each other by six.

## Sophie Germain prime

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

In group theory, a discipline within mathematics, a sporadic group is one of the 26 exceptional groups found in the classification of finite simple groups.

## 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-Poulet number

A super-Poulet number is a Poulet number, or pseudoprime to base 2, whose every divisor d divides For example, 341 is a super-Poulet number: it has positive divisors and we have: When a composite number is a pseudoprime to base 2, but not to every base (That is, not a Carmichael number), then it is a super-Poulet number, and when \frac is not prime, then it and every divisor of it are a pseudoprime to base 2, and a super-Poulet number.

## 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.

## Triangular number

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

## University of Tennessee

The University of Tennessee (also referred to as The University of Tennessee, Knoxville, UT Knoxville, UTK, or UT) is a public sun- and land-grant university in Knoxville, Tennessee, United States.

## Weird number

In number theory, a weird number is a natural number that is abundant but not semiperfect.

## 7744 (number)

7744 is the natural number following 7743 and preceding 7745.

## 7825 (number)

7825 (seven thousand, eight hundred twenty-five) is the natural number following 7824 and preceding 7826.

## References

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