39 relations: Balanced prime, Boolean Pythagorean triples problem, Centered cube number, Centered heptagonal number, Centered octagonal number, Cuban prime, Decagonal number, Eight queens puzzle, Emirp, Highly composite number, Highly cototient number, International Organization for Standardization, ISO/IEC 7810, Kaprekar number, Keith number, Leyland number, Magic constant, Magic square, Markov number, Mathieu group, Natural number, Nonagonal number, Octahedral number, Padovan sequence, Pentagonal pyramidal number, Pronic number, Safe prime, Sexy prime, Sophie Germain prime, Sporadic group, Square pyramidal number, Super-Poulet number, Super-prime, Tetrahedral number, Triangular number, University of Tennessee, Weird number, 7744 (number), 7825 (number).
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.
The Boolean Pythagorean triples problem is a problem relating to Pythagorean triples which was solved using a computer-assisted proof in May 2016.
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.
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.
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.
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,...
A decagonal number is a figurate number that extends the concept of triangular and square numbers to the decagon (a ten-sided polygon).
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.
An emirp (prime spelled backwards) is a prime number that results in a different prime when its decimal digits are reversed.
A highly composite number (or anti-prime) is a positive integer with more divisors than any smaller positive integer has.
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.
The International Organization for Standardization (ISO) is an international standard-setting body composed of representatives from various national standards organizations.
ISO/IEC 7810 Identification cards — Physical characteristics is an international standard that defines the physical characteristics for identification cards.
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.
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.
In number theory, a Leyland number is a number of the form where x and y are integers greater than 1.
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.
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.
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.
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.
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").
A nonagonal number is a figurate number that extends the concept of triangular and square numbers to the nonagon (a nine-sided polygon).
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.
A pentagonal pyramidal number is a figurate number that represents the number of objects in a pyramid with a pentagonal base.
A pronic number is a number which is the product of two consecutive integers, that is, a number of the form.
A safe prime is a prime number of the form 2p + 1, where p is also a prime.
In mathematics, sexy primes are prime numbers that differ from each other by six.
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.
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.
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 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.
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.
A triangular number or triangle number counts objects arranged in an equilateral triangle, as in the diagram on the right.
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.
In number theory, a weird number is a natural number that is abundant but not semiperfect.
7744 is the natural number following 7743 and preceding 7745.
7825 (seven thousand, eight hundred twenty-five) is the natural number following 7824 and preceding 7826.