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If there is an integer 0<x<p such that x^2=q (mod p), (1) i.e., the congruence (1) has a solution, then q is said to be a quadratic residue (mod p). Note that the trivial ...

A Mrs. Perkins's quilt is a dissection of a square of side n into a number of smaller squares. The name "Mrs. Perkins's Quilt" comes from a problem in one of Dudeney's books, ...

A dozen dozen, also called a gross. 144 is a square number and a sum-product number.

The very large number consisting of the number 2 inside a mega-gon.

What is the maximum number of queens that can be placed on an n×n chessboard such that no two attack one another? The answer is n-1 queens for n=2 or n=3 and n queens ...

The number of degrees of freedom in a problem, distribution, etc., is the number of parameters which may be independently varied.

In 1704, Sebastien Truchet considered all possible patterns formed by tilings of right triangles oriented at the four corners of a square (Wolfram 2002, p. 875). Truchet's ...

An inaccessible cardinal is a cardinal number which cannot be expressed in terms of a smaller number of smaller cardinals.

A game in which each player has a finite number of moves and a finite number of choices at each move.

B_(p+k)=B_k+B_(k+1) (mod p), when p is prime and B_n is a Bell number.