Category
page 1Squares in number theory
Pythagorean triple
three positive integers, the squares of two of which sum to the square of the third
square
result of multiplying a number, or other expression, by itself
square number
product of some integer with itself
triangular number
figurate number
quadratic form
homogeneous polynomial of degree two in a number of variables
Basel problem
mathematical problem
Olga Taussky-Todd
mathematician (1906–1995)
unit square
square whose sides have length 1
Waring's problem
problem in number theory
Lagrange's four-square theorem
theorem
Fermat's theorem on sums of two squares
theorem that an odd prime is a sum of two squares iff it is of the form 4𝑛+1
Brahmagupta–Fibonacci identity
expression of a product of sums of squares as a sum of squares
Legendre's conjecture
conjecture that there is a prime between any two square numbers
Euler's four-square identity
product of sums of four squares is a sum of four squares
Euler's criterion
in number theory concerning primes
Brocard's conjecture
conjecture
Pythagorean prime
an odd prime number that is the sum of two squares; equivalently, prime of the form 4𝑛+1
Ramanujan's sum
math function by Srinivasa Ramanujan
Legendre's three-square theorem
theorem that every nonnegative integer is the sum of three perfect squares unless it is a product of a power of four and a number that is 7 modulo 8
Gauss's lemma
Condition under which a integer is a quadratic residue
Degen's eight-square identity
theorem
Fermat's right triangle theorem
non-existence proof in number theory, the only complete proof left by Pierre de Fermat
integer triangle
triangle with integer side lengths
Jacobi's four-square theorem
How many ways that a positive integer can be represented as the sum of 4 squares
Congruence of squares
in number theory, a congruence commonly used in integer factorization algorithms
Pythagorean quadruple
four integers where the sum of the squares of three equal the square of the fourth
Dixon's factorization method
application of the square factoring method
Sun Zhiwei
Chinese mathematician
sum of squares function
function in mathematical number theory
sum of two squares theorem
theorem in number theory
Sums of powers
Wikimedia disambiguation page
The Book of Squares
book on algebra by Leonardo Fibonacci