perfect square is an element of algebraic structure that is equal to the square of another element. Square number, a perfect square integer. Perfect Square...

Perfect Square is a 2004 concert film of the alternative rock band R.E.M., filmed on July 19, 2003, at the Bowling Green in Wiesbaden, Germany. It was...

In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with...

size of a square in the tiling. The order of a squared square is its number of constituent squares. A "perfect" squared square is a square such that each...

any field, where either –1, 2 or –2 is a square. In a finite field, the product of two non-squares is a square; this implies that the polynomial x 4 +...

A most-perfect magic square of order n is a magic square containing the numbers 1 to n2 with two additional properties: Each 2 × 2 subsquare sums to 2s...

††† - Yen Press has the rights to series' digital release due to being a Square Enix title. 2001 Nights A, A Prime A.D. Police: Dead End City Abara Act-Age...

S {\displaystyle S} . Since all square roots of natural numbers, other than of perfect squares, are irrational, square roots can usually only be computed...

has a pair of folded perfect squares, one on each side of the equation. The two perfect squares balance each other. If two squares are equal, then the...

a perfect power is a natural number that is a product of equal natural factors, or, in other words, an integer that can be expressed as a square or a...

to squaring is quadratic. The square of an integer may also be called a square number or a perfect square. In algebra, the operation of squaring is often...

difference of two squares is one squared number (the number multiplied by itself) subtracted from another squared number. Every difference of squares may be factored...

lemma can be used to show that two identical perfect squares can never be added to produce another perfect square. Suppose the contrary that 2 {\displaystyle...

the square root of numbers having many digits. It was known to the ancient Greeks that square roots of positive integers that are not perfect squares are...

the odd leg) are both perfect squares; however this is not a sufficient condition, as the numbers {1, 8, 9} pass the perfect squares test but are not a Pythagorean...

squaring.net. The lowest number of squares need for a perfect tiling of a rectangle is 9 and the lowest number needed for a perfect tilling a square is...

Heronian triangles with perfect square sides are connected to the Perfect cuboid problem. The existence of a solution to the Perfect cuboid problem is equivalent...

divides a2 + b2. Prove that ⁠a2 + b2/ab + 1⁠ is a perfect square. Fix some value k that is a non-square positive integer. Assume there exist positive integers...

to just check if 24x + 1 is a perfect square. For non-generalized pentagonal numbers, in addition to the perfect square test, it is also required to check...

{\displaystyle x^{2}+10x+28.} This quadratic is not a perfect square, since 28 is not the square of 5: ( x + 5 ) 2 = x 2 + 10 x + 25. {\displaystyle (x+5)^{2}\...

{y}}} run forever on each input y {\displaystyle y} which is not a perfect square. Algorithms that compute ⌊ y ⌋ {\displaystyle \lfloor {\sqrt {y}}\rfloor...

in this case, n+1 = (p+1)2 is a perfect square. One can quickly detect perfect squares using Newton's method for square roots. By combining a Lucas pseudoprime...

one prime between consecutive perfect squares? Are there infinitely many primes p such that p − 1 is a perfect square? In other words: Are there infinitely...

neighboring site by Abbot Richbold (784–804) the cloister was made a perfect square, against the south flank of the new church, precisely as in the plan...

allows the packing of n {\displaystyle n} unit squares is known when n {\displaystyle n} is a perfect square (in which case it is n {\displaystyle {\sqrt...

of a perfect number (whether even or odd) must be even, because N cannot be a perfect square. From these two results it follows that every perfect number...

nth pronic number is at a radius of n and n + 1 from a perfect square, and the nth perfect square is at a radius of n from a pronic number. The nth pronic...

an integer q is a quadratic residue modulo n if it is congruent to a perfect square modulo n; that is, if there exists an integer x such that x 2 ≡ q (...

2081. Square Root Days fall upon the same nine dates each century. Notably, May 5, 2025, which also coincided with Cinco de Mayo, is a perfect Square Root...

) {\displaystyle f(n)} is only defined if n {\displaystyle n} is a perfect square (that is, 0 , 1 , 4 , 9 , 16 , … {\displaystyle 0,1,4,9,16,\ldots }...