mscroggs.co.uk
mscroggs.co.uk

subscribe

Advent calendar 2023

12 December

What is the smallest value of \(n\) such that
$$\frac{500!\times499!\times498!\times\dots\times1!}{n!}$$
is a square number?

Show answer

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2024

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021


List of all puzzles

Tags

surds odd numbers decahedra parabolas consecutive numbers time digital products complex numbers sets quadrilaterals factorials area dodecagons numbers grids dominos sport binary irreducible numbers geometric means polynomials floors colouring algebra unit fractions chocolate chalkdust crossnumber square grids angles rectangles rugby integers chess albgebra pentagons differentiation percentages squares sums square roots cryptic crossnumbers trigonometry quadratics perfect numbers people maths menace triangle numbers shapes integration elections division multiples palindromes means pascal's triangle cube numbers cubics consecutive integers proportion lines planes dice taxicab geometry dates range partitions regular shapes functions crossnumbers tournaments geometry perimeter prime numbers volume probabilty addition coins symmetry grids median matrices triangles sequences ellipses logic wordplay medians shape ave square numbers circles crosswords clocks tiling cryptic clues products sum to infinity powers advent polygons even numbers combinatorics digits graphs folding tube maps books bases neighbours remainders 2d shapes axes determinants spheres routes geometric mean cards probability factors calculus star numbers scales tangents numbers mean expansions averages christmas games balancing fractions arrows digital clocks money doubling 3d shapes indices coordinates the only crossnumber multiplication speed number hexagons gerrymandering

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2025