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

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

Archive

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