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

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

Archive

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