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 2023

Advent calendar 2022

Advent calendar 2021

Advent calendar 2020


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2024