mscroggs.co.uk
mscroggs.co.uk

subscribe

Advent calendar 2025

20 December

A number is called a perfect power if it is equal to nk for some integer n and some integer k > 1. 2025 is a perfect power (452) and 23 more than 2025 is also a perfect power (211).
What is the only three-digit perfect power that is 29 less than another perfect power?

Show answer

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2025

Advent calendar 2024

Advent calendar 2023

Advent calendar 2022


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2026