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

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

Archive

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