mscroggs.co.uk
mscroggs.co.uk
blog     puzzles     academic     talks     contact     subscribe

subscribe

Puzzles

Square pairs

Source: Maths Jam
Can you order the integers 1 to 16 so that every pair of adjacent numbers adds to a square number?
For which other numbers \(n\) is it possible to order the integers 1 to \(n\) in such a way?

Show answer

Tags: numbers, square numbers, sums
If you enjoyed this puzzle, check out Sunday Afternoon Maths LIX,
puzzles about sums, or a random puzzle.

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

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

Archive

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