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 square numbers, 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

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

Archive

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