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

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


Show me a random puzzle
 Most recent collections 

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

Sunday Afternoon Maths LXV

Cryptic crossnumber #1
Breaking Chocolate
Square and cube endings

List of all puzzles


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


Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2019