mscroggs.co.uk
mscroggs.co.uk

subscribe

Advent calendar 2020

20 December

18 can be written as the sum of 3 consecutive (strictly) positive integers: 5 + 6 + 7.
18 can also be written as the sum of 4 consecutive (strictly) positive integers: 3 + 4 + 5 + 6.
18 is in fact the smallest number that can be written as the sum of both 3 and 4 consecutive (strictly) positive integers.
Today's number is the smallest number that can be written as the sum of both 12 and 13 consecutive (strictly) positive integers.

Show answer

Tags: numbers, sums

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

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

Archive

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