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 2024

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2025