mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

22 December

Permanent link to this puzzle: mscroggs.co.uk/puzzles/advent2019/22
In bases 3 to 9, the number 112 is: \(11011_3\), \(1300_4\), \(422_5\), \(304_6\), \(220_7\), \(160_8\), and \(134_9\). In bases 3, 4, 6, 8 and 9, these representations contain no digit 2.
There are two 3-digit numbers that contain no 2 in their representations in all the bases between 3 and 9 (inclusive). Today's number is the smaller of these two numbers.

Show answer

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2019

Sunday Afternoon Maths LXVII

Coloured weights
Not Roman numerals

Advent calendar 2018

Sunday Afternoon Maths LXVI

Cryptic crossnumber #2

List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2020