Advent calendar 2019

22 December

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


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


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


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