mscroggs
.co.uk
mscroggs
.co.uk
blog
puzzles
academic
talks
contact
subscribe
↓ ☰ ↓
subscribe
Loading image...
Advent calendar 2016
14 December
All 2016 advent puzzles
~
More information
In July, I posted the
Combining Multiples
puzzle.
Today's number is the largest number that cannot be written in the form \(27a+17b\), where \(a\) and \(b\) are positive integers (or 0).
Show answer
Hide answer
415
Tags:
numbers
,
factors
,
multiples
,
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
numbers
hexagons
folding tube maps
2d shapes
dominos
multiples
polygons
crossnumbers
dodecagons
polynomials
products
fractions
3d shapes
lines
range
rugby
volume
coordinates
odd numbers
squares
chess
cryptic crossnumbers
cryptic clues
digital clocks
graphs
symmetry
powers
mean
quadrilaterals
palindromes
chalkdust crossnumber
sequences
regular shapes
circles
differentiation
ellipses
geometric means
menace
pascal's triangle
geometric mean
matrices
sum to infinity
prime factors
unit fractions
ave
sets
probability
multiplication
triangle numbers
means
averages
neighbours
even numbers
tournaments
sums
cubics
median
arrows
perimeter
taxicab geometry
prime numbers
dates
percentages
grids
trigonometry
lists
addition
geometry
games
combinatorics
perfect numbers
clocks
crosswords
probabilty
binary
area
christmas
consecutive integers
surds
square grids
doubling
coins
parabolas
multiplaction squares
wordplay
number
colouring
indices
determinants
square numbers
cube numbers
rectangles
algebra
sport
shapes
functions
shape
dice
routes
balancing
logic
books
medians
integration
cards
irreducible numbers
quadratics
bases
spheres
axes
albgebra
floors
integers
scales
digital products
factors
elections
factorials
star numbers
money
xor
triangles
gerrymandering
consecutive numbers
calculus
digits
speed
tiling
angles
tangents
partitions
chocolate
planes
division
time
square roots
remainders
the only crossnumber
proportion
decahedra
expansions
advent
people maths
complex numbers
pentagons
Archive
Show me a random puzzle
▼ show ▼
▲ hide ▲
Most recent collections
Advent calendar 2025
Advent calendar 2024
Advent calendar 2023
Advent calendar 2022
List of all puzzles
Tags
crossnumbers
logic
combinatorics
area
menace
multiplaction squares
pentagons
doubling
indices
complex numbers
tiling
sport
angles
circles
ave
multiples
integration
proportion
rugby
games
chalkdust crossnumber
expansions
shape
cube numbers
xor
irreducible numbers
consecutive integers
hexagons
factors
sums
perimeter
the only crossnumber
quadrilaterals
elections
trigonometry
remainders
consecutive numbers
cryptic crossnumbers
palindromes
balancing
triangle numbers
3d shapes
christmas
advent
prime numbers
volume
algebra
time
wordplay
crosswords
averages
odd numbers
geometry
clocks
prime factors
perfect numbers
digital clocks
money
geometric mean
parabolas
rectangles
albgebra
arrows
decahedra
differentiation
polynomials
matrices
axes
routes
regular shapes
cards
speed
symmetry
dates
median
coins
2d shapes
lines
functions
integers
ellipses
digits
calculus
division
means
scales
lists
neighbours
tournaments
sum to infinity
probability
spheres
binary
sets
pascal's triangle
polygons
surds
books
fractions
people maths
multiplication
folding tube maps
triangles
geometric means
shapes
unit fractions
products
bases
colouring
taxicab geometry
number
determinants
percentages
square grids
factorials
powers
sequences
medians
square numbers
graphs
chocolate
mean
square roots
squares
addition
dodecagons
gerrymandering
digital products
cryptic clues
cubics
star numbers
range
grids
dice
dominos
tangents
planes
probabilty
coordinates
partitions
chess
numbers
quadratics
floors
even numbers
© Matthew Scroggs 2012–2026