Whenever you're talking about number theory, a polite number and what it entails will touched. For the latter, a polite number can be defined as a positive integer that you can write as a sum of two or more consecutive integers. With this definition, you should be able to solve some of the problems we've included as questions.
12
9
-9
8
Euler
Enrique
Mason
Sylvester
12
13
11
8
Four
Two
Ten
Three
38 polite numbers
28 polite numbers
49 polite numbers
44 polite numbers
Lambek-Moser theorem
Thomas-Henry theorem
Pythagoras theorem
David Euler Theorem
4
1
3
2
3
4
2
5
Three steps
Four steps
Five steps
Six steps
Staircase numbers
Trapezoidal numbers
Even numbers
Young diagrams