Let b be an odd integer greater than 1.

If n is an integer, then 2n+1, 2n+3, and 2n+5 will be odd consecutive integers.

This is only about two out of every million odd integers in this range.

The sum of sequential odd integers, beginning with one, is a square number.

No such simple expression is known for odd positive integers.

We have three possible types of integers, even, odd, and prime.

The most common use in this sense is an odd integer especially when seen as a figurate number between square numbers.

He proved that every odd integer greater than 1 is the sum of at most five primes.

Say that a block is odd if it starts with an odd integer.

Without the latter condition, all odd integers greater than 1 would be Proth numbers.