numbers (there is not), nor that there exists any particular arithmetic progression of prime numbers that is in some sense "arbitrarily long". Rather, the phrase is used to refer to the fact that no matter how large a number ' is, there exists some arithmetic progression of prime numbers of length at least '.

Similar to arbitrarily large, one can also define the phrase " holds for arbitrarily small real numbers", as follows:

In other words:

: However small a number, there will be a number ' smaller

1.Previous
3.Next