R help - Oct 2006 - binom calculation with range

What is the way to calculate the probability that between 1 and 5?
i.e.

We can do:
> pbinom(q=1,size=1000,prob=0.0005,lower.tail=FALSE)
[1] 0.09016608
> pbinom(q=5,size=1000,prob=0.0005,lower.tail=FALSE)
[1] 1.398798e-05
> pbinom(q=1:5,size=1000,prob=0.0005,lower.tail=FALSE)
[1] 9.016608e-02 1.435924e-02 1.743731e-03 1.707366e-04 1.398798e-05

But it is really about pr(1 <= X <= 5).

I can think of:

pbinom(q=5,size=1000,prob=0.0005,lower.tail=FALSE) -
pbinom(q=1,size=1000,prob=0.0005,lower.tail=FALSE)

but, I am unsure if we don't have any other options for calculating it in R.

thx much.

> dbinom(1:5,size=1000,prob=0.0005)
[1] 0.3033791010 0.0758068339 0.0126155111 0.0015729946
0.0001567486
> sum(dbinom(1:5,size=1000,prob=0.0005))
[1] 0.3935312
> diff(pbinom(q=c(0,5),size=1000,prob=0.0005))
[1] 0.3935312
> diff(pbinom(q=c(5,0),size=1000,prob=0.0005, lower=FALSE))
[1] 0.3935312


All the distribution functions have variants:
p probability
d density
q quantile
r random numbers

See the help files, for example ?pbinom