Selecting entries by date which occur nearby

My problem is the following: I need to select records with the same name that have dates which occur within five days of each other. For example, if I had

Tim 5/3/06
Tim 5/5/06
Tim 11/2/06
Bill 1/13/07
Bill 1/20/07
Judy 7/4/06
Judy 7/7/06

my procedure should return

Tim 5/3/06
Tim 5/5/04
Judy 7/4/06
Judy 7/7/06

Any suggestions for doing this? I assume my best bet would be a cursor, though I'm unfamiliar with how to use a cursor to return this sort of data.

Here's the (woefully insufficient) query I came up with:

SELECT *

FROM tablename
and personname in (

SELECT personname

FROM tablename
GROUP BY personname HAVING DATEDIFF(day, min(date), max(date)) < 6 and DATEDIFF(day, min(date), max(date)) > 0
)

The problem is that this doesn't return the right answers when there are multiple dates associated with each person - for example, it would return Judy, but not Tim.

select p1.*
from prob01 as p1, prob01 as p2
where p1.name = p2.name
and p1.sampledate <> p2.sampledate
and datediff( dd, p1.sampledate, p2.sampledate) < 5
and datediff( dd, p2.sampledate, p1.sampledate) < 5