Alan,
The key phrase in your question is
"...cured a turkey breast properly..." Most of us do not cure meats & poultry for the purpose of long-term storage. Therefore, our curing times are much shorter than necessary for this purpose. Short curing times may slightly extend the time to which the product can be in the danger zone (40�F - 140�F) but will not significantly extend the storage time, after cooking.
To properly cure turkey for long-term storage, you can read the process suggested by the
Oregon State University Extension Service (PDF format) or the
Washington State University (HTML format). As indicated in these references,
properly cured and smoked turkey can be stored at 40�F or below for 2 to 3 weeks.
Ray