Shrimp should not be refrigerated for more than 2 to 3 days. Some companies print a sell-by date on the package, and this should be followed after purchasing shrimp.
Shrimp has a rather short shelf-life compared to most foods, and consuming shrimp that has expired can have serious health consequences. For best results when refrigerating shrimp, place it in an airtight container until it is ready for use. If the shrimp will not be used right away, it is ideal to place it in the freezer, as this can greatly extend the shelf-life. Avoid eating shrimp that has developed a rotten smell or a slimy surface.