Managing memory access requests to a cache system including one or more cache levels that are configured to store cache lines that correspond to memory blocks in a main memory includes: storing stream information identifying recognized streams that were recognized based on previously received memory access requests, where one or more of the recognized streams comprise strided streams that each have an associated strided prefetch result corresponding to a stride that is larger than or equal to a size of a single cache line; and determining whether or not a next cache line prefetch request corresponding to a particular memory access request will be made based at least in part on whether or not the particular memory access request matches a strided prefetch result for at least one strided stream, and a history of past next cache line prefetch requests.