An apparatus of an aspect includes a prefetch cache line address predictor to receive a cache line address and to predict a next cache line address to be prefetched. The next cache line address may indicate a cache line having at least 64-bytes of instructions. The prefetch cache line address predictor may have a cache line target history storage to store a cache line target history for each of multiple most recent corresponding cache lines. Each cache line target history may indicate whether the corresponding cache line had a sequential cache line target or a non-sequential cache line target. The cache line address predictor may also have a cache line target history predictor. The cache line target history predictor may predict whether the next cache line address is a sequential cache line address or a non-sequential cache line address, based on the cache line target history for the most recent cache lines.