Intel Core i5 8257U 's Advantages
Better graphics card performance
Lower TDP (15W vs 45W)
Intel Core i5 13500HX 's Advantages
Released 3 years and 6 months late
Higher specification of memory (DDR5-4800 vs DDR4-2400)
Larger memory bandwidth (76.8GB/s vs 37.5GB/s)
Newer PCIe version (5.0 vs 3.0)
Higher base frequency (2.5GHz vs 1.4GHz)
Larger L3 cache size (24MB vs 6MB)
More modern manufacturing process (10nm vs 14nm)