Xorshift Generators

Xorshift generators are a widely-adopted family of pseudorandom number algorithms based on XOR and bitshift operations, introduced by mathematician George Marsaglia in 2003, that power randomness in billions of devices including browsers and video games like Minecraft and No Man's Sky. This article provides a comprehensive technical exploration of how these generators work, including their mathematical foundations, testing methods, and variations like xorshift64* and xorshift128+, while examining what makes specific shift parameters (such as 23, 17, and 26) effective for generating sequences that appear random despite being entirely deterministic.