Sequential Experiments with Primes

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Focusing on the mathematical culture at small undergraduate colleges, this book explores elementary number theory through prime number sequences and related functions. It introduces innovative mathematical concepts and presents open problems, with some proofs included. Topics like vector-valued MGPF sequences, extensions of Conway's Subprime Fibonacci sequences, and the linear complexity of bit streams are discussed. This resource is ideal for educators and advanced students seeking a profound learning experience in pure mathematics.