Conway’s Subprime Function and Related Structures with a Touch of Fibonacci Flavor

  • Mihai CaragiuEmail author


While the previous chapter was primarily devoted to recurrences involving sequences of primes, or sequences of vectors with prime components, or sequences of sets of primes in the context of algebraic structures defined on the set of primes, all of them set up in terms of the greatest prime factor function, in the present chapter we will address special recurrent sequences of integers defined in terms of two other number-theoretic functions that involve in an essential way in their definitions the prime factors of their argument. These are the Euler’s phi (or totient) function, and Conway’s subprime function.

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© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsOhio Northern UniversityAdaUSA

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