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

Mihai Caragiu ()
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Mihai Caragiu: Ohio Northern University, Department of Mathematics and Statistics

Chapter Chapter 4 in Sequential Experiments with Primes, 2017, pp 151-183 from Springer

Abstract: Abstract 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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-56762-4_4

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DOI: 10.1007/978-3-319-56762-4_4

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