Number Theory


On the Fibonacci Numbers, the Koide Formula, and the Distribution of Primes

Authors: J. S. Markovitch

The Koide formula from physics is modified for use with the reciprocals of primes found in the intervals defined by the Fibonacci numbers. This formula's resultant values are found to alternate lower, higher, lower, higher, etc. from the interval (5,8] to the interval (514229,832040]. This pattern, inverted, is also shown to occur when the corresponding results are computed for non-primes.

Comments: 71 Pages.

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Submission history

[v1] 2012-11-05 13:01:21

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