Number Theory


On the Distribution of Prime Numbers in the Intervals Defined by the Fibonacci Numbers

Authors: J. S. Markovitch

The number of primes in the inclusive intervals defined by consecutive Fibonacci numbers exhibits interesting behavior between the Fibonacci numbers 55 and 196418. Specifically, starting with the interval [55, 89] through the interval [121393,196418] the ratio of the number of primes in successive intervals is a value that alternates high, low, high, low, etc.

Comments: 4 pages

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Submission history

[v1] 12 Aug 2010

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