The greatest prime function of real variable
DOI:
https://doi.org/10.14419/gjma.v3i2.4655Keywords:
Greatest Prime Function, Gap Function, Inequalities.Abstract
In this paper, we introduce a new function which we call the greatest prime function. In addition, we give an extension of the function to , and then use this definition to prove some inequalities and properties of this function. Some illustrative examples are given.
References
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[2] R. Crandall, C. Pomerance, Prime numbers: A computational perspective, Springer, New York, (2001). http://dx.doi.org/10.1007/978-1-4684-9316-0.
[3] P. Ribenboim, the Little Book of Bigger Primes, Second Edition, Springer-Verlag, New York, Inc (2004).
[4] J. Sandor, "On Certain Bounds and Limits for Prime Numbers," Notes on Number Theory and Discrete Mathematics 18(1), (2012).
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