The paper contains a geometric interpretation of Andrica’s conjecture
about the gap between the square roots of the consecutive primes and brings
empirical evidence that the random fluctuations of the gap between the quare
roots of the consecutive primes seem to stabilize around the mean gap.
References
[1]
Bell, E.T. (1937) Men of Mathematics. Simon & Schuster, Inc., New York.
[2]
George, A. and Velleman, D.J. (2002) Philosophies of Mathematics. Blackwell, Oxford.
[3]
Dudley, U. (1978) Elementary Number Theory. W.H. Freeman, San Francisco.
[4]
Guiasu, S. (1995) Is There Any Regularity in the Distribution of Prime Numbers at the Beginning of the Sequence of Positive Integers? Mathematics Magazine, 68, 110-121.
https://doi.org/10.1080/0025570X.1995.11996292
[5]
Wolfram, S. (1991) Mathematica. 2nd Edition, Addison-Wesley, Redwood City.
[6]
Andrica, D. (1986) Note on a Conjecture in Prime Number Theory. Studia Universitatis Babes-Bolyai Mathematica, 31, 44-48.