Let be the first Prime which follows a Prime Gap of between consecutive Primes. Shanks'
conjecture holds that
See also Prime Difference Function, Prime Gaps
References
Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 21, 1994.
Rivera, C. ``Problems & Puzzles (Conjectures): Shanks' Conjecture.''
http://www.sci.net.mx/~crivera/conjectures/conj_009.htm.
Shanks, D. ``On Maximal Gaps Between Successive Primes.'' Math. Comput. 18, 646-651, 1964.