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Shanks' Conjecture

Let $p(g)$ be the first Prime which follows a Prime Gap of $g$ between consecutive Primes. Shanks' conjecture holds that


See also Prime Difference Function, Prime Gaps


Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 21, 1994.

Rivera, C. ``Problems & Puzzles (Conjectures): Shanks' Conjecture.''

Shanks, D. ``On Maximal Gaps Between Successive Primes.'' Math. Comput. 18, 646-651, 1964.

© 1996-9 Eric W. Weisstein