A prime 
is called "good" if
 |
for all 
(there is a typo in Guy 1994 in which the 
s are replaced by 1s). There are infinitely many good primes,
and the first few are 5, 11, 17, 29, 37, 41, 53, ... (OEIS A028388).
Good Prime
See also
Andrica's Conjecture, Landau's Problems, Pólya ConjectureExplore with Wolfram|Alpha
References
Guy, R. K. "'Good' Primes and the Prime Number Graph." §A14 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 32-33, 1994.Sloane, N. J. A. Sequence A028388 in "The On-Line Encyclopedia of Integer Sequences."Referenced on Wolfram|Alpha
Good PrimeCite this as:
Weisstein, Eric W. "Good Prime." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GoodPrime.html