Wilson Prime
A Wilson prime is a prime satisfying
 |
where 
is the Wilson
quotient, or equivalently,
 |
The first few Wilson primes are 5, 13, and 563 (OEIS A007540). Crandall et al. (1997) showed there are no others less than 
(McIntosh
2004), a limit that has subsequently been increased to 
(Costa
et al. 2012).
Costa, E.; Gerbicz, R.; and Harvey, D. "A Search for Wilson Primes." 5 Dec 2012. https://arxiv.org/abs/1209.3436.
Crandall, R.; Dilcher, K; and Pomerance, C. "A search for Wieferich and Wilson Primes." Math. Comput. 66, 433-449, 1997.
Gonter, R. H. and Kundert, E. G. "All Numbers Up to 
Have Been
Tested without Finding a New Wilson Prime." Preprint, 1994.
Havil, J. Gamma: Exploring Euler's Constant. Princeton, NJ: Princeton University Press, p. 167, 2003.
McIntosh, R. email to Paul Zimmermann. 9 Mar 2004. https://www.loria.fr/~zimmerma/records/Wieferich.status.
Mersenne Forum. "Wilson-Prime Search Practicalities." https://www.mersenneforum.org/showthread.php?t=16028.
Le Lionnais, F. Les nombres remarquables. Paris: Hermann, p. 56, 1983.
Ribenboim, P. "Wilson Primes." §5.4 in The New Book of Prime Number Records. New York: Springer-Verlag, pp. 346-350, 1996.
Sloane, N. J. A. Sequence A007540/M3838 in "The On-Line Encyclopedia of Integer Sequences."
Vardi, I. Computational Recreations in Mathematica. Reading, MA: Addison-Wesley, p. 73, 1991.
Weisstein, Eric W. "Wilson Prime." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/WilsonPrime.html
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