A short set of data that proves the primality of a number. A certificate can, in general, be checked much more quickly than the time required to generate the certificate. Varieties of primality certificates include the Pratt certificate and Atkin-Goldwasser-kilian-morain certificate.
Primality Certificate
See also
Atkin-Goldwasser-Kilian-Morain Certificate, Compositeness Certificate, Pratt Certificate, Probable Prime, PseudoprimeExplore with Wolfram|Alpha
References
Wagon, S. "Prime Certificates." §8.7 in Mathematica in Action. New York: W. H. Freeman, pp. 277-285, 1991.Referenced on Wolfram|Alpha
Primality CertificateCite this as:
Weisstein, Eric W. "Primality Certificate." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PrimalityCertificate.html