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A certificate of primality (or prime certificate)is a small set of values associated with an integer that can be used to efficiently prove that the integer is a prime number. Certain primality proving algo-rithms, such as Elliptic Curves for Primality Proving, generate such a certificate. A certificate of pri-mality can be independently verified by software other than the one that generated the certificate. This is useful in detecting any possible bugs in the implementation of a primality proving algorithm.

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© 2005 International Federation for Information Processing

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Stiglic, A. (2005). Certificate of Primality. In: van Tilborg, H.C.A. (eds) Encyclopedia of Cryptography and Security. Springer, Boston, MA . https://doi.org/10.1007/0-387-23483-7_51

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