Strong Frobenius Pseudoprime

A Pseudoprime which obeys an additional restriction beyond that required for a Frobenius Pseudoprime.A number with is a strong Frobenius pseudoprime with respect to Iff is a StrongPseudoprime with respect to . Every strong Frobenius pseudoprime with respect to is anEuler Pseudoprime to the base .

Every strong Frobenius pseudoprime with respect to such that is a Strong Lucas Pseudoprime with parameters . Every strong Frobeniuspseudoprime with respect to is an Extra Strong Lucas Pseudoprime to the base .

References

Grantham, J. ``Frobenius Pseudoprimes.'' 1996. http://www.clark.net/pub/grantham/pseudo/pseudo1.ps

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