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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 Strong
Pseudoprime with respect to
. Every strong Frobenius pseudoprime with respect to
is an
Euler Pseudoprime to the base
.
Every strong Frobenius pseudoprime with respect to such that
is a Strong Lucas Pseudoprime with parameters
. Every strong Frobenius
pseudoprime
with respect to
is an Extra Strong Lucas Pseudoprime to the base
.
See also Frobenius Pseudoprime
References
Grantham, J. ``Frobenius Pseudoprimes.'' 1996.
http://www.clark.net/pub/grantham/pseudo/pseudo1.ps