-
Elliptic pseudoprime Euler pseudoprime Euler–Jacobi
pseudoprime Fermat pseudoprime Frobenius pseudoprime Lucas pseudoprime Perrin pseudoprime Somer–Lucas...
-
Lucas pseudoprimes and
Fibonacci pseudoprimes are
composite integers that p****
certain tests which all
primes and very few
composite numbers p****: in...
- In
number theory, the
Fermat pseudoprimes make up the most
important class of
pseudoprimes that come from Fermat's
little theorem. Fermat's
little theorem...
- In
number theory, a
Frobenius pseudoprime is a
pseudoprime,
whose definition was
inspired by the
quadratic Frobenius test
described by Jon
Grantham in...
-
composites also p****,
making them "
pseudoprimes".
Unlike the
Fermat pseudoprimes, for
which there exist numbers that are
pseudoprimes to all
coprime bases (the...
- In mathematics, an odd
composite integer n is
called an
Euler pseudoprime to base a, if a and n are coprime, and a ( n − 1 ) / 2 ≡ ± 1 ( mod n ) {\displaystyle...
-
above congruence, then n is
called an Euler–Jacobi
pseudoprime (or, more commonly, an
Euler pseudoprime) to base a. As long as a is not a
multiple of n (usually...
- in
which case it is
called a
strong pseudoprime, and a is a
strong liar. No
composite number is a
strong pseudoprime to all
bases at the same time (contrary...
- part is false: For example, 2341 ≡ 2 (mod 341), but 341 = 11 × 31 is a
pseudoprime to base 2. See below.
Several proofs of Fermat's
little theorem are known...
- property.
Carmichael numbers are also
called Fermat pseudoprimes or
absolute Fermat pseudoprimes. A
Carmichael number will p**** a
Fermat primality test...
