pseudoprime การใช้

• The Frobenius test is a generalization of the Lucas pseudoprime test.
• Every Euler Jacobi pseudoprime is also a Fermat pseudoprime and an Euler pseudoprime.
• Every Euler Jacobi pseudoprime is also a Fermat pseudoprime and an Euler pseudoprime.
• Every Euler Jacobi pseudoprime is also a Fermat pseudoprime and an Euler pseudoprime.
• The smallest Euler Jacobi pseudoprime base 2 is 561.
• The smallest strong pseudoprime base 2 is 2047 ( page 1004 of ).
• Every Euler pseudoprime is also a Fermat pseudoprime.
• Every Euler pseudoprime is also a Fermat pseudoprime.
• Similar to the example, Khashin notes that no pseudoprime has been found for his test.
• The smallest Euler-Jacobi pseudoprime to base 2 is 561 ( see page 1004 of ).
• The definition of a strong pseudoprime depends on the base used; different bases have different strong pseudoprimes.
• :It looks like the answer to this question depends on what you mean by " Fibonacci pseudoprime ".
• It follows ( page 460 ) that an odd composite integer is a strong Fibonacci pseudoprime if and only if:
• An Euler probable prime which is composite is called an Euler & ndash; Jacobi pseudoprime to base " a ".
• But if we know that " n " is not prime, then one may use the term strong pseudoprime .)
• A composite strong probable prime to base " a " is called a strong pseudoprime to base " a ".
• One can also combine a Miller Rabin type test with a Lucas pseudoprime test to get a primality test that has no known counterexamples.
• 217 is a centered hexagonal number, a centered 36-gonal number, a Fermat pseudoprime to base 5, and a Blum integer.
• For example, 1093 2 = 1194649 is a Fermat pseudoprime to base 2, and 11 2 = 121 is a Fermat pseudoprime to base 3.
• For example, 1093 2 = 1194649 is a Fermat pseudoprime to base 2, and 11 2 = 121 is a Fermat pseudoprime to base 3.