suivant: Test of primality :
monter: Integers (and Gaussian Integers)
précédent: Test of oddness :
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Test of pseudo-primality : is_pseudoprime
If is_pseudoprime(n) returns 2 (true), then
n is prime.
If it returns 1, then n is pseudo-prime (most
probably prime).
If it returns 0, then n is not prime.
DEFINITION: For numbers less than 1014, pseudo-prime and prime
are equivalent. But for numbers greater than 1014, a pseudo-prime
is a number with a large probability of being prime (cf. Rabin's Algorithm and
Miller-Rabin's Algorithm in the Algorithmic part (menu
Help->Manuals->Programming)).
Input :
is_pseudoprime(100003)
Output :
2
Input :
is_pseudoprime(9856989898997)
Output :
2
Input :
is_pseudoprime(14)
Output :
0
Input :
is_pseudoprime(9856989898997789789)
Output :
1
giac documentation written by Renée De Graeve and Bernard Parisse