Examples of 'pseudoprime' in a sentence
Meaning of "pseudoprime"
A pseudoprime is a number that exhibits prime-like behavior but is not actually a prime number
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- An integer that possesses at least one characteristic of a prime number without actually being prime. The characteristic is typically chosen to make such "false primes" very rare.
- A Fermat pseudoprime; a composite integer n satisfying bⁿ⁻¹≡1(mod n) for some integer b such that b > 1.
- Being such an integer.
How to use "pseudoprime" in a sentence
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pseudoprime
Run the strong pseudoprime test base b on n.
A composite number that passes such a test is called a pseudoprime.
Test if n is a strong pseudoprime to base b but not a prime.
Such a composite is called Lucas pseudoprime.
A strong pseudoprime is a composite number that passes a strong version of a primality test.
The Frobenius test is a generalization of the Lucas pseudoprime test.
A pseudoprime is a pseudoprime to the base 2.
Is also the third Carmichael number and the first absolute Euler pseudoprime.
Strong Lucas pseudoprime.
A discussion of numbers of this form can be found at Euler-Jacobi pseudoprime.
Therefore, no Carmichael number is a strong pseudoprime to every base relatively prime to it.
If n is composite and satisfies the formula, then n is a " Fibonacci pseudoprime.
In mathematics, a Catalan pseudoprime is an odd composite number n satisfying the congruence.
Strong Fibonacci pseudoprime.
Every Euler-Jacobi pseudoprime is also a Fermat pseudoprime and an Euler pseudoprime.
See also
An Euler probable prime which is composite is called an Euler-Jacobi pseudoprime to base a.
Is the smallest pseudoprime satisfying the congruence 7n 7 mod n.
If n has this property, it is called a " Perrin pseudoprime.
This tells us that n is a pseudoprime base 2, but not a strong pseudoprime base 2.
In general, if p is a Wieferich prime, then p2 is a Catalan pseudoprime.
In addition, the following connection exists: Let n be a base 2 pseudoprime and p be a prime divisor of n.
In this case 19 is prime, so it is not a Lucas pseudoprime.
If it is not, then p is called a ( Fermat ) pseudoprime to base a.
Like composite numbers of the form 2p - 1, every composite Fermat number is a strong pseudoprime to base 2.
