We do not know if 3x - 1 is prime because we do not know what x is equal to here.
4x^2 + 9 is a prime algebraic expression. Its numerical value may be prime of not - depending on the value of x.For x = 1, the value of the expression is 13 - a prime whereasfor x = 2, the value of the expression is 25 - not a prime.
According to Mersenne 2n - 1 is a prime number(where n is also a prime number).As we all know the first prime number is 2 so putting the value of 2 in Mersenne's expression we get 22 - 1 = 3. So, 3 is the first Mersenne prime.Mersenne expression was considered as a method of finding primes. But it didn't always give prime number. Let us consider an example:Putting n = 11 in the expression we get 211 - 1 = 2047, but 2047 is not a prime number.Visit the below related link to know more.
When the expression is broken down into its prime factors it is factored completely.
The prime factorization of 56 is:7 x 23 = 56
We do not know if 3x - 1 is prime because we do not know what x is equal to here.
4x^2 + 9 is a prime algebraic expression. Its numerical value may be prime of not - depending on the value of x.For x = 1, the value of the expression is 13 - a prime whereasfor x = 2, the value of the expression is 25 - not a prime.
According to Mersenne 2n - 1 is a prime number(where n is also a prime number).As we all know the first prime number is 2 so putting the value of 2 in Mersenne's expression we get 22 - 1 = 3. So, 3 is the first Mersenne prime.Mersenne expression was considered as a method of finding primes. But it didn't always give prime number. Let us consider an example:Putting n = 11 in the expression we get 211 - 1 = 2047, but 2047 is not a prime number.Visit the below related link to know more.
If an expression does not have a common factor, then it is called a "prime" expression.
Prime factorisation.
Prime factorization
a prime factorization
the prime factorization
When the expression is broken down into its prime factors it is factored completely.
Prime factorization.
The expression of a given composite number as the product of prime numbers.
That's known as the prime factorization.