The first three prime numbers (2, 3, and 5) are unique in that all other primes, starting with 7, can be constructed from them using the formula x^n * y^n +or- z^n, where x=2; y=3; and z=5. This formula generates the set of all numbers not divisible by 2, 3 or 5, which, by definition, includes all primes >5 (For example, x^2 * y - z, or 2^2 * 3 - 5 = 7).
squares of prime numbers
41,43, and 47 are all prime numbers. so there are three prime numbers between 40 and 50
The only two prime factors of 18 are: 2, 3
The number 2 is the only even prime number - all other even numbers are divisible by 2.
That's an infinite list.
Squares of prime numbers have only three factors.
squares of prime numbers
The only way for three prime numbers to have a sum of 42 is if one of the prime numbers is 2, as 2 is the only even prime number. The other two prime numbers must add up to 40, which can only be achieved by 3 and 37. Therefore, the three prime numbers that have a sum of 42 are 2, 3, and 37.
The numbers with only three factors are squares of prime numbers.
prime squares
41,43, and 47 are all prime numbers. so there are three prime numbers between 40 and 50
225 cannot be factorised into the product of only 3 prime numbers.
The only two prime factors of 18 are: 2, 3
Because if x and y differ by three, then either x or y has to be an even number. The only even prime is 2.
The number 2 is the only even prime number - all other even numbers are divisible by 2.
There is only one pair of consecutive prime numbers, and the prime numbers are two and three, because any pair of consecutive numbers has one odd and one even number, and two is the only even prime number, because all other even numbers can be divided by two, and the only pairs of consecutive numbers are one and two and three, but one is not prime because it only has one factor, thus making the only consecutive pair of primes two and three. But the problem asks for the product of the two numbers, not the numbers themselves, so just multiply two and three together to get a final result of six.
squares of prime numbers