17
The prime numbers between 10 and 20 are 11, 13, 17 and 19. There is only one square number between 10 and 20: 16. Using the criteria given, the number that fits is 17.
68 is a composite number because it has more than two factors and it is not a prime or a square number
No, square numbers (other than 1) have more than two factors.
Square numbers, greater than 1, have more than two factors.
Numbers with more than two factors are not prime numbers
One way is to get the prime factorization of the number. If every prime occurs an even number of times, it is a square, otherwise, not. Another is to estimate the square root of the number, and square it. If you get more than the number, try a lower estimate; if less, a higher one. Using interval bisection you very quickly zero in on the square root, if it is a whole number. If so, the number is a perfect square. Otherwise, you find 2 consecutive whole numbers between which is the square root, in which case it is not a perfect square.
68 is a composite number because it has more than two factors and it is not a prime or a square number
37
Prime numbers have two factors, composite numbers have more than two.
A prime number that is one more than a square number is known as a Sophie Germain prime. Sophie Germain primes are of the form 2p+1, where p is a prime number. For example, 17 is a Sophie Germain prime because it is one more than the square of 4, and both 4 and 17 are prime numbers. Sophie Germain primes have applications in number theory and cryptography.
There is not a number that is square, even, and prime. A prime number is a number with two and only two factors: 1 and itself. The only even prime number is 2, because all other even numbers are, by definition, divisible by 2, which means they have more than two factors and thus cannot be prime. A square number is the product of multiplying a number by itself, so the number which is multiplied by itsefl to create a square number is a factor of that number, meaning it has more than two factors, so it cannot be prime. A prime number cannot be even (except for the number 2) and cannot be a square number. A square number can be an even number, but can also be an odd number.
Prime numbers have two factors. All square numbers (other than 1) have more than that.
No, square numbers (other than 1) have more than two factors.
Because it will have more than two factors in it with the exception of 1 which is neither a prime or composite number
Square numbers, greater than 1, have more than two factors.
Numbers with more than two factors are not prime numbers
One way is to get the prime factorization of the number. If every prime occurs an even number of times, it is a square, otherwise, not. Another is to estimate the square root of the number, and square it. If you get more than the number, try a lower estimate; if less, a higher one. Using interval bisection you very quickly zero in on the square root, if it is a whole number. If so, the number is a perfect square. Otherwise, you find 2 consecutive whole numbers between which is the square root, in which case it is not a perfect square.
A beprisque number nnn is an integer which is either one more than a prime number and one less than a perfect square, or one more than a square and one less than a prime. The 5th such number is 10.