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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.
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Explain why a prime number can't be a square number?
Prime numbers have two factors. All square numbers (other than 1) have more than that.
What is a square even and prime number?
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.
What number is less than 100 is an even a prime number and is square?
There is only one even prime number and that is 2 as all over even numbers can be divided by 2 and 2 is not square so there isn't a number less than 100 that is an even prime square number.
You are a number between 6 and 150 you are one more than a square number the sum of your digits is a multiple of 5 you are a prime what number are you?
37
What number is prime and a square number?
It is not impossible for a number to be prime and square, The only possible number that is prime and a square is 1, which is 1x1, and 12. Due to the fact that prime numbers are only divisible by themselves and 1, primes cannot be a square.
Can a square number be a prime number why or why not?
No, square numbers (other than 1) have more than two factors.
Is 68 a prime number is it a square number Maths?
68 is a composite number because it has more than two factors and it is not a prime or a square number
Explain why a prime number can't be a square number?
Prime numbers have two factors. All square numbers (other than 1) have more than that.
Why can there not be a prime number that is also a square number?
Square numbers, greater than 1, have more than two factors.
What is the 5 beprsique number?
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.
You are thinking of a 2-digit odd number less than a 100 it is a prime number that is 6 more than a square number and 13 less than another square number what are you?
87 is the only 2-digit number that is 6 greater and 13 less than a square, but it is not prime.
Which is not a prime number in the 100 square grid?
Numbers with more than two factors are not prime numbers
Why can't a square number be a prime number?
Because it will have more than two factors in it with the exception of 1 which is neither a prime or composite number
What is a square even and prime number?
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.
Can a square number be prime numberwhy or why not?
no. a prime is only divisible by 1 and itself. a square number is two of of the same number multiplied together (5x5=25), giving it more than just two factors.
The square of 9 more than a number is equal to 9 more than the square of the number?
The square of 9 more than a number is equal to nine more than the square of a number. What is the number?
What is the largest 3 digit prime number whose square root is a prime number?
There is no three digit prime number whose square root is a prime number. Prime numbers have no factors other than 1 and themselves. Any number having a prime number as a square root is a composite number.
