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Why are no prime numbers perfect numbers?
Prime numbers have two factors. The sum of their proper divisors is always 1.
What is the relationship between Mersenne prime and perfect numbers?
Perfect numbers have the form 2n-1(2n-1) where 2n-1 is a Mersenne prime. When a new Mersenne prime is discovered, so is a new perfect number.
Is it possible for a prime number to be a perfect number and why?
No, all prime numbers are deficient.
Are prime numbers more or less common than perfect squares?
Any number squared except 0 is a perfect square so it follows that prime numbers are less common than perfect squares.
Are the perfect and prime numbers same?
No because technically its different .
Do prime numbers have a perfect square a factor?
Just 1.
How is the LCM related to the relatively prime numbers?
When two numbers are relatively prime, the LCM will be their product.
What are related prime numbers?
You might be thinking of relatively prime numbers. Two numbers are considered relatively prime if their GCF is 1. 4 and 9 are relatively prime.
What makes prime numbers and composite numbers related?
Prime numbers are related with composite numbers as they are both natural numbers and real numbers and also every composite number is a product of prime numbers due to which they are related with each other.For example 24=[2] [2] [3] [2].Here 24 is a composite number,real number and natural number and 2,2,3,2 are prime numbers and also they are real and natural numbers
How are prime factors and factors related?
Prime factors are factors that are also prime numbers.
Do perfect numbers have to be prime numbers?
Perfect numbers cannot be prime numbers. Here's why:A number N is perfect if σ(N) = 2N (σ is the sum of divisors function). If there is a prime p that is a perfect number, then σ(p) = 2p. However, the only factors of p are 1 and p, so σ(p) is also equal to p+1. If 2p = p+1, then p=1, which is not prime, and 1 is defined to have only one factor, 1.
What square numbers below 100 are also prime numbers?
A [perfect] square number, by definition, has a factor which is its square root. As a result it CANNOT be a prime!
