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What else can I help you with?
How perfect numbers related to prime numbers?
They really are not
Why are no prime numbers perfect numbers?
Prime numbers have two factors. The sum of their proper divisors is always 1.
What is an example of prime numbers 49 111 97 81?
Prime numbers are numbers that can only be multiplied by 1 and itself (whole numbers only) to give the same result 49 (7x7) and 81 (9x9) are not a prime number (perfect squares actually) 111 and 97 are a prime number (find me two numbers that gives the same product without using the number 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 whole numbers and prime numbers the same?
No. Prime numbers are a subset of whole numbers.
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.
Can prime numbers and common numbers be the same?
Yes, numbers can have common prime factors.
Do prime numbers have a perfect square a factor?
Just 1.
What two numbers have the same product as their least common multiple?
Prime numbers or relatively 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.
Are co-prime numbers and twin prime numbers the same?
No - co-prime numbers are pairs of numbers which share no positive integer factors apart from 1. Twin prime numbers are a pair of prime numbers with a difference of 2.
