what is prime number?
Answers
Answer:
prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself.
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A prime number is a positive integer which has only two factors i.e. one and itself. It implies that the number can be divided only by one and itself.
For example – 2, 3, 5, 7, 11…. etc are some of the prime numbers. Prime Numbers Facts.
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As We know that, Prime numbers can be divided into two types:
1. Mersenne prime
2. Fermat prime
A Mersenne prime number should be reducible to the form 2n – 1, where n will be the prime number and the number formed itself is also a prime number. Mersenne primes are not easy to form and the first few prime numbers that gave us Mersenne primes are n = 2, 3, 5, 7, 13, 17, 19, 31, 61, 89.
Fermat prime is a Fermat number that is also a prime number. The Fermat number Fn is of form 2m+1, where m = 2n where n is an integer.
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Know more :
• The number 2 is the only known even prime number. The remaining of the even numbers are divisible by 2, so they are not prime.
• A number is divisible by 3 if the sum of its digits is divisible by 3.
• All numbers greater than 5 that ends with a 0 or a 5 are not prime as they are divisible by 5.
• 0 and 1 are not prime numbers.
• 0 and 1 are the only numbers that are neither prime nor composite. Excluding them, every other number is either a prime number or a composite number.