prime3 is where the Stream is computed, using the prime predicate to check for all prime divisors less than the square root of i. 0 is not a prime number because it is divisible by an infinite number of positive integers. 1 is not a prime number because 1 is divisible by one positive integer, 1. Even composite numbers are all even numbers and are not prime. A Prime number is a number that is divisible by 2 positive integers - itself and one.
9, 15, 21, 25, 27, etc, are examples of composite odd numbers. Odd composite numbers are all the odd integers that are not prime. Prime.is is the prime check predicate, and Prime.primes returns a Stream of all prime numbers. There are 74 numbers between the 1 to 100 composite numbers. For example, 7 is a prime number and 77 is a composite number as it has more than two factors which are 1, 7, 11, and 77. So prime number has two factor one is 1 another is number itself. For example n is prime, if n can only be divided by 1 and n. This means that you will have a long call stack and so findPrime will not work for large i. But composite numbers 1 to 100 contain all the numbers till 100 that has more than two factors. A prime number is an positive integer that has no divisors except one and itself or can only be exactly divided by the integers 1 and itself without leaving a remainder. In this program, we need to print the prime numbers between 1 and 100 only. A tail recursive function does not modify the result of the recursive call-in your example you prepend to the result of the recursive call. Program to print all prime numbers between 1 and 100 Prime Numbers: Prime numbers are the natural numbers that can be divided by their self or by 1 without any remainder. You need to watch out however-your recursive function is not tail recursive. To keep it organized, I divide it into ten (10) sections or groups. Although the Sieve of Eratosthenes is a very efficient way to find prime numbers, your approach works well too, since you are only testing for division against known primes. Below is a list of prime numbers up to 10,000 or between 1 and 10,000.