Quick ways to check for Prime and find next Prime in Java Last Updated : 28 Mar, 2023 Summarize Comments Improve Suggest changes Share Like Article Like Report Many programming contest problems are somehow related Prime Numbers. Either we are required to check Prime Numbers, or we are asked to perform certain functions for all prime number between 1 to N. Example: Calculate the sum of all prime numbers between 1 and 1000000. Java provides two function under java.math.BigInteger to deal with Prime Numbers. isProbablePrime(int certainty): A method in BigInteger class to check if a given number is prime. For certainty = 1, it return true if BigInteger is prime and false if BigInteger is composite. Below is Java program to demonstrate above function. Java // A Java program to check if a number is prime using // inbuilt function import java.util.*; import java.math.*; public class CheckPrimeTest { //Function to check and return prime numbers static boolean checkPrime(long n) { // Converting long to BigInteger BigInteger b = new BigInteger(String.valueOf(n)); return b.isProbablePrime(1); } // Driver method public static void main (String[] args) throws java.lang.Exception { long n = 13; System.out.println(checkPrime(n)); } } Outputtrue Time Complexity: O(1). The time complexity of this algorithm is O(1), since the BigInteger.isProbablePrime() method takes constant time to check the primality of a number. Space Complexity: O(1). The space complexity of this algorithm is also O(1). We only use a single variable to store the number, which is constant space. nextProbablePrime() : Another method present in BigInteger class. This functions returns the next Prime Number greater than current BigInteger. Below is Java program to demonstrate above function. Java // Java program to find prime number greater than a // given number using built in method import java.util.*; import java.math.*; class NextPrimeTest { // Function to get nextPrimeNumber static long nextPrime(long n) { BigInteger b = new BigInteger(String.valueOf(n)); return Long.parseLong(b.nextProbablePrime().toString()); } // Driver method public static void main (String[] args) throws java.lang.Exception { long n = 14; System.out.println(nextPrime(n)); } } Output17 Time complexity: O(1)Space complexity: O(1) Comment More infoAdvertise with us Next Article Tips and Tricks to Check for Prime K kartik Improve Article Tags : Java Prime Number Practice Tags : JavaPrime Number Similar Reads Check if a number is Quartan Prime or not Given a positive integer N, check if it is Quartan prime or not. Print 'Yes' if it is a Quartan prime otherwise Print 'No'.Quartan Prime : A prime number of the form x4 + y4 where x > 0, y > 0, and x and y are integers is a Quartan Prime. Quartan Prime in the range 1 - 100 are: 2, 17, 97 Examp 6 min read Check if a number is Primorial Prime or not Given a positive number N, the task is to check if N is a primorial prime number or not. Print 'YES' if N is a primorial prime number otherwise print 'NO.Primorial Prime: In Mathematics, A Primorial prime is a prime number of the form pn# + 1 or pn# - 1 , where pn# is the primorial of pn i.e the pro 10 min read Check if N is a Weak Prime number or not Given a positive integer N, the task is to check if N is a weak Prime or not. In number theory, a weak prime is a prime number that is less than the arithmetic mean of nearest prime numbers i.e next and previous prime numbers.First few weak prime numbers are 3, 7, 13, 19, 23, 31, 43, 47, 61, â¦A weak 8 min read R program to find prime and composite numbers in an interval A natural number (1, 2, 3, 4, 5 and so on) is called a prime number if it is greater than 1 and cannot be written as the product of two smaller natural numbers. The numbers greater than 1 that are not prime are called composite numbers. A composite number is a positive integer that can be formed by 7 min read Tips and Tricks to Check for Prime Checking for a large number whether it is prime or not can be difficult. This is so difficult that RSA algorithm uses this fact to encrypt data on Internet. However there are certain trick that we can use. The idea is reduce the number faster using divisibility rules. 1. If the given number has 0s a 2 min read Different Methods to Check if a Number is Prime Prime numbers are the natural numbers greater than 1, that have no positive divisors other than 1 and itself. In other words, a prime number can only be divided evenly (without a remainder) by 1 and the number itself.We can also use the following calculator to check if any number is prime or composi 5 min read Like