Java BigInteger isProbablePrime() Method

The isProbablePrime() method of Java BigInteger class is used to determine if the given number is prime or not. For certainty =1, this method returns true if this BigInteger is prime and false if this BigInteger is composite.

Syntax:

Parameter:

certainty - A measure of the uncertainty that the caller is willing to tolerate: if the call returns true the probability that this BigInteger is prime exceeds (1 - 1/2^certainty). The execution time of this method is proportional to the value of this parameter.

Returns:

This method returns true if this BigInteger is probably prime, false if it's definitely composite.

Exception:

Note: If certainty is ≤ 0, this method returns true.

Example 1

import java.math.BigInteger;
public class BigIntegerIsProbablePrimeExample1{
public static void main(String[] args){
// create a BigInteger object
BigInteger big1;
//create 3 boolean objects
Boolean bool1, bool2, bool3;
// assign value to big1
big1= new BigInteger("5"); 
// perform isProbablePrime on big1 
// with certainty 1,0,-1
bool1= big1.isProbablePrime (1);  
bool2= big1.isProbablePrime (0);   
bool3= big1.isProbablePrime (-1); 
 
String str1=big1 +" is prime with certainty 1 is "+ bool1;
String str2=big1 +" is prime with certainty 0 is "+ bool2;
String str3=big1 +" is prime with certainty -1 is "+ bool3;
System.out.println(str1);
System.out.println(str2);   
System.out.println(str3);   

}
}

Test it Now

Output:

5 is prime with certainty 1 is true
5 is prime with certainty 0 is true
5 is prime with certainty -1 is true

Example 2

import java.math.BigInteger;
public class BigIntegerIsProbablePrimeExample2{
public static void main(String[] args){
// create a BigInteger object
BigInteger big1;
//create 3 boolean objects
Boolean bool1, bool2, bool3; 
// assign value to big1
big1= new BigInteger("8"); 
// perform isProbablePrime on big1
// with certainty 1, 0, -1 
bool1= big1.isProbablePrime (1);   
bool2= big1.isProbablePrime (0);   
bool3= big1.isProbablePrime (-1);   
String str1 =big1 +" is prime with certainty 1 is "+ bool1; 
String str2 =big1 +" is prime with certainty 0 is "+ bool2;
String str3 =big1 +" is prime with certainty -1 is "+ bool3;
System.out.println(str1); 
System.out.println(str2);   
System.out.println(str3);   

}
}

Test it Now

Output:

8 is prime with certainty 1 is false
8 is prime with certainty 0 is true
8 is prime with certainty -1 is true

Example 3

import java.math.BigInteger;
public class BigIntegerIsProbablePrimeExample3{
public static void main(String[] args){
// create a BigInteger object
BigInteger big1;
//create 3 boolean objects
Boolean bool1,bool2,bool3;
// assign value to big1
big1= new BigInteger("9"); 
// perform isProbablePrime on big1
// with certainty 1,0,-1 
bool1= big1.isProbablePrime (1);   
bool2= big1.isProbablePrime (0);   
bool3= big1.isProbablePrime (-1);   

String str1 =big1 +" is prime with certainty 1 is "+ bool1;
String str2 =big1 +" is prime with certainty 0 is "+ bool2;
String str3 =big1 +" is prime with certainty -1 is "+ bool3;
System.out.println(str1); 
System.out.println(str2);   
System.out.println(str3);   

}
}

Test it Now

Output:

9 is prime with certainty 1 is false
9 is prime with certainty 0 is true
9 is prime with certainty -1 is true

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Java BigInteger isProbablePrime() Method

Syntax:

Parameter:

Returns:

Exception:

Note: If certainty is ≤ 0, this method returns true.

Example 1

Example 2

Example 3