Java: Display first 10 Fermat numbers

Last update on March 11 2025 11:10:06 (UTC/GMT +8 hours)

First 10 Fermat Numbers

Write a Java program to display the first 10 Fermat numbers.

In mathematics, a Fermat number is a positive integer of the form

where n is a nonnegative integer.
The first few Fermat numbers are:
3, 5, 17, 257, 65537, 4294967297, 18446744073709551617, …

Pictorial Presentation:

Sample Solution:

Java Code:

import java.util.Scanner;
public class Example20 {
      
public static void main( String args[] ){ 
        int n = 0;        
        double result;
        
        while (n <= 10) {
            result= Math.pow (2, Math.pow(2, n)) + 1;
            n++;
            System.out.println (result);
        }
     }  
}

Sample Output:

3.0                                                                                                  
5.0                                                                                                  
17.0                                                                                                  
257.0                                                                                                  
65537.0                                                                                                  
4.294967297E9                                                                                                 
1.8446744073709552E19                                                                                         
3.4028236692093846E38                                                                                         
1.157920892373162E77                                                                                          
1.3407807929942597E154                                                                                        
Infinity 

Flowchart:

For more Practice: Solve these Related Problems:

• Write a Java program to generate Fermat numbers using the formula 2^(2^n) + 1 for n starting at 0.
• Write a Java program to compute Fermat numbers iteratively and handle potential overflow using BigInteger.
• Write a Java program to display Fermat numbers with formatted scientific notation for large values.
• Write a Java program to compare the growth of Fermat numbers with standard exponential functions over the first 10 terms.

Java Code Editor:

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