Java: Display first 10 Fermat numbers
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:
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.
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