# Large Fibonacci Numbers in Java

Given a number n, find n-th Fibonacci Number. Note that n may be large.

**Examples:**

Input : 100 Output : 354224848179261915075 Input : 500 Output : 139423224561697880139724382870 407283950070256587697307264108962948325571622 863290691557658876222521294125

**Prerequisite: **BigInteger Class in Java, Fibonacci numbers

Fibonacci of large number may contain more than 100 digits, it can be easily handled by BigInteger in Java. BigInteger class is used for the mathematical operation which involves very big integer calculations that are outside the limit of all available primitive data types.

## JAVA

`// Java program to compute n-th Fibonacci` `// number where n may be large.` `import` `java.io.*;` `import` `java.util.*;` `import` `java.math.*;` ` ` `public` `class` `Fibonacci` `{` ` ` `// Returns n-th Fibonacci number` ` ` `static` `BigInteger fib(` `int` `n)` ` ` `{` ` ` `BigInteger a = BigInteger.valueOf(` `0` `);` ` ` `BigInteger b = BigInteger.valueOf(` `1` `);` ` ` `BigInteger c = BigInteger.valueOf(` `1` `);` ` ` `for` `(` `int` `j=` `2` `; j<=n ; j++)` ` ` `{` ` ` `c = a.add(b);` ` ` `a = b;` ` ` `b = c;` ` ` `}` ` ` ` ` `return` `(b);` ` ` `}` ` ` ` ` `public` `static` `void` `main(String[] args)` ` ` `{` ` ` `int` `n = ` `100` `;` ` ` `System.out.println(` `"Fibonacci of "` `+ n +` ` ` `"th term"` `+ ` `" "` `+` `"is"` `+` `" "` `+ fib(n));` ` ` `}` `}` |

**Output**

Fibonacci of 100th term is 354224848179261915075

Note that the above solution takes O(n) time, we can find the n-th Fibonacci number in O(log n) time. As an exercise, find the n-th Fibonacci number for large n in O(log n) time.

This article is contriBigInteger.valueOf (1);but by **Pramod Kumar**. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks’ main page and help other Geeks.

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