## Next Prime (Hard)

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Points:15

Time limit:2.0s

Memory limit:64M

Problem type

Allowed languages

Ada, Assembly, Awk, Brain****, C, C++, COBOL, CommonLisp, Dart,
~~Erlang~~,
~~Forth~~, Fortran,
~~Intercal~~,
~~Octave~~, Pascal, Prolog,
~~R~~, Racket, Rust, Scheme, Sed, TCL, Text, Turing, VB

##### Brute Force Practice 3 — Hard Version

You love prime numbers. You own a number, but you suspect it might not be prime. You want a prime number, but it must be at least as large as the number you currently own. Find the smallest number that satisfies those conditions.

#### Input

The first line will have the integer ()

#### Output

Print the number you want.

#### Sample Input

```
4
```

#### Sample Output

```
5
```

## Comments

What is submitting code in python not allowed for this problem?

Partial output is disabled for this problem.