# [MathGolf](https://github.com/maxbergmark/mathgolf/blob/master/create_explanation.py), 10 [bytes](https://github.com/maxbergmark/mathgolf/blob/master/code_page.py)

    ∞╒g¶áÅ-±├Þ

[Try it online.](https://tio.run/##ATEAzv9tYXRoZ29sZv//4oie4pWSZ8K2w6HDhS3CseKUnMOe//84MAoxMDAKNQo5CjUzMgox)

**Explanation:**

<!-- language-all: lang-python -->

    ∞            # Double the (implicit) input-integer
     ╒           # Create a list in the range [1, 2*n]
      g¶         # Filter so only the prime numbers remain
        áÅ       # Sort this list using the next two character:
          -±     #  The absolute difference with the (implicit) input-integer
            ├    # Push the first item of the list
                 # (unfortunately without popping the list itself, so:)
             Þ   # Discard everything from the stack except for the top
                 # (which is output implicitly as result)