How could I display the values ​​of a table starting from a primary id?

What I want is:

Let's take for a case that I have the following table:

|  id  |  lux  |
|------|-------|
|   1  |  22.5 |
|   2  |  23.5 |
|   3  |  25.5 |
|   4  |  27.5 |
|   5  |  23.5 |
|   6  |  24.5 |
|   7  |  24.5 |
|   8  |  22.5 |
|   9  |  29.5 |
|  10  |  21.5 |

Well, what I want is for the client to send the value of the idplus the number of values ​​to show from thatid , I will explain myself with a better example:

Let's assume that we get the id from the client with a value of 4 and an amount of 5 , since I want the following 5 values ​​to be returned to the given id , which the server should return to me:

|   4  |  27.5 |
|   5  |  23.5 |
|   6  |  24.5 |
|   7  |  24.5 |
|   8  |  22.5 |

The code I have so far with PHP is the following:

$servername = "localhost";
$username = "username";
$password = "password";
$db = "meteo";

$quantity = intval($_POST["quantity"]); //Este sería el valor de la id
$current = intval($_POST["current"]); //Este sería el valor de la cantidad

$conn = new mysqli($servername, $username, $password, $db);

if ($conn->connect_error) {
    die("Connection failed: " . $conn->connect_error);
} else {

    $sql = "SELECT temp1, temp2, lux, date FROM records";
    $result = $conn->query($sql);


    if ($result->num_rows > 0) {

        $i = $current;
        $param = array();

        while ($row = $result->fetch_assoc()) {

            if ($i >= $current+$quantity) {
                break;
            }

            $param[$i] = array($row["temp1"],$row["temp2"],$row["lux"], $row["date"]);
            $i++;
        }

        echo json_encode($param);

    } else {
        echo null;
    } 
}

As you can see, I have already tried to do what I wanted, but of course, I realized that when I consulted, for example, 100 new values ​​in the client, it returned the same ones again , when in reality they should be the 100 values ​​following the idgiven by the client .

I would appreciate any help possible.