Issues with running a code on Arduino Mega which works on Arduino Uno

For some reason I cant seem to get a prompt back from the Serial monitor as it is supposed to to when connected to the Arduino Mega, I tested it with the Arduino Uno and it worked perfectly. Would you guys know any differences between the two that I could be missing. For simplicity sake here’s the code I’m trying to run

/*
Example Bluetooth Serial Passthrough Sketch
by: Jim Lindblom
SparkFun Electronics
date: February 26, 2013
license: Public domain

This example sketch converts an RN-42 bluetooth module to
communicate at 9600 bps (from 115200), and passes any serial
data between Serial Monitor and bluetooth module.
*/
#include <SoftwareSerial.h>

int bluetoothTx = 2; // TX-O pin of bluetooth mate, Arduino D2
int bluetoothRx = 3; // RX-I pin of bluetooth mate, Arduino D3

SoftwareSerial bluetooth(bluetoothTx, bluetoothRx);

void setup()
{
Serial.begin(9600); // Begin the serial monitor at 9600bps

bluetooth.begin(115200); // The Bluetooth Mate defaults to 115200bps
bluetooth.print("$"); // Print three times individually
bluetooth.print("$");
bluetooth.print("$"); // Enter command mode
delay(100); // Short delay, wait for the Mate to send back CMD
bluetooth.println(“U,9600,N”); // Temporarily Change the baudrate to 9600, no parity
// 115200 can be too fast at times for NewSoftSerial to relay the data reliably
bluetooth.begin(9600); // Start bluetooth serial at 9600
}

void loop()
{
if(bluetooth.available()) // If the bluetooth sent any characters
{
// Send any characters the bluetooth prints to the serial monitor
Serial.print((char)bluetooth.read());
}
if(Serial.available()) // If stuff was typed in the serial monitor
{
// Send any characters the Serial monitor prints to the bluetooth
bluetooth.print((char)Serial.read());
}
// and loop forever and ever!
}

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From the SoftwareSerial library documentation:
https://www.arduino.cc/en/Reference/SoftwareSerial

Not all pins on the Mega and Mega 2560 support change interrupts, so only the following can be used for RX: 10, 11, 12, 13, 14, 15, 50, 51, 52, 53, A8 (62), A9 (63), A10 (64), A11 (65), A12 (66), A13 (67), A14 (68), A15 (69).