The safe number of miles you can go over the recommended oil change interval depends on the type of oil, driving conditions, and your vehicle's manufacturer recommendations. Generally:

• For conventional oil, going over 1,000 miles past the recommended interval can increase engine wear.
• For synthetic oil, which lasts longer, going 1,500 to 2,000 miles past the recommended interval is possible, but not ideal.
• A few hundred miles over the interval is usually not harmful, but routinely exceeding recommended changes by thousands of miles can lead to engine damage.
• Modern vehicles with synthetic oils and oil life monitoring systems often recommend oil changes every 7,500 to 10,000 miles or more, sometimes up to 15,000 miles for certain vehicles.
• Driving conditions such as frequent short trips, extreme temperatures, or towing might require more frequent oil changes.

In summary, it is generally safe to go a few hundred miles over the oil change interval, especially if using synthetic oil, but consistently pushing beyond 1,000-2,000 miles over the interval risks engine health. Always follow the vehicle manufacturer's guidelines for the safest practice.