Heat oven to 450° F. Place the potatoes in a shallow roasting pan. In a small bowl, whisk together the oil and vinegar. Drizzle the mixture over the potatoes and toss well. Combine the salt, pepper, and paprika in a small bowl. Sprinkle the mixture over the potatoes and toss to coat. Spread the potatoes in a single layer. Roast until the potatoes are crisp and golden, about 1 hour. Serve hot with the mayonnaise.