Create a seamless pattern design for socks featuring vibrant green shamrocks of varying sizes scattered across a clean white background. The shamrocks should have a natural yet slightly stylized look, with some appearing solid green and others having a subtle gradient or outlined details. The placement should be organic and evenly distributed, ensuring the pattern remains visually appealing when wrapped around the sock. The design should evoke a festive and lucky St. Patrick’s Day vibe while maintaining a modern and stylish aesthetic suitable for casual wear."