* Some PHP 5 versions are bugged and prevent PrestaShop from working correctly:
- PHP 5.2.1 (authentication is impossible)
- PHP 5.2.6 (authentication is impossible under 64bits servers)
- PHP 5.2.9 (image management/upload broken)
- PHP < 5.2 (invalid date timezone)

** PrestaShop is working from MySQL 4.1.14 to 5.0 too but some features are not working (e.g., product duplication) or have strange behaviors

Source : la page de téléchargement de prestashop.