MONTREAL—Almost 4,000 Quebec government websites were shut down over the weekend as a preventative measure following threats of a cyberattack, the province’s minister of digital transformation said Sunday. Eric Caire made the announcement at an afternoon press conference in Quebec City, during which he said all official government websites would be taken offline until further notice. “We’re kind of looking for a needle in a haystack,” Caire said. “Not knowing which websites use the software, we decided to shut them all.” The closure comes on the heels of a recently discovered software vulnerability in a Java-based library of an Apache product—known as Log4j—which the Department of National Defence said could affect thousands of organizations worldwide. The Common Vulnerability Scoring System, also used widely around the world, has assessed the current threat at a 10 out of 10. Caire said Quebec learned of the issue on Friday and has been working …