It should be:
cursor.execute ("""
UPDATE tblTableName
SET Year=%s, Month=%s, Day=%s, Hour=%s, Minute=%s
WHERE Server=%s
""", (Year, Month, Day, Hour, Minute, ServerID))
You can also do it with basic string manipulation,
cursor.execute ("UPDATE tblTableName SET Year=%s, Month=%s, Day=%s, Hour=%s, Minute=%s WHERE Server='%s' " % (Year, Month, Day, Hour, Minute, ServerID))
but this way is discouraged because it leaves you open for SQL Injection. As it's so easy (and similar) to do it the right waytm, do it correctly.
The only thing you should be careful, is that some database backends don't follow the same convention for string replacement (SQLite comes to mind).