In 2004, the number of days in each month was 1, 29,3 1, 30,31,30,31,31,and the total number of days in the first seven months was 265438.

2 13 divided by 7 has a remainder of 3, and 244 divided by 7 has a remainder of 6.

According to the title, the date of June 65438+1 October12004 is Thursday, so the date of July 3 1 is Sunday.

August 3 1 is Wednesday, and the number of days when August 3 1 is divided by 7 is 4 more than 3.

Therefore, the number of Tuesday and Saturday in August is 4× 2+ 1 = 9.

So Xiao Ming can swim nine times in August.