How many Jews are there in Iraq?

According to a piece in the Jewish Daily Forward written by Maia Efrem 09 February 2011, 37 (thirty-seven[sic]) Jewish-Americans died in Iraq and Afghanistan, but it is unclear whether they are including Jewish combat deaths (if any) from the 1991 Gulf War, as well.

It is interesting that I am the only person who attempted to answer this. I wonder why?