Some Calendar Stuff

R' Ari Enkin at Hirhurim tells us that we hadn't had a Friday 10th of Tevet in 10 years (5761).  He mentions the years that we will next be commemorating Asara BeTevet on a Friday as being: 5771, 5774, 5781, 5784, 5785, 5795, 5798.

There is another rare occurrance that happens about the same time of year: i.e. A Shabbat Parshat Miketz that does NOT fall out on Hanukka.  This too last happened 10 years ago (5761), and this will not happen again for another 10 years (5781).  5781 is on the list for a Friday Asara BeTevet. 

So, I was wondering if the list of Shabbat Parshat Mikketz not falling on Hanukka is a subset of the list of Friday Asara BeTevets. This theory seems to be correct. See the table below.

May we soon not have to fast on Asara BeTevet any longer.

Year	Asara BeTevet Friday	Shabbat Parshat Miketz NOT on Hanukka
5757	Yes	Yes
5758	No	No
5759	No	No
5760	No	No
5761	Yes	Yes
5762	No	No
5763	No	No
5764	No	No
5765	No	No
5766	No	No
5767	No	No
5768	No	No
5769	No	No
5770	No	No
5771	Yes	No
5772	No	No
5773	No	No
5774	Yes	No
5775	No	No
5776	No	No
5777	No	No
5778	No	No
5779	No	No
5780	No	No
5781	Yes	Yes
5782	No	No
5783	No	No
5784	Yes	Yes
5785	Yes	No
5786	No	No
5787	No	No
5788	No	No
5789	No	No
5790	No	No
5791	No	No
5792	No	No
5793	No	No
5794	No	No
5795	Yes	No
5796	No	No
5797	No	No
5798	Yes	No
5798	No	No
5799	No	No
5800	No	No
5801	Yes	Yes