Just Smile,
I hate to burst your bubble, but…
Firstly, Birchas HaChamah was not recited in the year the Jews left Egypt, nor was it recited in the year that the miracle of Purim occurred. Simply doing the math (using an Excel spreadsheet should make it easier) will show you this.
Secondly, Birchas HaChamah comes out Erev Pesach, not the first day. The first day of Pesach is Thursday. Birchas HaChamah must always be on a Wednesday.
Thirdly, Birchas HaChamah was last on Erev Pesach only 83 years ago, in 1925.
The Wolf