2 -- Since 1980, the total number of playoff series the Flyers have won in the nine postseasons following one which saw them reach the conference finals or better.
After the jump, a graph! Yes, I know what numbers are!
Click on the above to make it big and legible. For some reason, the Y-axis label disappeared, but it is the percentage of the path to the Cup that the Flyers completed in a given year. For example, the Flyers won 14 of the 16 playoff games necessary to win the Stanley Cup in 2010, so the value for that year is 14/16 = 87.5%.
Basic idea: sharp peaks after failure, sharp drop-offs after success.