Tier 2 to ILR 5 years period questions

Hi all gurus,

I applied for my first Tier 2 visa in 2013 but got refused.

Long story short:

2013 Refused Tier 2
2013 - 2014 Appealing
2014 Appeal allowed
May 2014 granted Tier 2 for 2 months till July 2014 (as my original CoS has expired during the appealing process, so they granted me 2 months leave to re-apply)
August 2014 - granted tier 2 to July 2019

So I've had 2 Tier 2 visas, one was temporary, one was for 5 years.

I'm just wondering when I can start applying my ILR? Would my first Tier 2 visa count towards my 5 years period?

Many thanks!