I documented my first experience of this on my blog page.
I have always found it a challenge to embed a slideshow of a Flickr Set which runs on my iPhone. Strange because if I go into Flickr on my iPhone or iPad then slideshows will work, using something they refer to as a Lightbox but to date have not found a way to embed this onto web page.
I have found a useful work around using the free services of slidemypics.
The following SlideMyPics has following options
Large (720x482)
Fade (which also adds filename as a caption)
Widget
This size does not work well on my iPhone. Strangely if I opt for web on my iPhone and then use pinch gesture to reduce size then it works much better. The medium size works much better on my iP{hone 5.