The 2012 S Silver and the 2013 S Silver proof sets had a very low mintage. To put it in perspective, here is a list of the silver proof mintage numbers that I pulled from a website:
Silver Proof Set Mintage
1976 3,998,621
1992 1,009,586
1993 570,213
1994 636,009
1995 549,878
1996 623,655
1997 605,473
1998 638,134
1999 804,565
2000 965,421
2001 889,697
2002 892,229
2003 1,125,755
2004 1,175,934
2005 1,069,679
2006 1,054,008
2007 875,050
2008 763,887
2009 697,365
2010 585,401
2011 574,175
2012 395,443
2013 419,720
The numbers dropped off quite a bit in 2012, and 2013 is not too far behind. I have seen them for sale at a few coin shows and shops, but they are usually more than $20 for just one proof dime. I have been holding out for a better price to grab them for Steve, and I think a few better priced ones will fall through the cracks eventually. All of the proof stuff from 2012 is relatively expensive compared to the other years.