What versions of iOS run on iPhone 4s?
Check out this list. Remember if the iphone 4s is on these versions it will run. if you update then you have to run the latest
Latest Versions
iOS 9.3.5 (13G36)
08/25/2016
1.50 GB
iPhone4,1_9.3.5_13G36_Restore.ipsw
iOS 6.1.3 (10B329)
03/13/2013
920.31 MB
iPhone4,1_6.1.3_10B329_Restore.ipsw
Old Versions
iOS 9.3.4 (13G35)
08/04/20161.50 GB
iPhone4,1_9.3.4_13G35_Restore.ipsw
iOS 9.3.3 (13G34)
07/18/20161.50 GB
iPhone4,1_9.3.3_13G34_Restore.ipsw
iOS 9.3.2 (13F69)
05/16/20161.50 GB
iPhone4,1_9.3.2_13F69_Restore.ipsw
iOS 9.3.1 (13E238)
03/31/20161.50 GB
iPhone4,1_9.3.1_13E238_Restore.ipsw
iOS 9.3 (13E237)
03/28/20161.50 GB
iPhone4,1_9.3_13E237_Restore.ipsw
iOS 9.3 (13E233)
03/21/20161.50 GB
iPhone4,1_9.3_13E233_Restore.ipsw
iOS 9.2.1 (13D15)
01/19/20161.48 GB
iPhone4,1_9.2.1_13D15_Restore.ipsw
iOS 9.2 (13C75)
12/08/20151.48 GB
iPhone4,1_9.2_13C75_Restore.ipsw
iOS 9.1 (13B143)
10/21/20151.47 GB
iPhone4,1_9.1_13B143_Restore.ipsw
iOS 9.0.2 (13A452)
09/30/20151.47 GB
iPhone4,1_9.0.2_13A452_Restore.ipsw
iOS 9.0.1 (13A404)
09/23/20151.47 GB
iPhone4,1_9.0.1_13A404_Restore.ipsw
iOS 9.0 (13A344)
09/16/20151.47 GB
iPhone4,1_9.0_13A344_Restore.ipsw
iOS 8.4.1 (12H321)
08/13/20151.45 GB
iPhone4,1_8.4.1_12H321_Restore.ipsw
iOS 8.4 (12H143)
06/30/20151.45 GB
iPhone4,1_8.4_12H143_Restore.ipsw
iOS 8.3 (12F70)
04/08/20151.44 GB
iPhone4,1_8.3_12F70_Restore.ipsw
iOS 8.2 (12D508)
03/09/20151.46 GB
iPhone4,1_8.2_12D508_Restore.ipsw
iOS 8.1.3 (12B466)
01/27/20151.45 GB
iPhone4,1_8.1.3_12B466_Restore.ipsw
iOS 8.1.2 (12B440)
12/09/20141.45 GB
iPhone4,1_8.1.2_12B440_Restore.ipsw
iOS 8.1.1 (12B435)
11/17/20141.45 GB
iPhone4,1_8.1.1_12B435_Restore.ipsw
iOS 8.1 (12B411)
10/20/20141.66 GB
iPhone4,1_8.1_12B411_Restore.ipsw
iOS 8.0.2 (12A405)
09/26/20141.65 GB
iPhone4,1_8.0.2_12A405_Restore.ipsw
iOS 8.0.1 (12A402)
09/24/20141.65 GB
iPhone4,1_8.0.1_12A402_Restore.ipsw
iOS 8.0 (12A365)
09/17/20141.62 GB
iPhone4,1_8.0_12A365_Restore.ipsw
iOS 7.1.2 (11D257)
06/30/20141.22 GB
iPhone4,1_7.1.2_11D257_Restore.ipsw
iOS 7.1.1 (11D201)
04/22/20141.22 GB
iPhone4,1_7.1.1_11D201_Restore.ipsw
iOS 7.1 (11D167)
03/10/20141.22 GB
iPhone4,1_7.1_11D167_Restore.ipsw
iOS 7.0.6 (11B651)
02/21/20141.18 GB
iPhone4,1_7.0.6_11B651_Restore.ipsw
iOS 7.0.4 (11B554a)
11/14/20131.18 GB
iPhone4,1_7.0.4_11B554a_Restore.ipsw
iOS 7.0.3 (11B511)
10/22/20131.18 GB
iPhone4,1_7.0.3_11B511_Restore.ipsw
iOS 7.0.2 (11A501)
09/26/20131.18 GB
iPhone4,1_7.0.2_11A501_Restore.ipsw
iOS 7.0 (11A465)
09/18/20131.18 GB
iPhone4,1_7.0_11A465_Restore.ipsw
iOS 6.1.2 (10B146)
02/16/2013920.01 MB
iPhone4,1_6.1.2_10B146_Restore.ipsw
iOS 6.1.1 (10B145)
02/08/2013920.09 MB
iPhone4,1_6.1.1_10B145_Restore.ipsw
iOS 6.1 (10B142)
01/24/2013919.94 MB
iPhone4,1_6.1_10B142_Restore.ipsw
iOS 6.0.1 (10A523)
10/29/2012912.70 MB
iPhone4,1_6.0.1_10A523_Restore.ipsw
iOS 6.0 (10A403)
09/13/2012912.71 MB
iPhone4,1_6.0_10A403_Restore.ipsw
iOS 5.1.1 (9B206)
04/27/2012802.77 MB
iPhone4,1_5.1.1_9B206_Restore.ipsw
iOS 5.1 (9B179)
02/29/2012802.95 MB
iPhone4,1_5.1_9B179_Restore.ipsw
iOS 5.0.1 (9A406)
12/08/2011810.55 MB
iPhone4,1_5.0.1_9A406_Restore.ipsw
iOS 5.0.1 (9A405)
11/07/2011812.98 MB
iPhone4,1_5.0.1_9A405_Restore.ipsw
iOS 5.0 (9A334)
10/07/2011796.79 MB
iPhone4,1_5.0_9A334_Restore.ipsw
Hope this helps