I've just checked a Sky+HD remove (Rev9f) with a whole bunch of Panasonic codes. Most worked, some didn't, but that was to be expected because the memory in a Sky remote isn't unlimited. Certainly if I was sat in front of your TV now, I'd have it working from the Sky remote I have here.
Ten or more years ago I bought a Panasonic TX-37PX80 for my father-in-law. He has used that with Sky+, Sky+HD and now Sky Q. All of the Sky remotes have all had a suitable code for the 37" version of your TV. It's the same code. In fact, it's the same code for a vast swathe of Panasonic TVs.
There are two versions of codes. 3-digit, and 4-digit. The programming method is slightly different because 3-digit requires an extra key press.
When entering a 4-digit code, any zeros have to be entered too. For example, 0051 is entered 0-0-5-1 not just 5-1.
Take your Sky remote. Open the battery compartment. If it's a genuine Sky remote then there should be a revision number on a label inside. The one I have here reads Rev9f. Put in fresh AA batteries. Replace the cover.
On your Sky box remote, find the buttons marked
TV,
Select, and the
red coloured button. These, along with the 0~9 number pad, are the ones you'll use for programming.
4-digit code programming (using code 1664 as the example)
In this sequence, press
TV
Now hold down the
red coloured button and
Select at the same time until the LED flashes twice. If it doesn't flash twice, go back and try this again
Key in 1-6-6-4. The red LED should flash twice if the remote has that code in its memory. If it does, then the remote is now programmed. If it doesn't, go to the 3-digit code programming.
Here's a list of 4-digit codes for Panasonic. The ones in red don't work for a Rev9f remote, but may work for earlier and later versions.
0051
0136
0678
0878
1177
1664
1678
1695
3747
3-digit code programming
Here, the difference is that you press
Select after the code entry to confirm. Without pressing
Select, the remote isn't correctly programmed.
press
TV
Now hold down the
red coloured button and
Select at the same time until the LED flashes twice. If it doesn't flash twice, go back and try this again
key in the 3-digit code, then press
Select. The red LED should flash twice for an acceptable code, or once with a slightly longer duration than for normal key presses if the code you just tried isn't in the memory.
Here's a list of 3-digit codes for Panasonic. The ones in red don't work for a Rev9f remote, but may work for earlier and later versions.
128
154
191
241
242
254
278
368
395
585
678
Apologies if this comes across as teaching you to suck eggs, but there are thousands of Panasonic TVs being used with all sorts of versions of Sky, and the Sky remotes are programmed without issue to work the TVs. However, occasionally things don't go quite as smoothly.
Often there's a reason such as the batteries were weak, or an essential key press was missed, or maybe the reader interpreted the instructions in a different way than the author intended, or there's some issue with copy remotes. Occasionally it's something more technical such as a TV that can work from two or three different code sets to avoid clashes with other equipment. If one such remote and TV have been changed from the default to "code 2" or "code 3" then any sort of universal remote isn't going to work unless it is reprogrammed to match. Once these glitches are sorted out though, then it's very unusual for a common core TV not to work with a Sky remote.
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