Among Norway coin collectors, there is a list circulating of all known overdates (PM me if you'd like it). That list includes a "1965/4" Øre. No diagnostics were provided, but I believe I have found the variety: It's pretty easy to see there's another digit crossing below the final 5--but is it really a 4? Also, see how the "6" appears to be repunched with a shorter, more tightly curled top stroke--light arrow? So perhaps two styles of "65" punches were involved here? Clearly, something is going on, but is it a "4" or just a different style of "5" with a sloped vertical stroke? To answer that question, I compared this coin to a 1964, measuring the angle of the tilted stroke under the "5" to the diagonal stroke on a 4. Granted, I'm using a highly enlarged picture for the 1964, but there's clearly a difference in the angles--possibly by as much as 15 degrees: From simple measurement of these angles, it's difficult to conclude this is a 1965/4 overdate. It could just be retooling, repunching, or even rehubbing of the die with a new digit style. From what presents on the coin, it's reasonable to conclude that dies between 1964 and 1965 were reworked. Perhaps even a master die/hub was reworked, although my research at the Kongsberg mint suggests the last two digits were added after hubbing well into the 60s. From the pictures alone, it can be seen that both the "64" and "65" are different sizes from the "19", which may be evidence of dating hubs continued to this date.
I suspect 1965/1965 if authentic , and I have no visible reason to think it isn't. I can't justify a '4' in the mix
I think US coins have the greatest interest in RPDs. Some have high premiums like the Indian Head 1894/1894, but many overdates surpass in collector interest/value. RPDs are so prevalent in some series that they don't have much extra value, even with some collector interest. While the RPDs below are relatively dramatic, there isn't a big collector demand for them in Norway. Among Scandinavian collectors, the market for overdates is probably biggest in Sweden. Three 5 Øre coins from Norway showing repunching. Just for fun, here's an 1 Eyrir coin from Iceland that comes 3 varieties: small 3, large 3, and Large 3/small 3.
I would agree with DesertGem, seems to be a weak 5 repunched with a stronger 5. But I see faint RPM marks on the other digits as well, not the bottom of the 1, and the slight lines in the bowl of the six. Could be a triple rpm on the 5?? Somehow.