Yea, that i know.
But just those few tests at South Africa isn't enough.
Maybe to test and make some few, but probably unlikely to be enough to produce 100+ kilotons ones, or lots of nukes.
The South African ballistic missile program is extremely interesting as it revealed capabilities probably shared by Israel.
The initial stages up to MRBM were shared between Israel and South Africa. They then each developed their own ICBM based on those.
The South African doctrine was interesting:
Should Pretoria face a catastrophic situation due to circumstances caused by events backed by the USSR, then the initial reaction was a nuclear test, followed by a demonstration of the RSA-4 ICBM. This would have explicitly stated that a nuclear payload could be delivered to Moscow
and Washington. (Bolded)
The reason for this was to ensure that
everyone (bolded) understood implicitly what was at stake and what was to be lost by everyone, thus ensuring everybody got involved to cool things down.
The entire point of the RSA-4 ICBM program was this threat.
It is very very interesting to see the Israeli doctrine is similar.
The South African unveiling and subsequent decommissioning of their program was very interesting, as although the two countries developed their own different ICBM's, the core stages and technologies were shared.
So, although the RSA-4 ICBM was different in detail to the Jericho-3 ICBM, they are contemporaries in time and capability.
Thus, it revealed far more about the capabilities the Israelis have than anything before or since, as Israel is very secretive about it.
So, in light of your statement, the Israelis most certainly have the range to cover those targets mentioned.
Within the context of this discussion and Israels capabilities in this regard, South Africa's programme is fascinating to read up on, including their test launches of stages from the Overberg Launch Centre into the South Indian/Atlantic ocean.
Also relevant at that time period was the fact that not only was South Africa enriching it's own weapons grade uranium, but at the time was in the top 3 global uranium mining and producing countries on the planet. And that was of critical importance to Israel.
Uranium access wasn't an issue for Israel then.