micky wrote:

Oil furance ignition transformer. Proper resistance for primary.

Is it possible that a winding with only 4 ohms DC resistance would
have 52 ohms impedance at 60 Hertz**?

I have an ignition transformer for an oil furnace burner.

It's designed to make a continuous spark to ignite the atomized fuel
oil sprayed into the firebox. It runs on 120 VAC. And the
secondary is meant to provide a voltage that will jump across a
specified 1/8" gap, but probably will jump a 1/4" gap. I see that the
transformer secondary is rated at 10,000 volts.

Disconnected and measured with an ohmmeter it shows 20,000 ohms in the
secondary, and 4 ohms in the primary!!

Is that possible? Esp. the primary.

What you have sounds correct.

I have here a new Dongan 250VA, 8000 volt 23ma ignition tranformer. It's
oil filled and has lovely steatite insulators.

The primary resistance is 2.7 ohms and seconday is 18.5k. For a plain
shunted ignition transformer the numbers look safe, and it's close to what
you have.