Based on the info available, I don't quite agree with your implication, John. It sounds like you're saying it doesn't matter what current is measured. Then why bother even measuring?
IF the reading were taken 60 seconds after applying voltage (that's a big IF, but it is standard in our plant procedure based on IEEE 95), then the calculated resistance is in the same general ballpark as the insulation resistance (which is also measured after 60 seconds). R = V / I = 2500V / 1A ~ 2500 ohms = 2.5 kohms.
2.5 kohms is not what I expect to see for a 1250kw machine (even if it's only 600 volt machine or so, and moreso if it's a higher voltage). I myself would be very careful about energizing it without further investigation: (Resolve the test method time question. Apply insulation resistance temperature correction. Ensure all cables and accessories have been determinated from the winding. Inspect brushes and rings, terminal box. Lift brushes while checking rotor. Check phase to phase winding resistance. Check humidity. Inspect any accessible portions of windings).
Again I'm assuming 60 second reading which op has not clarified. I think most insulation resistance test sets would trip if they delivered 1A+ for 60 seconds (which suggests Gunnar was right that it was a shorter-duration measurement), but it doesn't seem prudent to suggest ignoring a reading without more info/discussion.
Edit - op hasn't been back since May 23
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(2B)+(2B)' ?