The generator is a Husqvarna 1365GN which has 6500 running watts and 8125 starting watts, so I don't think that's the problem. The dealer thinks it has to do with the GFCI. He thinks the pump needs to be rewired or I should buy the additional GFCI wire that's required on OSHA job sites. I was under the impression that the GFCI was a saftey measure and can't see how that would make any difference in running the well pump.
Dave