The general rule is 2:1 for replacing a gas motor with electric. Do you know if the gas motor is the original motor? Or how well it handled the load?
And... There are other considerations. The gas motor makes it's full HP at 3600 RPM. Most electric motors run around 1725 RPM, you can get them at 3450, but not as common, and tend to be harder on belts.
You'll need to calculate the speed you want the auger to run, adjust the pulley size to accommodate the electric motor speed.
The easiest way to get an idea what would be needed would be to find a make, model, and serial number, contact the mfg, ask what it is supposed to have. There are also engineering guides that can calculate the motor requirements. You'll need the screw diameter (5 in.), pitch of the screw, weight of the material, desired volume, screw RPM.
Long story short, if the 5 horse gas motor was sufficient, a 3 horse electric should handle it.
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