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Cook potatoes in boiling water to cover 40 minutes or until tender; drain and cool.
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Peel potatoes and cut into 1 inch pieces.
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Chop egg whites.
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In a large bowl, stir together potato, egg whites, 1/2 t. salt and green onions.
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Using a fork, mash the yolks in a small bowl; add in remaining 1/2 t. salt, mayo, pickle relish, mustard, pepper, and celery seed; stirring until well blended.
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Gently stir yolk mixture into potato mixture; adjust seasoning to taste with salt and pepper.
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Cover and chill 2 hours (it is even better if you can chill this overnight and serve the next day).