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eRAP  and  modest n.

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First numbers that belong to both sets:

28518, 90243, 1220549, 4481344, 8000286, 23367008, 39201084, 82849999, 88000429, 98406724, 288001443, 304019680, 466141949, 511834973, 714004851, 1546211029, 1608329238.