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COMMENTS
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For n <= 5, the values k <= 10^6 such that sigma(sigma(k)) = sigma(sigma(k) - k) + n*k are:
For n = 1; 4, 144, 16384.
For n = 2; 3, 7, 8, 31, 84, 127, 8191, 35743, 42048, 131071, 524287.
For n = 3; 14, 20, 372, 1081, 16246, 98292.
For n = 4; 54, 168, 308, 504, 994, 3870, 4994, 7800, 16488, 17360, 51995, 475664.
For n = 5; 1496, 1704, 14976, 21552, 379938, 854168.
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