L5iyipTyQ6kHHcumG2ihbBnqJFGBq9nXY53Mmp3uPBg5FE82vNTC is a valid private key for the "compressed" pubkey of 13E4sDkWHMBJqFe9yFWM1JyBmJz5LZKUEL (secret exponent fdc17449119f6cc1857f07d3cb53868b8df79b20d8c5a282d88ae19cb7d67ceb). Blockchain.info imports it just fine.

Both 5KHV7MizuJ9FXfoK1jongbYeAHiDL49FAQphAyoUgJ8jUrJi56i and c17449119f6cc1857f07d3cb53868b8df79b20d8c5a282d88ae19cb7d67ceba0 are wrong.