An illustration of a paradox about the idoneal, or suitable, numbers

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In this paper Euler shows that there are no additional square idoneal numbers aside from 1, 4, 9, 16, and 25.
4 pages, seems to be first English translation of Latin original ``Illustratio paradoxi circa progressionem numerorum idoneorum sive congruorum'', Nova Acta Academiae Scientarum Imperialis Petropolitinae 15 (1806), 29-32, E725

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