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evil n.  and  Poulet n.

First numbers that belong to both sets:

561, 645, 1105, 2701, 4369, 7957, 8481, 8911, 11305, 12801, 14491, 15709, 16705, 23377, 25761, 30889, 31417, 33153, 34945, 39865, 41665, 42799, 60701, 74665, 83665, 85489, 87249, 88357, 88561, 91001, 101101, 107185, 115921, 123251, 129921, 150851, 157641, 158369, 164737, 172081, 188461, 194221, 206601, 215265, 226801, 233017, 252601, 253241, 256999, 264773, 266305, 278545, 280601, 282133, 284581, 285541, 294271, 314821, 332949, 334153, 340561, 341497, 390937, 396271, 423793, 427233, 435671, 443719, 449065, 452051, 464185, 481573, 488881, 512461, 526593, 534061, 582289, 587861, 588745, 604117, 635401, 653333, 656601, 657901, 665281, 665401, 672487, 680627, 683761, 711361, 721801, 722201, 741751, 742813, 757945, 769567, 800605, 818201, 838201, 841681, 873181, 877099, 915981, 950797, 976873, 1004653, 1018921, 1033669, 1052503, 1052929, 1064053, 1092547, 1093417, 1104349, 1109461, 1132657, 1139281, 1141141, 1152271, 1157689, 1168513, 1193221, 1194649, 1207361, 1325843, 1357621, 1394185, 1419607, 1433407, 1459927, 1472065, 1472353, 1485177, 1489665, 1500661, 1509709, 1520905, 1534541, 1608465, 1620385, 1643665, 1678541, 1711381, 1730977, 1773289, 1811573, 1827001, 1837381, 1840357, 1857241, 1876393, 1892185, 1909001, 1937881, 1987021, 2035153, 2077545, 2085301, 2089297, 2100901, 2113665, 2121301, 2134277, 2144521, 2162721, 2171401, 2184571, 2205967, 2232865, 2261953, 2269093, 2284453, 2288661, 2290641, 2304167, 2327041, 2387797, 2419385, 2455921, 2487941, 2491637, 2510569, 2513841, 2531845, 2603381, 2626177, 2628073, 2670361, 2719981, 2722681, 2746477, 2757241, 2797921, 2811271, 2827801, 2880361, 2921161, 2976487, 2977217, 3020361, 3048841, 3057601, 3059101, 3116107, 3125281, 3181465, 3235699, 3336319, 3337849, 3345773, 3363121, 3370641, 3375041, 3400013, 3413533, 3471071, 3605429, 3664585, 3679201, 3746289, 3779185, 3828001, 3911197, 4014361, 4097791, 4188889, 4229601, 4259905, 4335241, 4360621, 4361389, 4415251, 4463641, 4469471, 4502485, 4513841, 4535805, 4567837, 4650049, 4670029, 4706821, 4806061, 4909177, 4984001, 5031181, 5044033, 5049001, 5173601, 5258701, 5271841, 5310721, 5351537, 5400489, 5444489, 5456881, 5481451, 5529745, 5545145, 5551201, 5632705, 5766001, 5804821, 5859031, 5919187, 5968261, 5977153, 6049681, 6054985, 6118141, 6122551, 6140161, 6159301, 6189121, 6212361, 6233977, 6235345, 6242685, 6255341, 6278533, 6313681.

Some larger examples :