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evil n.  and  Ruth-Aaron pair

First numbers that belong to both sets:

5, 6, 9, 15, 24, 77, 78, 105, 125, 126, 153, 154, 492, 715, 948, 1331, 1520, 1683, 1862, 2107, 2299, 2491, 2600, 3249, 5561, 5959, 5960, 6557, 6811, 6867, 8280, 8463, 9801, 10647, 10648, 12351, 12726, 13775, 14587, 16932, 17080, 18490, 20451, 21183, 24025, 24433, 24881, 24896, 25839, 26643, 26649, 26650, 28449, 28809, 28810, 33019, 35456, 37829, 37881, 37882, 42625, 43216, 43680, 44892, 47545, 48204, 48763, 49241, 52554, 53193, 57075, 61760, 63344, 63426, 64232, 68264, 68949, 68950, 70357, 72500, 75140, 79118, 81175, 81176, 89980, 95709, 95710, 98119, 98120, 98644, 99164, 106800, 106893, 106894, 109940, 110607, 112079, 113284, 118656, 128774, 132209, 132210, 141340, 141488, 143622, 148215, 148216, 154842, 155111, 155112, 155709, 173162, 174097, 183447, 189080, 197657, 197658, 204258, 204611, 208581, 208582, 216293, 216294, 224104, 224256, 228599, 228600, 230125, 231284, 235587, 244035, 244596, 244853, 244854, 247455, 247456, 248109, 248110, 250996, 261019, 261569, 263327, 263328, 263629, 265113, 268657, 268716, 289317, 292454, 294335, 296112, 296751, 304325, 304326, 319429, 329989, 332995, 346693, 350599, 350600, 351076, 370348, 373703, 373704, 380438, 380963, 381728, 384313, 388451, 404973, 404974, 407835, 416119, 416120, 417162, 417164, 421819, 430605, 436933, 437715, 441211, 445305, 445306, 453475, 457900, 461825, 466773, 466774, 467303, 477092, 488977, 493923, 501831, 508563, 509852, 525224, 529195, 531990, 537917, 540280, 550032, 554683, 557535, 557536, 560151, 563390, 564925, 565823, 571039, 571040, 572015, 576984, 583462, 587265, 598249, 598250, 608316, 618752, 624080, 643467, 665322, 667628, 671020, 685228, 693610, 694430, 696436, 732089, 732199, 732200, 740726, 742508, 748231, 767832, 773313, 773604, 788671, 801295, 820601, 821271, 821272, 823150, 827895, 827896, 839199, 839200, 839376, 842127, 844865, 850747, 851709, 851710, 856607, 856608, 859408, 869055, 878898, 882927, 890126, 890723, 901748, 906020, 909624, 911076, 927775, 932035, 942632, 944109, 961573, 962140, 965095, 965096, 977281, 977779, 996557, 996558, 999073, 1006549, 1006550, 1019425.

Some larger examples :