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congruent n.  and  odious n.

First numbers that belong to both sets:

7, 13, 14, 21, 22, 28, 31, 37, 38, 41, 47, 52, 55, 56, 61, 62, 69, 70, 79, 84, 87, 88, 93, 94, 103, 109, 110, 112, 117, 118, 124, 127, 133, 134, 137, 138, 143, 145, 148, 151, 152, 157, 158, 161, 164, 167, 173, 174, 181, 182, 188, 191, 194, 199, 205, 206, 208, 213, 214, 220, 223, 224, 229, 230, 239, 244, 247, 248, 253, 254, 261, 262, 265, 271, 276, 279, 280, 285, 286, 295, 299, 301, 302, 309, 310, 313, 316, 319, 327, 333, 334, 336, 341, 342, 348, 351, 352, 357, 358, 367, 369, 372, 375, 376, 381, 382, 386, 391, 395, 397, 398, 405, 406, 410, 412, 415, 421, 422, 426, 431, 434, 436, 439, 440, 445, 446, 448, 453, 454, 457, 463, 465, 468, 471, 472, 477, 478, 487, 493, 494, 496, 501, 502, 505, 508, 511, 517, 518, 527, 532, 535, 536, 541, 542, 546, 548, 551, 552, 557, 558, 565, 566, 572, 575, 580, 583, 589, 590, 592, 597, 598, 602, 604, 607, 608, 613, 614, 623, 628, 631, 632, 637, 638, 644, 647, 651, 653, 654, 656, 661, 662, 668, 671, 677, 678, 687, 689, 692, 695, 696, 701, 702, 709, 710, 719, 721, 724, 727, 728, 731, 733, 734, 743, 749, 750, 752, 757, 758, 761, 764, 767, 775, 776, 781, 782, 789, 790, 793, 796, 799, 805, 806, 815, 820, 823, 824, 829, 830, 832, 837, 838, 847, 850, 852, 855, 856, 861, 862, 866, 871, 877, 878, 880, 885, 886, 889, 890, 892, 895, 896, 901, 902, 905, 911, 916, 919, 920, 925, 926, 935, 941, 942, 949, 950, 956, 959, 967, 973, 974, 976.

Some larger examples :