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Jordan-Polya n.  and  odious n.

First numbers that belong to both sets:

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 1296, 2048, 2592, 4096, 5184, 8192, 10368, 16384, 20736, 25920, 32768, 41472, 51840, 65536, 82944, 86400, 103680, 131072, 165888, 172800, 207360, 262144, 279936, 331776, 345600, 414720, 524288, 559872, 604800, 663552, 691200, 829440, 1048576, 1119744, 1209600, 1327104, 1382400, 1658880, 2097152, 2239488, 2419200, 2654208, 2764800, 3317760, 3628800, 4194304, 4478976, 4838400, 5308416, 5529600, 5598720, 6531840, 6635520, 7257600, 8388608, 8957952, 9676800, 10616832, 11059200, 11197440, 13063680, 13271040, 14515200, 16777216, 17915904, 18662400, 19353600, 21233664, 22118400, 22394880, 26127360, 26542080, 29030400, 33554432, 35831808, 37324800, 38707200, 39916800, 42467328, 44236800, 44789760, 52254720, 53084160, 58060800, 60466176, 67108864, 71663616, 72576000, 74649600, 77414400, 79833600, 84934656, 88473600, 89579520, 104509440, 106168320, 111974400, 116121600, 120932352, 130636800, 134217728, 143327232, 145152000, 149299200, 152409600, 154828800, 159667200, 169869312, 176947200, 179159040, 207360000, 209018880, 212336640, 223948800, 232243200, 241864704, 261273600, 268435456, 286654464, 290304000, 298598400, 304819200, 309657600, 319334400, 339738624, 353894400, 358318080, 362797056, 373248000, 414720000, 418037760, 424673280, 447897600, 464486400, 483729408, 522547200, 536870912, 573308928, 580608000, 597196800, 609638400, 619315200, 638668800, 671846400, 679477248, 707788800, 716636160, 725594112, 746496000, 829440000, 836075520, 849346560, 895795200, 928972800, 967458816.