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Cunningham n.  and  Friedman n.

First numbers that belong to both sets:

126, 127, 2501, 11663, 11665, 12101, 12768, 13823, 13825, 15624, 15626, 16385, 19682, 19684, 21953, 24390, 32762, 34968, 45368, 46655, 46657, 59048, 59050, 59318, 78126, 97343, 103683, 103685, 103824, 104328, 104975, 105624, 112895, 114243, 114245, 117648, 117650, 125001, 125315, 125317, 126735, 126737, 127450, 129599, 129601, 131071, 131073, 132495, 132497, 132650, 132652, 133226, 136162, 137640, 137642, 145923, 147455, 147457, 156024, 157463, 157465, 161050, 161052, 162408, 163217, 166374, 166376, 172224, 175560, 175615, 177146, 177148, 177242, 186623, 186625, 192722, 194480, 194482, 195113, 198024, 205378, 214368, 216001, 219025, 234255, 234257, 235224, 236195, 236197, 237170, 238143, 238145, 239122, 240099, 248831, 248833, 250001, 250046, 250048, 251002, 252003, 252005, 253008, 253010, 254015, 254017, 257050, 258065, 259080, 262143, 262145, 263168, 268323, 273528, 279840, 279842, 279935, 279937, 283025, 291599, 291601, 294848, 300762, 300764, 314431, 314433, 319226, 328508, 328510, 332928, 343001, 344568, 357910, 357912, 361200, 361202, 363610, 371294, 373247, 373249, 389016, 389018, 390624, 398162, 412163, 419903, 438977, 456975, 456977, 465125, 470597, 474553, 493038, 512657, 522730, 524175, 524177, 524287, 524289, 529983, 531440, 531442, 532899, 532901, 537823, 537825, 551367, 562499, 571786, 577601, 579122, 589825, 592703, 602177, 614657, 677328, 681473, 682277, 704968, 729001, 759374, 759376, 765626, 804358, 884737, 902501, 912672, 912674, 919682, 921601, 927368, 931226, 941191, 941193, 944785, 972197, 974168, 978122.