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Cunningham n.  and  junction n.

First numbers that belong to both sets:

101, 511, 513, 1001, 1520, 1522, 2115, 2117, 2208, 2210, 2305, 2810, 2915, 2917, 3024, 3026, 3720, 3722, 5928, 5930, 6723, 6725, 7920, 7922, 9024, 9026, 9215, 9217, 10001, 10405, 10815, 10817, 12320, 12322, 13923, 13925, 15624, 15626, 21024, 21026, 25920, 25922, 29928, 29930, 33123, 38024, 38026, 38415, 38417, 41615, 41617, 46224, 46226, 49728, 49730, 55224, 55226, 59535, 60024, 60515, 60517, 64010, 64515, 64517, 65024, 65026, 74528, 74530, 75624, 75626, 76728, 76730, 78124, 78126, 79523, 79525, 83520, 83522, 87026, 92415, 92417, 93024, 93026, 96722, 97335, 99224, 99226, 100001, 103822, 103824, 105624, 105626, 106928, 106930, 119024, 119026, 121105, 125315, 125317, 126024, 126026, 135423, 135425, 139128, 139130, 145923, 145925, 151320, 151322, 156024, 156026, 164024, 164026, 164835, 172224, 172226, 174723, 174725, 182328, 182330, 186623, 186625, 189224, 189226, 198024, 198026, 206115, 206117, 207024, 207026, 212520, 212522, 219023, 219025, 223728, 223730, 227528, 227530, 235224, 235226, 244035, 245024, 245026, 253010, 254015, 254017, 255024, 255026, 261120, 261122, 268323, 268325, 275624, 275626, 279840, 279842, 279935, 279937, 283023, 283025, 286224, 286226, 290520, 290522, 295935, 295937, 297024, 297026, 308024, 308026, 322623, 322625, 328328, 328330, 330624, 330626, 338723, 338725, 346922, 354024, 354026, 355215, 355217, 366026, 373320, 373322, 378224, 378226, 381923, 381925, 388128, 388130, 390624, 390626, 393128, 393130, 399425, 405223, 405225, 416024, 416026, 417315, 417317, 429026, 436922, 442224, 442226, 452928, 452930, 455624, 455626, 456532, 456534, 458328, 458330, 474722, 481635, 483026, 497024, 497026, 498435, 498437, 522728, 522730, 525624, 525626, 528528, 528530, 535823, 535825, 537823, 537825, 546120, 546122, 555026, 570024, 579122, 585224, 585226, 597528, 597530, 600624, 600626, 603728, 603730, 611523, 611525, 614124, 614126, 632024, 632026, 648024, 648026, 649635, 649637, 664224, 664226, 674040, 674042, 680624, 680626, 683928, 683930, 692223, 692225, 697224, 697226, 714024, 714026, 731024, 731026, 732735, 753423, 753425, 758640, 758642, 762128, 762130, 765624, 765626.

Some larger examples :