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junction n.  and  Ulam n.

First numbers that belong to both sets:

206, 309, 319, 412, 414, 612, 820, 1018, 1020, 1308, 1514, 1516, 1724, 2010, 2012, 2115, 2117, 2418, 2420, 2511, 2513, 2616, 2618, 2721, 2723, 2814, 2816, 2919, 2921, 3205, 3207, 3217, 3219, 3415, 3417, 3625, 3825, 3916, 3918, 4018, 4121, 4517, 4519, 4622, 4624, 4925, 4927, 5018, 5020, 5118, 5316, 5318, 5514, 5516, 5829, 6027, 6029, 6107, 6325, 6410, 6418, 6420, 6523, 6525, 6721, 6723, 6931, 7217, 7219, 7322, 7324, 7427, 7520, 7522, 7730, 7928, 7930, 8008, 8016, 8018, 8424, 8426, 8917, 9013, 9015, 9118, 9120, 9619, 9621, 9724, 9726, 10110, 10112, 10413, 10415, 10520, 10716, 10718, 11016, 11107, 11109, 11319, 11622, 11713, 11715, 11925, 12118, 12724, 13408, 13719, 13721, 13917, 13919, 14019, 14320, 14322, 14518, 14520, 14926, 15014, 15016, 15119, 15121, 15212, 15214, 15424, 15620, 15622, 15818, 15820, 16028, 16030, 16221, 16419, 16421, 16722, 16724, 16827, 16829, 17113, 17115, 17824, 17826, 18425, 18427, 18623, 18625, 18918, 19031, 19033, 19119, 19121, 19527, 19620, 19622, 19632, 19830, 19832, 20216, 20218, 20521, 20709, 21003, 21005, 21015, 21017, 21108, 21110, 21411, 21413, 22012, 22014, 22315, 22317, 22513, 22515, 22723, 22725, 22816, 22818, 23026, 23028, 23114, 23116, 23825, 23827, 23930, 24023, 24025, 24321, 24323, 24822, 24824, 25015, 25017, 25213, 25215, 25425, 25621, 25623, 25924, 25926, 26029, 26031, 26117, 26119, 26224, 26315, 26317, 26830, 27021, 27023, 27522, 27524, 27817, 28018, 28020, 28321, 28323, 28729, 28731, 28919, 29015, 29017, 29032, 29034, 29318, 29320, 29726, 29728, 29833, 30007, 30009, 30021, 30024, 30026, 30219, 30417, 31018, 31109, 31111, 31517, 31519, 31820, 31822, 32018, 32020, 32316, 32318, 32409, 32411, 32423, 32514, 32516, 32726, 32817, 32819, 32922, 32924, 33115, 33117, 33523, 33525, 33616, 33618, 33721, 33723, 33828, 33919, 33921, 34024, 34026, 34613, 34615, 34627, 34718, 34720, 34928, 35016, 35018.

Some larger examples :