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junction n.  and  Lehmer n.

First numbers that belong to both sets:

511, 1417, 1615, 2119, 2509, 3409, 4921, 5611, 6031, 8119, 9211, 10213, 11305, 13021, 13107, 14611, 16021, 18019, 18631, 22015, 22321, 24727, 26923, 27223, 32215, 35113, 37921, 40921, 42121, 43621, 44317, 49231, 51319, 54223, 63631, 69231, 72631, 74011, 74023, 76627, 81631, 83011, 83821, 86731, 92833, 93031, 94831, 98623, 101311, 107929, 113611, 113821, 115627, 118027, 122221, 124015, 126217, 127723, 129031, 131821, 134521, 139231, 141523, 145027, 148417, 148831, 168421, 173419, 176035, 187939, 189943, 198535, 200911, 206521, 229633, 236215, 244531, 251521, 277537, 279031, 281827, 298627, 298831, 300409, 307021, 307111, 312721, 318937, 319021, 328021, 340033, 341731, 343315, 347721, 353221, 353821, 359233, 364231, 377233, 390937, 405631, 407431, 414421, 422521, 455533, 455731, 456621, 476221, 477337, 499741, 521731, 537421, 552721, 565531, 568429, 577435, 580831, 591631, 599845, 604117, 630631, 649831, 656635, 657937, 669631, 679729, 686035, 697531, 718537, 721033, 733231, 748231, 748237, 756937, 771829, 778339, 802123, 828331, 843217, 857935, 861631, 864535, 879739, 894631, 896239, 897541, 901021, 916327, 930721, 937021, 940039, 957223, 997633, 1006621, 1011415, 1018921, 1023031, 1056331, 1079827, 1107211, 1118821, 1128121, 1130221, 1158829, 1162531, 1216117, 1218721, 1292521, 1302031, 1314631, 1317331, 1325023, 1350427, 1359121, 1365631, 1414315, 1425931, 1461031, 1496131, 1504321, 1517131, 1523821, 1555321, 1578235, 1578237, 1580531, 1584133, 1592227, 1607521, 1640041, 1674031, 1682227, 1683937, 1706521, 1717531, 1718431, 1747843, 1763827, 1766527, 1768045, 1773535, 1781221, 1781431, 1785631, 1785829, 1807321, 1854931, 1857031, 1873837, 1884631, 1892323, 1900515, 1909831, 1910821, 1934227, 1948531, 1963831, 1987441, 1993537, 2000911, 2001217, 2015311, 2036431, 2077531, 2103121, 2143327, 2157631, 2181121, 2205421, 2253733, 2254021, 2259931, 2261629, 2287831, 2290621, 2353429, 2360821, 2375017, 2380831, 2396527, 2399635, 2403817, 2406517, 2418627, 2455531, 2466133, 2470831, 2480131, 2488741, 2602321, 2604331, 2611531, 2650831, 2658433, 2670823, 2688937, 2689639, 2736133, 2741323, 2766835, 2768233, 2790031, 2792131, 2861431, 2866531, 2873731, 2898841, 2907931, 2919631, 2930731, 2949541, 3000811, 3091621, 3127831, 3178627, 3193531, 3214111, 3247933, 3277231, 3285331.

Some larger examples :