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emirp  and  junction n.

First numbers that belong to both sets:

107, 113, 311, 709, 1009, 1213, 1217, 1409, 1619, 1811, 3011, 3221, 3407, 3613, 3821, 7219, 7817, 9011, 9013, 9221, 9227, 9421, 9833, 10007, 10009, 10613, 11717, 11719, 11923, 11927, 12611, 12619, 13513, 13523, 13711, 14207, 14221, 14423, 14621, 14821, 15511, 15527, 15919, 16007, 16217, 16223, 16427, 16829, 17021, 17033, 17117, 17519, 17923, 18013, 18413, 18427, 19531, 30011, 30029, 31121, 31307, 31721, 31723, 32009, 32213, 32411, 33029, 33317, 33923, 33931, 34211, 34613, 35027, 35117, 35311, 35317, 35323, 35327, 35521, 35729, 36013, 36217, 36833, 37021, 37123, 37321, 38011, 38219, 38629, 39113, 39119, 39929, 70009, 72221, 73327, 73517, 73523, 74623, 75329, 75721, 75731, 76231, 76423, 76829, 76837, 77029, 77323, 77521, 77527, 78233, 78623, 78823, 78839, 79039, 79319, 79531, 79537, 79939, 90019, 90031, 90217, 90821, 90833, 91121, 91921, 92219, 92227, 92821, 92831, 93113, 93923, 93937, 94219, 94837, 95131, 95317, 95527, 95731, 95929, 96017, 96221, 96431, 96823, 96827, 97327, 97523, 97729, 98017, 98221, 98429, 98627, 99119, 99133, 100411, 100621, 101027, 101119, 101719, 101917, 102409, 102611, 103307, 103511, 103919, 105727, 105929, 106213, 106217, 106411, 106417, 106427, 106621, 106627, 108013, 109919, 110023, 110119, 110311, 110917, 110921, 111211, 111821, 112111, 112913, 113011, 113209, 113213, 113621, 114031, 114713, 115013, 115021, 115823, 115831, 116027, 116719, 117413, 118717, 119417, 119627, 119633, 119827, 120413, 121019, 121021, 121321, 121727, 121921, 122011, 123017, 123121, 123527, 123923, 124823, 126019, 126211, 126631, 126823, 127033, 127123, 127529, 127733, 127931, 128831, 129121, 129127, 129529, 130517, 131221, 131611, 132523, 133213, 134033, 134923, 135017, 135427, 135617, 136519, 136523, 137827, 137831, 138731, 139423, 139619, 140221, 140411, 140419, 140611, 141023, 141719, 142007, 142211, 143111, 143113, 143527, 144413, 144427, 145721, 146011, 146021, 146423, 146819, 147029, 148429, 148627, 149333, 149521, 149533, 149731, 150523, 150721, 150929, 151423, 152519, 152723, 153421, 153623, 154127, 154727, 154927.

Some larger examples :