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good prime  and  junction n.

First numbers that belong to both sets:

101, 307, 311, 1009, 1213, 2521, 3821, 5413, 5623, 6029, 6521, 7411, 8513, 8521, 9413, 10007, 16411, 16417, 16823, 16829, 17317, 20717, 24917, 27427, 29833, 30011, 31121, 33311, 35729, 41011, 45817, 46021, 48731, 50821, 51109, 56431, 61211, 69827, 70823, 73327, 73517, 73523, 74017, 79031, 79133, 79531, 84121, 84127, 85427, 91121, 91127, 92219, 92623, 98837, 101107, 101111, 103511, 111409, 113011, 116923, 120811, 120817, 120823, 127031, 131413, 132511, 132523, 134033, 136027, 136319, 136327, 148627, 157013, 159623, 160619, 168433, 175621, 175631, 175829, 175837, 176317, 176327, 181717, 184823, 184829, 185519, 185527, 185531, 189127, 189337, 190523, 195023, 197233, 205019, 205817, 217111, 218417, 224027, 227011, 236627, 243421, 244121, 246119, 250619, 253531, 254623, 262121, 264527, 264731, 274829, 288929, 289019, 289837, 300623, 312023, 312029, 316031, 324011, 324419, 324427, 334319, 336029, 336521, 336527, 339631, 350729, 360817, 360821, 361313, 361321, 371213, 371227, 371831, 374029, 374039, 382229, 383519, 389527, 389743, 391627, 392033, 405211, 405221, 413521, 414013, 414017, 414629, 416821, 417113, 417719, 426527, 426731, 463823, 467431, 486037, 486041, 486323, 487423, 487427, 487637, 493121, 493931, 503123, 505027, 512521, 515227, 516127, 540041, 545521, 545527, 556037, 567937, 579239, 580627, 580631, 599231, 602029, 606721, 606731, 611921, 631121, 639937, 643421, 644029, 644117, 644123, 652229, 657929, 668527, 668531, 669637, 669839, 678023, 683231, 686729, 691037, 691531, 699037, 699943, 718321, 718331, 719633, 723029, 728627, 728639, 730727, 744637, 745529, 745931, 759431, 764837, 783119, 783527, 789941, 790327, 793439, 803227, 822113, 822517, 837929, 838021, 846323, 846943, 863633, 863833, 864029, 872017, 874637, 877739, 904019, 904619, 904627, 904633, 914117, 914321, 916031, 923123, 923333, 937627, 937633, 940223, 947327, 948839, 949931, 949937, 957031, 958327, 958333, 958339, 989743, 989749, 1040021, 1041109, 1055827, 1067327, 1089941, 1090127, 1099031, 1123211, 1123217, 1126313, 1130621, 1146323, 1146329, 1148933, 1155527, 1160111, 1173937, 1174231, 1174423, 1208017, 1210711, 1235021, 1243927, 1243933, 1245527, 1256531, 1262617, 1278323, 1278337.

Some larger examples :