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Select[Range[2000], Boole[PrimeQ[10#+{1, 3, 7, 9}]]=={0, 1, 1, 0}&] (* Harvey P. Dale, Jul 20 2021 *)
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a(n) >> n log^2 n. - Charles R Greathouse IV, Sep 07 2012
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16, 67, 121, 220, 229, 247, 283, 295, 334, 361, 379, 394, 481, 592, 604, 673, 724, 757, 760, 772, 793, 844, 880, 913, 988, 1024, 1066, 1108, 1144, 1159, 1186, 1192, 1234, 1243, 1303, 1318, 1396, 1417, 1453, 1465, 1471, 1501, 1507, 1537, 1549, 1660, 1762, 1858, 1879, 2011, 2017, 2032, 2206, 2230, 2278, 2413, 2476
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t = {}; Do[ps = Select[Range[10*n, 10*n + 9], PrimeQ]; If[ps == {10*n + 3, 10*n + 7}, AppendTo[t, n]], {n, 0, 2476}]; t (* T. D. Noe, Sep 04 2012 *)
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V. Raman, <a href="/A216306/b216306.txt">Table of n, a(n) for n = 1..10000</a>
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