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A216299
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Numbers k such that 10k+1 is composite but 10k+3, 10k+7, 10k+9 are all prime.
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1
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22, 61, 85, 142, 166, 169, 178, 199, 268, 316, 415, 451, 478, 541, 682, 775, 787, 862, 1045, 1111, 1237, 1387, 1618, 1720, 1738, 2014, 2035, 2074, 2131, 2215, 2305, 2362, 2410, 2710, 2773, 2938, 3013, 3055, 3271, 3334, 3361, 3412, 3652, 4012, 4042, 4069
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OFFSET
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1,1
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LINKS
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FORMULA
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MATHEMATICA
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t = {}; Do[ps = Select[Range[10*n, 10*n + 9], PrimeQ]; If[ps == {10*n + 3, 10*n + 7, 10*n + 9}, AppendTo[t, n]], {n, 0, 4978}]; t (* T. D. Noe, Sep 03 2012 *)
Select[Range[4100], CompositeQ[10#+1]&&AllTrue[10#+{3, 7, 9}, PrimeQ]&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Sep 14 2019 *)
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PROG
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(Magma) [k:k in [1..4100]| not IsPrime(10*k+1) and forall{m:m in [3, 7, 9]| IsPrime(10*k+m)}]; // Marius A. Burtea, Feb 02 2020
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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