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A185941
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First of a run of 4 or more consecutive primes which all equal 2 (mod 3).
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3
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251, 1493, 1889, 1901, 2393, 2399, 4373, 4391, 4451, 4673, 4679, 5237, 5351, 5381, 6311, 7079, 7103, 7793, 7817, 7823, 7883, 8111, 9203, 9209, 9467, 9473, 9833, 10181, 11393, 11783, 11789, 12113, 12641, 12647, 12653, 12923, 13103, 13451, 14741, 15749
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OFFSET
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1,1
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COMMENTS
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LINKS
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MATHEMATICA
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pr6Q[l_]:=And@@(Mod[#, 3]==2&/@l)
Transpose[Select[Partition[Prime[Range[2000]], 4, 1], pr6Q]][[1]] (* Harvey P. Dale, Feb 13 2011 *)
Prime[#]&/@(SequencePosition[Mod[#, 3]&/@Prime[Range[2000]], {2, 2, 2, 2}][[;; , 1]]) (* Harvey P. Dale, Jan 26 2024 *)
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PROG
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(PARI) s=Mod([1, 1, 1, 1]*2, 3); o=vector(#s); i=0; forprime(p=1, 1e4, o[i++%#o+1]=p; o-s|print1(o[(i+1)%#o+1]", "))
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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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