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A271000
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Table read by rows: list of prime sextuplets (p, p+4, p+6, p+10, p+12, p+16).
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2
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7, 11, 13, 17, 19, 23, 97, 101, 103, 107, 109, 113, 16057, 16061, 16063, 16067, 16069, 16073, 19417, 19421, 19423, 19427, 19429, 19433, 43777, 43781, 43783, 43787, 43789, 43793, 1091257, 1091261, 1091263, 1091267, 1091269, 1091273, 1615837, 1615841, 1615843, 1615847, 1615849, 1615853
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OFFSET
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1,1
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COMMENTS
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A prime sextuplet is a constellation of six successive primes with distance 16, and is of the form (p, p+4, p+6, p+10, p+12, p+16).
Initial members p (other than 7) of prime sextuplets are congruent to 97 (mod 210). - Ash, David, Aug 04 2017
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LINKS
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FORMULA
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MATHEMATICA
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m = {0, 4, 6, 10, 12, 16}; Union@ Flatten@ Map[# + m &, Select[Prime@ Range[2*10^5], Times @@ Boole@ PrimeQ[# + m] == 1 &]] (* Michael De Vlieger, Jul 13 2016 *)
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PROG
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(Magma) lst:=[]; for p in [5..1615837 by 2] do if p le 7 xor p mod 210 eq 97 then if IsPrime(p) then t:=[c: c in [p+4..p+16] | IsPrime(c)]; if #t eq 5 then lst:=lst cat [p] cat t; end if; end if; end if; end for; lst;
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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STATUS
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approved
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