A128312 List of triples of primes with common difference 12.
199, 211, 223, 1499, 1511, 1523, 4397, 4409, 4421, 4679, 4691, 4703, 7829, 7841, 7853, 9859, 9871, 9883, 11287, 11299, 11311, 11399, 11411, 11423, 11719, 11731, 11743, 12829, 12841, 12853, 15149, 15161, 15173, 16607, 16619, 16631, 17419
Offset: 1
Examples
199, 211, 223 1499, 1511, 1523 4397, 4409, 4421 4679, 4691, 4703 7829, 7841, 7853 9859, 9871, 9883 11287, 11299, 11311 11399, 11411, 11423 etc...
Crossrefs
Cf. A052188 (1st column).
Programs
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Maple
for i from 1 by 1 to 4000 do > if ithprime(i+1) = ithprime(i) +12 and ithprime(i+2) = ithprime(i) + 24 then print(ithprime(i),ithprime(i+1),ithprime(i+2)); > fi; > od;#
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Mathematica
s={};Do[p=Prime[n];If[NextPrime[p]==p+12&&NextPrime[p,2]==p+24,AppendTo[s,{p,p+12,p+24}]],{n,2100}];Flatten[s] (* James C. McMahon, Jan 07 2025 *)