This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A277607 #17 Oct 31 2016 13:34:45 %S A277607 5,47,157,227,317,337,557,2027,3037,3217,5147,6047,7457,12527,13757, %T A277607 14657,20357,21017,23747,32057,35027,47417,57047,84137,115727,125627, %U A277607 127247,136337,147137,149027,212057,219937,225257,230017,240047,242357,264137,284117,304127 %N A277607 Smallest of four consecutive primes in arithmetic progression with common difference 42 and all digit sums prime. %e A277607 a(1) = 5: 5 + 42 = 47; 47 + 42 = 89; 89 + 42 = 131; all four are prime. Their digit sums 5, 4 + 7 = 11, 8 + 9 = 17 and 1 + 3 + 1 = 5 are also prime. %e A277607 a(2) = 47: 47 + 42 = 89; 89 + 42 = 131; 131 + 42 = 173; all four are prime. Their digit sums 4 + 7 = 11, 8 + 9 = 17, 1 + 3 + 1 = 5 and 1 + 7 + 3 = 11 are also prime. %t A277607 A277607 = {}; Do[d = 42; k = Prime[n]; k1 = k + d; k2 = k + 2 d; k3 = k + 3 d; If[PrimeQ[k1] && PrimeQ[k2] && PrimeQ[k3] && PrimeQ[Plus @@ IntegerDigits[k]] && PrimeQ[Plus @@ IntegerDigits[k1]] && PrimeQ[Plus @@ IntegerDigits[k2]] && PrimeQ[Plus @@ IntegerDigits[k3]], AppendTo[A25, k]], {n, 30000}]; A277607 %t A277607 FCPQ[n_] := Module[{a = n + 42, b = n + 84, c = n + 126}, AllTrue[{a, b, c}, PrimeQ] && AllTrue[Total /@ (IntegerDigits /@ {n, a, b, c}), PrimeQ]]; Select[Prime[Range[30000]], FCPQ] %Y A277607 Cf. A000040, A033447, A062088, A253140. %K A277607 nonn,base %O A277607 1,1 %A A277607 _K. D. Bajpai_, Oct 31 2016