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a(1) = 1; thereafter a(n) is always the smallest integer > a(n-1) not leading to a contradiction, such that the concatenation of any four consecutive digits in the sequence is a prime.
9

%I #4 Jun 09 2016 21:28:27

%S 1,2,3,7,19,31,91,373,931,1931,1933,7193,11931,19311,93119,311931,

%T 913733,1373313,7331373,9311931,19311931,19311933,71931193,119311931,

%U 193119311,931193119,3119311931,9137331373,9311931193

%N a(1) = 1; thereafter a(n) is always the smallest integer > a(n-1) not leading to a contradiction, such that the concatenation of any four consecutive digits in the sequence is a prime.

%C Computed by Jean-Marc Falcoz.

%H Eric Angelini, <a href="http://www.cetteadressecomportecinquantesignes.com/ConsecDig.htm">Chiffres consecutifs dans quelques suites</a>

%H E. Angelini, <a href="/A152136/a152136.pdf">Chiffres consecutifs dans quelques suites</a> [Cached copy, with permission]

%Y Cf. A158652, A152604-A152609.

%K nonn,base

%O 1,2

%A _N. J. A. Sloane_, Sep 23 2009