A168174 - OEIS

%I #4 Mar 31 2012 10:28:38

%S 1000000001159,1000000002217,1000000003463,1000000004161,

%T 1000000005713,1000000005911,1000000006037,1000000006451,

%U 1000000006699,1000000007333,1000000009403,1000000010249,1000000010447,1000000010483,1000000011019

%N Emirps (A006567) with emirp number of digits and emirp digital sum.

%C Last 13-digit examples: 9999999990583, 9999999990853, 9999999995191, 9999999996901, 9999999997919, 9999999998987. First examples of some digit lengths: 10^16 + {79, 1551, 3711, 7711, 9421, 9867}; 10^30 + {2613, 29979, 37857, 41461, 47577}; 10^36 + {9061, 21081, 52351, 71017, 95781}; 10^70 + {691, 19321, 203403, 225201, 231987}; 10^72 + {97167, 158637, 227001, 233679, 265021}. ... and skipping a few other legal lengths... 10^148 + 53967 -- _Jack Brennen_

%F {p: p in A006567 and A055642(p) in A006567 and A007953(p) in A006567}.

%e a(1) = 1000000001159, which is prime, and R(1000000001159) = 951100000000 is prime, and sod(1000000001159) = 17 is prime, and R(17) = 71 is prime.

%Y Cf. A000040, A006567, A167992, A007953, A055642, A114018, A167992.

%K base,nonn

%O 1,1

%A _Jonathan Vos Post_, Nov 19 2009