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%I #13 Jan 08 2020 05:07:34
%S 41,83,401,2063,6863,10909,20063,26489,44621,105229,187067,205507,
%T 233267,238547,240047,243301,256307,346763,367021,376003,395581,
%U 555707,562181,563467,600203,613243,644843,675263,689789,785801,787601,837667,845381,954263,959389,1070203
%N The prime numbers that are prime-indexed primes and whose digit sum, adjacent digit sum concatenation, and adjacent digit difference concatenation are also primes.
%C This sequence lists the prime numbers that are prime-indexed primes, see A006450, and whose digit sum A007953, concatenation of adjacent digit sums A053392, and concatenation of adjacent digit differences A040115, are also primes. This is a subsequence of A006450 and A330653. There are 267 terms for primes up to 20491057.
%H Giovanni Resta, <a href="/A331031/b331031.txt">Table of n, a(n) for n = 1..10000</a>
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Super-prime">Super prime</a>.
%e a(4) = 2063 as 2063 is the 311th prime, 2+0+6+3 = 11, '2+0'+'0+6'+'6+3' = 269, '|2-0|'+'|0-6|'+'|6-3|' = 263, and 2063, 311, 11, 269, 263 are all prime.
%Y Cf. A000040, A006450, A330653, A007953, A040115, A053392, A046704.
%K nonn,base
%O 1,1
%A _Scott R. Shannon_, Jan 07 2020