A068951 Scan the primes, record digit-sum if it is itself prime.
2, 3, 5, 7, 2, 5, 11, 5, 7, 11, 7, 13, 11, 17, 2, 5, 5, 11, 13, 7, 13, 11, 17, 11, 13, 17, 19, 7, 11, 13, 7, 11, 17, 11, 13, 5, 7, 11, 7, 13, 11, 17, 13, 19, 19, 5, 13, 7, 11, 17, 11, 13, 17, 19, 17, 13, 19, 17, 23, 7, 13, 11, 13, 17, 13, 17, 17, 13, 19, 13, 19, 17, 23, 17, 11, 13
Offset: 1
Examples
a(13)=5 since the 13th prime is 41 and 4+1=5, which is prime.
Crossrefs
Cf. A046704.
Programs
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Maple
dig := X->convert((convert(X,base,10)),`+`); a := n->`if`(isprime(dig(ithprime(n)))=true,dig(ithprime(n)),printf(""));
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Mathematica
Select[Total[IntegerDigits[#]]&/@Prime[Range[200]],PrimeQ] (* Harvey P. Dale, Oct 17 2020 *)