A166561 Primes p such that sum of digits + 1 is prime.

2, 11, 13, 19, 31, 37, 73, 79, 97, 101, 103, 109, 127, 163, 181, 211, 271, 277, 307, 349, 367, 433, 439, 457, 499, 523, 541, 547, 613, 619, 631, 673, 691, 709, 727, 769, 787, 811, 853, 859, 877, 907, 967, 1009

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Example

2 belongs to this sequence because 2+1=3 prime; 11 because 1+1+1=3; 127 because 1+2+7+1=11; 1009 because 1+0+0+9+1=11.

Mathematica

Select[Prime[Range[210]], PrimeQ[Plus @@IntegerDigits[#] + 1]&] (* Vincenzo Librandi, Sep 15 2013 *)

Prog

(Magma) [p: p in PrimesUpTo(1500) | IsPrime(q) where q is 1+(&+Intseq(p))]; // Vincenzo Librandi, Jun 07 2014

Crossrefs

Cf. similar sequences listed in A243586.

Sequence in context: A095743 A106984 A167412 * A179462 A207192 A240097

Adjacent sequences: A166558 A166559 A166560 * A166562 A166563 A166564

Keyword

nonn,base

Author

Vincenzo Librandi, Oct 28 2009

Status

approved