A243586 Primes p such that sum of digits + 3 is prime.

2, 11, 13, 17, 19, 31, 37, 53, 59, 71, 73, 79, 97, 101, 103, 107, 109, 127, 149, 163, 167, 181, 211, 233, 239, 251, 257, 271, 277, 293, 307, 347, 349, 367, 383, 389, 419, 431, 433, 439, 457, 479, 491, 503, 509, 521, 523, 541, 547, 563, 569, 587, 613, 617

Offset: 1

Author

Vincenzo Librandi, Jun 07 2014

Keywords

• nonn
• base

Comments

Naturally, this sequence is not the same as A119449. First disagreement at index 44: a(44)=503, A119449(44)=499.

Links

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

Crossrefs

Cf. primes p such that sum of digits + k is prime: A166561 (k=1), this sequence (k=3), A176985 (k=5), A243587 (k=7), A243588 (k=9).

Programs

Magma

[p: p in PrimesUpTo(700) | IsPrime(q) where q is 3+&+Intseq(p)];

Mathematica

Select[Prime[Range[200]], PrimeQ[Plus@@IntegerDigits[#] + 3]&]