# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a243586 Showing 1-1 of 1 %I A243586 #7 Sep 08 2022 08:46:08 %S A243586 2,11,13,17,19,31,37,53,59,71,73,79,97,101,103,107,109,127,149,163, %T A243586 167,181,211,233,239,251,257,271,277,293,307,347,349,367,383,389,419, %U A243586 431,433,439,457,479,491,503,509,521,523,541,547,563,569,587,613,617 %N A243586 Primes p such that sum of digits + 3 is prime. %C A243586 Naturally, this sequence is not the same as A119449. First disagreement at index 44: a(44)=503, A119449(44)=499. %H A243586 Vincenzo Librandi, Table of n, a(n) for n = 1..1000 %t A243586 Select[Prime[Range[200]], PrimeQ[Plus@@IntegerDigits[#] + 3]&] %o A243586 (Magma) [p: p in PrimesUpTo(700) | IsPrime(q) where q is 3+&+Intseq(p)]; %Y A243586 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). %K A243586 nonn,base %O A243586 1,1 %A A243586 _Vincenzo Librandi_, Jun 07 2014 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE