Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #19 Jul 18 2023 02:35:19
%S 3,5,11,17,41,47,53,71,83,101,113,131,137,167,173,197,251,257,281,311,
%T 347,353,383,431,461,521,587,593,617,647,683,701,743,761,797,827,857,
%U 881,911,941,971,983,1013,1061,1091,1097,1103,1187,1223,1277,1301,1373
%N Primes p such that p + 26 is prime.
%H Seiichi Manyama, <a href="/A252089/b252089.txt">Table of n, a(n) for n = 1..10000</a>
%e 17 is in this sequence because 17+26 = 43 is prime.
%e 431 is in this sequence because 431+26 = 457 is prime.
%t Select[Prime[Range[200]], PrimeQ[# + 26] &]
%o (Magma) [NthPrime(n): n in [1..250] | IsPrime(NthPrime(n)+26)];
%Y Cf. sequences of the type p+n are primes: A001359 (n=2), A023200 (n=4), A023201 (n=6), A023202 (n=8), A023203 (n=10), A046133 (n=12), A153417 (n=14), A049488 (n=16), A153418 (n=18), A153419 (n=20), A242476 (n=22), A033560 (n=24), this sequence (n=26), A252090 (n=28), A049481 (n=30), A049489 (n=32), A252091 (n=34), A156104 (n=36); A062284 (n=50), A049490 (n=64), A156105 (n=72), A156107 (n=144).
%K nonn,easy
%O 1,1
%A _Vincenzo Librandi_, Dec 14 2014