A272815 - OEIS

%I #32 Sep 08 2022 08:46:16

%S 3,19,7,23,13,29,31,47,37,53,43,59,67,83,73,89,97,113,151,167,157,173,

%T 163,179,181,197,211,227,223,239,241,257,277,293,331,347,337,353,367,

%U 383,373,389,433,449,463,479,487,503,541,557,547,563,571

%N Prime pairs of the form (p, p+16).

%C p and p+16 are not necessarily consecutive primes: (1831, 1847) is the first pair of consecutive primes that belongs to the sequence.

%H Seiichi Manyama, <a href="/A272815/b272815.txt">Table of n, a(n) for n = 1..10000</a>

%F a(2n+1) = A049488(n+1).

%e The prime pairs are (3, 19), (7, 23), (13, 29) etc.

%t Flatten[{#, # + 16}&/@Select[Prime[Range[200]], PrimeQ[# + 16] &]]

%o (Magma) &cat [[p,p+16]: p in PrimesUpTo(1000) | IsPrime(p+16)];

%Y Cf. A000040, A049488.

%Y Cf. prime pairs of the form (p, p+k): A077800 (k=2), A094343 (k=4), A156274 (k=6), A156320 (k=8), A140445 (k=10), A156323 (k=12), A140446 (k=14), this sequence (k=16), A156328 (k=18), A272816 (k=20), A140447 (k=22).

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, May 07 2016