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A272816 Prime pairs of the form (p, p+20).

%I A272816 #37 Sep 08 2022 08:46:16
%S A272816 3,23,11,31,17,37,23,43,41,61,47,67,53,73,59,79,83,103,89,109,107,127,
%T A272816 131,151,137,157,173,193,179,199,191,211,251,271,257,277,263,283,293,
%U A272816 313,311,331,317,337,347,367,353,373,359,379,389,409,401,421
%N A272816 Prime pairs of the form (p, p+20).
%C A272816 p and p+20 are not necessarily consecutive primes: (887, 907) is the first pair of consecutive primes that belongs to the sequence.
%H A272816 Seiichi Manyama, <a href="/A272816/b272816.txt">Table of n, a(n) for n = 1..10000</a>
%F A272816 a(2n+1) = A153419(n+1).
%e A272816 The prime pairs are (3, 23), (11, 31), (17, 37) etc.
%t A272816 Flatten[{#, # + 20}&/@Select[Prime[Range[200]], PrimeQ[# + 20] &]]
%o A272816 (Magma) &cat [[p, p+20]: p in PrimesUpTo(1000) | IsPrime(p+20)];
%o A272816 (Python)
%o A272816 from gmpy2 import is_prime
%o A272816 for n in range(1000):
%o A272816    if(is_prime(n) and is_prime(n+20)):
%o A272816       print('{}, {}'.format(n,n+20),end=', ')
%o A272816 # _Soumil Mandal_, May 14 2016
%Y A272816 Cf. A000040, A153419.
%Y A272816 Cf. similar sequences listed in A272815.
%Y A272816 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), A272815 (k=16), A156328 (k=18), this sequence (k=20), A140447 (k=22).
%K A272816 nonn,easy
%O A272816 1,1
%A A272816 _Vincenzo Librandi_, May 07 2016
%E A272816 Edited by _Bruno Berselli_, May 12 2016