cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A052197 Primes p such that p, p+36, p+72 are consecutive primes.

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%I A052197 #29 Feb 28 2025 05:55:51
%S A052197 255767,704321,806821,884501,913067,1065137,1216177,1448497,1526191,
%T A052197 1532471,1640971,1918571,2071087,2275067,2276431,2336671,2347591,
%U A052197 2376721,2778547,3098561,3190601,3248941,3259001,3452107,3558481
%N A052197 Primes p such that p, p+36, p+72 are consecutive primes.
%C A052197 Old name was: Primes p(k) such that p(k+2)-p(k+1)=p(k+1)-p(k)=36.
%H A052197 Amiram Eldar, <a href="/A052197/b052197.txt">Table of n, a(n) for n = 1..10000</a> (terms 1..3000 from Zak Seidov)
%e A052197 a(3) = 704321 is followed by 704357 and 704393, consecutive primes with equal distance of d = 36.
%t A052197 Select[Partition[Prime[Range[255000]],3,1],Differences[#]=={36,36}&][[All,1]] (* _Harvey P. Dale_, Feb 16 2018 *)
%o A052197 (PARI) is(n)=nextprime(n+1)==n+36 && nextprime(n+37)==n+72 && isprime(n) \\ _Charles R Greathouse IV_, Jan 07 2013
%Y A052197 Subsequence of A134117.
%Y A052197 Cf. A001223, A033451, A047948, A052195.
%K A052197 nonn
%O A052197 1,1
%A A052197 _Labos Elemer_, Jan 28 2000
%E A052197 New name from _Charles R Greathouse IV_, Jan 07 2013