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.
%I A052195 #38 Feb 28 2025 05:56:11 %S A052195 69593,110651,134609,228647,237791,250889,303157,318919,396449,421913, %T A052195 498271,507431,535243,554317,629623,642427,642457,668243,692161, %U A052195 716003,729791,780523,782581,790897,801217,825131,829289,847393,892291,902873,940097,942449,963913,995243,1027067 %N A052195 Primes p such that p, p+30, p+60 are consecutive primes. %H A052195 Amiram Eldar, <a href="/A052195/b052195.txt">Table of n, a(n) for n = 1..10000</a> (terms 1..1000 from Zak Seidov) %H A052195 OEIS wiki, <a href="/wiki/Consecutive_primes_in_arithmetic_progression#CPAP_with_given_gap">Consecutive primes in arithmetic progression: CPAP with given gap</a>, updated Jan. 2020. %F A052195 { A124596(n) | A124596(n+1) = A124596(n) + 30 }. - _M. F. Hasler_, Jan 02 2020 %e A052195 69593, 69623, 69653 are consecutive primes with equal distance d = 30. %e A052195 110651, 110681 and 110711 are consecutive primes with equal distance d = 30. %t A052195 Select[Partition[Prime[Range[80000]],3,1],Differences[#]=={30,30}&][[All,1]] (* _Harvey P. Dale_, May 03 2018 *) %o A052195 (PARI) vecextract(A124596, select(t->t==30, A124596[^1]-A124596[^-1],1)) \\ Terms of A124596 with indices of first differences of 30. Gives a(1..230) from A124596(1..10^4). - _M. F. Hasler_, Jan 02 2020 %Y A052195 Subsequence of A124596 (primes followed by gap 30). %Y A052195 Cf. A047948 (analog for gap 6), A052188 (gap 12), A052189 (gap 18), A052190 (gap 24), A053075 (a(n) + 30). %Y A052195 Cf. A001223 (gaps), A052243 (quadruplets with gap 30), A033451 (quadruplets with gap 6). %K A052195 nonn %O A052195 1,1 %A A052195 _Labos Elemer_, Jan 28 2000