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%I #25 Jan 02 2020 12:07:28
%S 69593,110651,134609,228647,237791,250889,303157,318919,396449,421913,
%T 498271,507431,535243,554317,629623,642427,642457,668243,692161,
%U 716003,729791,780523,782581,790897,801217,825131,829289,847393,892291,902873,940097,942449,963913,995243,1027067
%N Primes p such that p, p+30, p+60 are consecutive primes.
%H Zak Seidov, <a href="/A052195/b052195.txt">Table of n, a(n) for n = 1..1000</a>
%H 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 69593, 69623, 69653 are consecutive primes with equal distance d=30.
%e 110651, 110681 and 110711 are consecutive primes with equal distance d=30.
%t Select[Partition[Prime[Range[80000]],3,1],Differences[#]=={30,30}&][[All,1]] (* _Harvey P. Dale_, May 03 2018 *)
%o (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 Cf. A047948 (analog for gap 6), A052188 (gap 12), A052189 (gap 18), A052190 (gap 24), A053075 (a(n) + 30).
%Y Cf. A001223 (gaps), A124596 (primes followed by gap 30), A052243 (quadruplets with gap 30), A033451 (quadruplets with gap 6).
%K nonn
%O 1,1
%A _Labos Elemer_, Jan 28 2000
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