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A356347 Indices of the primes in A181424.

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%I A356347 #7 Nov 22 2022 22:20:13
%S A356347 4,17,38,41,48,56,57,75,104,109,112,120,131,162,166,186,189,196,201,
%T A356347 220,241,273,274,293,341,360,389,421,428,466,467,510,522,555,601,607,
%U A356347 623,631,635,669,684,685,704,711,712,735,763,793,815,823,824,831,832
%N A356347 Indices of the primes in A181424.
%C A356347 This sequence, together with A358529 and A358531, partition the set of positive integers >= 3.
%F A356347 a(n) = A064113(n) + 2.
%e A356347   n     1    2    3    4    5    6   7
%e A356347   k     4   17   38   41   48   56  57
%e A356347   p(n)  7   59  163  179  223  263 269
%t A356347 t = Select[2 + Range[1440],
%t A356347 Prime[#] - Prime[# - 1] == Prime[# - 1] - Prime[# - 2] &]  (* A356347 *)
%t A356347 Prime[t]  (* A181424 *)
%Y A356347 Cf. A064113, A358528, A358529, A358530, A358531, A181424.
%K A356347 nonn,easy
%O A356347 1,1
%A A356347 _Clark Kimberling_, Nov 21 2022