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Indices of the primes in A181424.
5

%I #7 Nov 22 2022 22:20:13

%S 4,17,38,41,48,56,57,75,104,109,112,120,131,162,166,186,189,196,201,

%T 220,241,273,274,293,341,360,389,421,428,466,467,510,522,555,601,607,

%U 623,631,635,669,684,685,704,711,712,735,763,793,815,823,824,831,832

%N Indices of the primes in A181424.

%C This sequence, together with A358529 and A358531, partition the set of positive integers >= 3.

%F a(n) = A064113(n) + 2.

%e n 1 2 3 4 5 6 7

%e k 4 17 38 41 48 56 57

%e p(n) 7 59 163 179 223 263 269

%t t = Select[2 + Range[1440],

%t Prime[#] - Prime[# - 1] == Prime[# - 1] - Prime[# - 2] &] (* A356347 *)

%t Prime[t] (* A181424 *)

%Y Cf. A064113, A358528, A358529, A358530, A358531, A181424.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, Nov 21 2022