# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/

Search: id:a358530
Showing 1-1 of 1

%I A358530 #18 Sep 22 2024 02:29:48
%S A358530 13,19,31,41,43,61,71,73,83,101,103,109,131,139,151,167,181,193,199,
%T A358530 227,229,241,257,271,281,283,311,313,337,349,373,383,401,421,433,443,
%U A358530 461,463,487,491,503,523,547,563,571,593,601,617,619,641,643,661,677
%N A358530 a(n) = n-th prime prime(k) such that prime(k) - prime(k-1) < prime(k-1) - prime(k-2).
%C A358530 This sequence, together with A358528 and A181424, partition the set of primes >= 5. The corresponding sequences of indices, A358531, A358529, and A356347, partition the set of positive integers >= 3.
%F A358530 a(n) = A151800(A051634(n)). - _Andrew Howroyd_, Sep 21 2024
%e A358530   n           1   2   3   4   5   6   7
%e A358530   k           6   8  11  13  14  18  20
%e A358530   prime(n)   13  19  31  41  43  61  71
%t A358530 t = Select[2 + Range[140],
%t A358530 Prime[#] - Prime[# - 1] < Prime[# - 1] - Prime[# - 2] &]  (* A358531 *)
%t A358530 Prime[t]  (* A358530 *)
%Y A358530 Cf. A001223, A051634, A079419, A358528, A358529, A358531, A181424, A356347.
%K A358530 nonn,easy
%O A358530 1,1
%A A358530 _Clark Kimberling_, Nov 21 2022
%E A358530 Incorrect formula removed by _Georg Fischer_, Sep 21 2024

# Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE