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 A358530 a(n) = n-th prime p(k) such that p(k) - p(k-1) < p(k-1) - p(k-2). 5
 13, 19, 31, 41, 43, 61, 71, 73, 83, 101, 103, 109, 131, 139, 151, 167, 181, 193, 199, 227, 229, 241, 257, 271, 281, 283, 311, 313, 337, 349, 373, 383, 401, 421, 433, 443, 461, 463, 487, 491, 503, 523, 547, 563, 571, 593, 601, 617, 619, 641, 643, 661, 677 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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. LINKS FORMULA a(n) = A051634(n) + 2. EXAMPLE n 1 2 3 4 5 6 7 k 6 8 11 13 14 18 20 p(n) 13 19 31 41 43 61 71 MATHEMATICA t = Select[2 + Range[140], Prime[#] - Prime[# - 1] < Prime[# - 1] - Prime[# - 2] &] (* A358531 *) Prime[t] (* A358530 *) CROSSREFS Cf. A001223, A051634, A079419, A358528, A358529, A358531, A181424, A356347. Sequence in context: A085413 A342943 A244311 * A164333 A182365 A069324 Adjacent sequences: A358527 A358528 A358529 * A358531 A358532 A358533 KEYWORD nonn,easy AUTHOR Clark Kimberling, Nov 21 2022 STATUS approved

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Last modified March 28 13:18 EDT 2023. Contains 361585 sequences. (Running on oeis4.)