login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A358529
Indices of the primes in A358528.
5
3, 5, 7, 9, 10, 12, 15, 16, 19, 22, 24, 25, 28, 30, 31, 33, 35, 37, 40, 43, 45, 47, 51, 52, 54, 59, 62, 63, 66, 67, 69, 71, 72, 73, 77, 78, 80, 81, 83, 85, 87, 88, 91, 92, 95, 97, 98, 100, 102, 106, 107, 111, 115, 118, 119, 122, 124, 125, 126, 128, 133, 136
OFFSET
1,1
COMMENTS
This sequence, together with A358531 and A356347, partition the set of positive integers >= 3.
FORMULA
a(n) = A233671(n) + 1.
EXAMPLE
n 1 2 3 4 5 6 7
k 3 5 7 9 10 12 15
p(n) 5 11 17 23 29 37 47
MATHEMATICA
t = Select[2 + Range[140],
Prime[#] - Prime[# - 1] > Prime[# - 1] - Prime[# - 2] &] (* A358529 *)
Prime[t] (* A358528 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Nov 21 2022
STATUS
approved