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A356271 Prime numbers in the sublists defined in A348168 that contain a single prime. 1
2, 3, 5, 7, 23, 53, 89, 157, 173, 211, 293, 353, 359, 409, 449, 683, 691, 839, 919, 977, 983, 1039, 1069, 1103, 1109, 1201, 1223, 1237, 1283, 1327, 1381, 1439, 1459, 1511, 1613, 1627, 1637, 1709, 2039, 2099, 2179, 2213, 2221, 2243, 2251, 2273, 2447, 2633, 2917 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
It seems that lim_{n->oo} n/primepi(a(n)) = 0.102 approximately.
LINKS
Table of n, a(n) for n=1..49.
PROG
(Python)
from sympy import nextprime; R = [2]; p0 = 2
while len(R) < 50:
p1 = nextprime(p0); p = nextprime(p1); g1 = p - p1
if g1 >= p1 - p0: R.append(p1)
else:
while p - p1 <= g1: p1 = p; p = nextprime(p)
p0 = p1
print(*R, sep = ', ')
CROSSREFS
Cf. A348168.
Sequence in context: A120805 A177119 A096265 * A056041 A083017 A006510
Adjacent sequences: A356268 A356269 A356270 * A356272 A356273 A356274
KEYWORD
nonn
AUTHOR
Ya-Ping Lu, Aug 01 2022
STATUS
approved

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Last modified August 29 11:15 EDT 2024. Contains 375512 sequences. (Running on oeis4.)