A356271 Prime numbers in the sublists defined in A348168 that contain a single prime.

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

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