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A338396 The prime numbers in A158923. 1
2, 3, 5, 7, 11, 13, 19, 31, 109, 139, 149, 179, 199, 229, 239, 683, 739, 809, 823, 907, 977, 991, 1019, 1033, 1061, 1103, 1117, 1187, 1201, 1229, 1327, 1439, 1453, 1481, 1523, 1579, 1607, 1621, 1663, 1733, 1747, 1789, 4931, 4967, 5003, 5021, 5039, 5147, 5237 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This sequence is consists of the prime numbers in A158923, in which A158923(m) is the sum of the previous term A158923(m-1) and the average prime gap log(A158923(m-1)) rounded to the nearest integer with A158923(1) = 2.

LINKS

Table of n, a(n) for n=1..49.

PROG

(Python)

from sympy import isprime

from math import log

print(2)

a_last = p_last = m = 2

n = 1

while m >= 2:

    a = a_last + int(log(a_last) + 0.5)

    if isprime(a) == 1:

        print(a)

        n += 1

    a_last = a

    m += 1

CROSSREFS

Cf. A000040, A158923.

Sequence in context: A020616 A275272 A329954 * A067910 A171574 A280937

Adjacent sequences:  A338393 A338394 A338395 * A338397 A338398 A338399

KEYWORD

nonn

AUTHOR

Ya-Ping Lu, Oct 23 2020

STATUS

approved

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Last modified May 13 22:47 EDT 2021. Contains 343868 sequences. (Running on oeis4.)