A338396 The prime numbers in A158923.

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

Offset: 1

Author

Ya-Ping Lu, Oct 23 2020

Keywords

• nonn

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.

Crossrefs

Cf. A000040, A158923.

Programs

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