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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
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.
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
Sequence in context: A275272 A329954 A362850 * A067910 A171574 A354800
KEYWORD
nonn
AUTHOR
Ya-Ping Lu, Oct 23 2020
STATUS
approved