%I
%S 2,3,5,7,11,13,19,31,109,139,149,179,199,229,239,683,739,809,823,907,
%T 977,991,1019,1033,1061,1103,1117,1187,1201,1229,1327,1439,1453,1481,
%U 1523,1579,1607,1621,1663,1733,1747,1789,4931,4967,5003,5021,5039,5147,5237
%N The prime numbers in A158923.
%C This sequence is consists of the prime numbers in A158923, in which A158923(m) is the sum of the previous term A158923(m1) and the average prime gap log(A158923(m1)) rounded to the nearest integer with A158923(1) = 2.
%o (Python)
%o from sympy import isprime
%o from math import log
%o print(2)
%o a_last = p_last = m = 2
%o n = 1
%o while m >= 2:
%o a = a_last + int(log(a_last) + 0.5)
%o if isprime(a) == 1:
%o print(a)
%o n += 1
%o a_last = a
%o m += 1
%Y Cf. A000040, A158923.
%K nonn
%O 1,1
%A _YaPing Lu_, Oct 23 2020
