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A289182
Positions of odd semiprimes in A001358.
14
3, 6, 7, 9, 11, 13, 15, 17, 18, 19, 20, 23, 24, 26, 28, 30, 31, 32, 34, 36, 37, 39, 40, 42, 43, 44, 46, 48, 49, 51, 53, 54, 56, 57, 59, 60, 61, 63, 65, 66, 68, 69, 71, 72, 74, 75, 77, 78, 79, 80, 81, 83, 85, 86, 89, 90, 91, 92, 94, 95, 97, 98
OFFSET
1,1
COMMENTS
Complement to A115392.
FORMULA
a(n) ~ n. - Charles R Greathouse IV, Jul 02 2017
MATHEMATICA
sp=Select[Range[4, 1000], 2==PrimeOmega[#]&]; Flatten[Position[Mod[sp, 2], 1]]
PROG
(PARI) lista(nn) = vsp = select(x->(bigomega(x)==2), vector(nn, k, k)); select(x->(x%2), vsp, 1); \\ Michel Marcus, Jul 02 2017
(Python)
from math import isqrt
from sympy import primepi, primerange
def A289182(n):
def iterfun(f, n=0):
m, k = n, f(n)
while m != k: m, k = k, f(k)
return m
def f(x): return int(-((t:=primepi(s:=isqrt(x)))*(t-1)>>1)+sum(primepi(x//p) for p in primerange(3, s+1)))
return f(m:=iterfun(lambda x:int(n+x-f(x)), n))+primepi(m>>1) # Chai Wah Wu, Apr 03 2025
CROSSREFS
Sequence in context: A221264 A026415 A026406 * A188974 A047558 A160217
KEYWORD
nonn
AUTHOR
Zak Seidov, Jun 27 2017
STATUS
approved