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A358973
Numbers of the form m + omega(m) with m a positive integer.
1
1, 3, 4, 5, 6, 8, 9, 10, 12, 14, 16, 17, 18, 20, 22, 23, 24, 26, 28, 30, 32, 33, 35, 36, 37, 38, 40, 41, 42, 44, 45, 46, 47, 48, 50, 52, 53, 54, 56, 57, 58, 59, 60, 62, 63, 64, 65, 67, 68, 69, 70, 71, 72, 73, 74, 76, 77, 78, 79, 80, 81, 82
OFFSET
1,2
LINKS
Petr Kucheriaviy, On numbers not representable as n + ω(n), arXiv preprint (2022). arXiv:2203.12006 [math.NT]
FORMULA
Kucheriaviy proves that a(n) << n log log n and conjectures that a(n) ≍ n, that is, these numbers have positive lower density.
PROG
(PARI) list(lim)=my(v=List()); forfactored(n=1, lim\1-1, my(t=n[1]+omega(n)); if(t<=lim, listput(v, t))); Set(v)
CROSSREFS
Cf. A337455.
Sequence in context: A184484 A253897 A100966 * A063977 A371663 A290136
KEYWORD
nonn
AUTHOR
STATUS
approved