A162644 - OEIS

A162644

Numbers m such that A162511(m) = +1.

1, 2, 3, 5, 6, 7, 8, 10, 11, 13, 14, 15, 17, 19, 21, 22, 23, 24, 26, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 46, 47, 51, 53, 54, 55, 56, 57, 58, 59, 61, 62, 65, 66, 67, 69, 70, 71, 73, 74, 77, 78, 79, 82, 83, 85, 86, 87, 88, 89, 91, 93, 94, 95, 96, 97, 100

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OFFSET

1,2

COMMENTS

Also numbers n with A008836(n)=(-1)^A001221(n). - Enrique Pérez Herrero, Aug 03 2012

This sequence has an asymptotic density (1 + A065472/zeta(2))/2 = 0.735840... (Mossinghoff and Trudgian, 2019). - Amiram Eldar, Jul 07 2020

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

Michael J. Mossinghoff and Timothy S. Trudgian, A tale of two omegas, arXiv:1906.02847 [math.NT], 2019.

MATHEMATICA

Select[Range[100], EvenQ[PrimeOmega[#] - PrimeNu[#]] &] (* Amiram Eldar, Jul 07 2020 *)

CROSSREFS

Complement of A162645.

A002035 is a subsequence.

Cf. A008836, A001221, A036537, A065472.

Sequence in context: A348751 A348738 A239161 * A268335 A002035 A336591

Adjacent sequences: A162641 A162642 A162643 * A162645 A162646 A162647

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Jul 08 2009

STATUS

approved