A066793 The start of a record-breaking run of consecutive integers with an even number of prime factors.

1, 9, 14, 33, 54, 140, 213, 1934, 35811, 38405, 200938, 389409, 1792209, 5606457, 8405437, 68780189, 880346227, 85910903650, 87635944146, 284340107954, 2195312273836, 2864568747364, 3155591650029

Offset: 1

Author

G. L. Honaker, Jr., Jan 18 2002

Keywords

• nonn

Comments

a(21) > 10^12. [From Donovan Johnson, Oct 11 2010]

a(24) > 10^13. - Giovanni Resta, Aug 01 2013

Prime factors counted with multiplicity. - Harvey P. Dale, Sep 06 2022

Crossrefs

Cf. A066794, A175201.

Programs

Mathematica

Table[SequencePosition[If[EvenQ[#],1,0]&/@PrimeOmega[Range[40000]],PadRight[{},n,1],1][[All,1]],{n,14}]//Flatten//Union (* The program generates the first 10 terms of the sequence. *) (* Harvey P. Dale, Sep 06 2022 *)

Extensions

Except for first 4 or 5 terms, computed by Shyam Sunder Gupta, Jan 26 2002

a(12) and a(14) corrected and a(18)-a(20) from Donovan Johnson, Oct 11 2010

a(21)-a(23) from Giovanni Resta, Aug 01 2013