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A067813 Start of a record-breaking run of consecutive integers with a number of prime factors (counted with multiplicity) equal to 3. 11
8, 27, 170, 602, 2522, 211673 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

602 is the first number having 4 and 5 consecutive integers with 3 prime factors. - T. D. Noe, Mar 19 2014

LINKS

Table of n, a(n) for n=1..6.

EXAMPLE

a(4)=602 because 602 is the start of a record breaking run of 5 consecutive integers (602 to 606) each having 3 prime factors; i.e. bigomega(n)=A001222(n)=3 for n = 602, ..., 606.

MATHEMATICA

bigomega[n_] := Plus@@Last/@FactorInteger[n]; For[n=1; m=l=0, True, n++, If[bigomega[n]==3, l++, If[l>m, m=l; Print[n-l, " ", l]]; l=0]]

CROSSREFS

Cf. A067814, A067820, A067821, A067822.

Sequence in context: A056570 A165048 A066963 * A304769 A118720 A197620

Adjacent sequences:  A067810 A067811 A067812 * A067814 A067815 A067816

KEYWORD

fini,full,nonn

AUTHOR

Shyam Sunder Gupta, Feb 07 2002

EXTENSIONS

Edited by Dean Hickerson, Jul 31 2002

STATUS

approved

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Last modified March 26 12:43 EDT 2019. Contains 321497 sequences. (Running on oeis4.)