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A067820
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The start of a record-breaking run of consecutive integers with a number of prime factors (counted with multiplicity) equal to 5.
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5
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32, 944, 15470, 57967, 632148, 14845324, 69921004, 888781058, 2674685524, 10077383364, 21117216104, 393370860205, 3157222675953, 5509463413255
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| a(15) > 10^13. [From Donovan Johnson (donovan.johnson(AT)yahoo.com), Jan 31 2009]
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EXAMPLE
| a(3)=15470 because 15470 is the start of a record breaking run of 3 consecutive integers (15470 to 15472) each having 5 prime factors; i.e. bigomega(n)=A001222(n)=5 for n = 15470, ..., 15472.
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MATHEMATICA
| bigomega[n_] := Plus@@Last/@FactorInteger[n]; For[n=1; m=l=0, True, n++, If[bigomega[n]==5, l++, If[l>m, m=l; Print[n-l, " ", l]]; l=0]]
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CROSSREFS
| Cf. A067813, A067814, A067821, A067822.
Sequence in context: A139677 A203957 A160314 * A115612 A162836 A163215
Adjacent sequences: A067817 A067818 A067819 * A067821 A067822 A067823
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KEYWORD
| fini,more,nonn
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AUTHOR
| Shyam Sunder Gupta (guptass(AT)rediffmail.com), Feb 07 2002
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EXTENSIONS
| Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Jul 31 2002
More terms from Jens Kruse Andersen (jens.k.a(AT)get2net.dk), Aug 23 2003
a(13)-a(14) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Jan 31 2009
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