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Search: id:A067820
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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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+0
6
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| 32, 944, 15470, 57967, 632148, 14845324, 69921004, 888781058, 2674685524, 10077383364, 21117216104, 393370860205
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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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
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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
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Cf. A067813, A067814, A067821, A067822.
Adjacent sequences: A067817 A067818 A067819 this_sequence A067821 A067822 A067823
Sequence in context: A087423 A004384 A139677 this_sequence A115612 A063818 A065552
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KEYWORD
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fini,more,nonn
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AUTHOR
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Shyam Sunder Gupta (guptass(AT)rediffmail.com), Feb 07 2002
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EXTENSIONS
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Edited by Dean Hickerson (dean(AT)math.ucdavis.edu), Jul 31 2002
More terms from Jens Kruse Andersen (jens.k.a(AT)get2net.dk), Aug 23 2003
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