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Search: id:A067821
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| A067821 |
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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 6. |
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+0
6
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| 64, 5264, 33614, 8706123, 101905622, 4843161124, 25189114374, 412352139170, 1122875553872
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(10) > 10^13. [From Donovan Johnson (donovan.johnson(AT)yahoo.com), Jan 31 2009]
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EXAMPLE
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a(3)=33614 because 33614 is the start of a record breaking run of 3 consecutive integers (33614 to 33616) each having 6 prime factors; i.e. bigomega(n)=A001222(n)=6 for n = 33614, ..., 33616.
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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]==6, l++, If[l>m, m=l; Print[n-l, " ", l]]; l=0]]
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CROSSREFS
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Cf. A067813, A067814, A067820, A067822.
Sequence in context: A099369 A146496 A058874 this_sequence A009823 A085525 A013995
Adjacent sequences: A067818 A067819 A067820 this_sequence A067822 A067823 A067824
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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.hickerson(AT)yahoo.com), Jul 31 2002
More terms from Jens Kruse Andersen (jens.k.a(AT)get2net.dk), Aug 23 2003
a(7)-a(9) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Jan 31 2009
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