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Search: id:A067822
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| A067822 |
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The start of a record-breaking run of consecutive integers with a number of prime factors equal to 7. |
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+0
6
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| 128, 29888, 3145310, 296299374, 15605704374, 242576758750, 1981162639374
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(8) > 10^13. [From Donovan Johnson (donovan.johnson(AT)yahoo.com), Jan 31 2009]
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EXAMPLE
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a(3)=3145310 because 3145310 is the start of a record breaking run of 3 consecutive integers (3145310 to 3145312) each having 7 prime factors; i.e. bigomega(n)=A001222(n)=7 for n = 3145310, ..., 3145312.
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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]==7, 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, A067821.
Sequence in context: A016747 A144321 A051251 this_sequence A013996 A016795 A016831
Adjacent sequences: A067819 A067820 A067821 this_sequence A067823 A067824 A067825
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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) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Jan 31 2009
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