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A067814
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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 4.
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5
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16, 135, 1274, 4023, 12122, 204323, 355923, 3405122, 49799889, 202536181, 3195380868, 5208143601, 85843948321, 97524222465
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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EXAMPLE
| a(4)=4023 because 4023 is the start of a record breaking run of 4 consecutive integers (4023 to 4026) each having 4 prime factors; i.e. bigomega(n)=A001222(n)=4 for n = 4023, ..., 4026.
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MATHEMATICA
| bigomega[n_] := Plus@@Last/@FactorInteger[n]; For[n=1; m=l=0, True, n++, If[bigomega[n]==4, l++, If[l>m, m=l; Print[n-l, " ", l]]; l=0]]
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CROSSREFS
| Cf. A067813, A067820, A067821, A067822.
Sequence in context: A162327 A161876 A110274 * A139616 A187175 A059421
Adjacent sequences: A067811 A067812 A067813 * A067815 A067816 A067817
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KEYWORD
| fini,full,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 Don Reble (djr(AT)nk.ca), Aug 11 2002, who remarks that the sequence is now complete.
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