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Search: id:A100383
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| A100383 |
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Numbers n such that Lpf[n]<Lpf[n+1]<...<Lpf[n+9], where Lpf[x]=A00530[x], the largest prime factor of x. Numbers initiating an uphill-Lpf-run of length 10. |
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1
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| 721970, 1091150, 6449639, 6449640, 10780550, 12161824, 15571630, 17332430, 23189750, 24901256, 28262037, 30275508, 30814114, 32184457, 32608598, 35323087, 35725704, 38265227, 38896955, 69845438, 71040720, 74345936
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Analogous chains of length 3 [See A071869] are infinite as shown by Erdos and Pomerance (1978). What is true for longer successions of length=4,5,...?
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REFERENCES
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Erdos P. and Pomerance C., "On the largest prime factors of n and n+1", Aequationes Math. vol. 17, 1978, pp. 311-321.
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EXAMPLE
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n=85293163: the corresponding uphill-run of Lpf-s is [739,5197,6311,7457,8537,1776941,6561013,8529317,9477019,21323293]
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CROSSREFS
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Cf. A006530, A071869, A070089, A100376, A100384.
Sequence in context: A015346 A153580 A153581 this_sequence A156867 A156868 A107447
Adjacent sequences: A100380 A100381 A100382 this_sequence A100384 A100385 A100386
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Dec 09 2004
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