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A074270
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a(n) = the least positive number X such that Cn(X) is X-smooth, where Cn is the n-th cyclotomic polynomial and "X-smooth" means "has no prime factor greater than X".
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0
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OFFSET
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1,1
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COMMENTS
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Inspired by a conjecture of David W. Wilson: for each nonzero polynomial P with integer coefficients, there is an integer X such that P(X) is X-smooth. Certain cyclotomic polynomials seem to stress the conjecture, but no refutation is yet known. If a(11) exists, it is greater than 1,060,000.
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LINKS
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Table of n, a(n) for n=1..10.
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EXAMPLE
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a(5)=2205 because C5(2205) = 23650012729981 = 11*11*31*61*101*691*1481; and no prime factor is greater than 2205.
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CROSSREFS
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Sequence in context: A128537 A220849 A066841 * A007120 A092973 A126007
Adjacent sequences: A074267 A074268 A074269 * A074271 A074272 A074273
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KEYWORD
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nonn
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AUTHOR
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Don Reble (djr(AT)nk.ca), Sep 20 2002
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STATUS
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approved
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