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A056813
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Largest non-unitary prime factor of LCM[1,...,n]; i.e. the largest prime which occurs to power > 1 in prime factorization of LCM[1,..,n].
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0
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1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| For n>0, p(n) appears {(p(n+1))^2 - (p(n))^2} times [from n=(p(n))^2 to n=(p(n+1))^2 - 1], i.e., A000040(n) appears A069482(n) times[from n=A001248(n) to n=A084920(n+1)] - Lekraj Beedassy (blekraj(AT)yahoo.com), Mar 31 2005
a(n) is the largest prime factor of A045948(n). [From Matthew Vandermast (ghodges14(AT)comcast.net), Oct 29 2008]
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FORMULA
| a(n)=p(w) if p(w)^2 <= n < p(w+1)^2.
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EXAMPLE
| The j-th prime appears at the position of its square, at n=P(j)^2.
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CROSSREFS
| Cf. A054041, A056170.
Sequence in context: A137921 A064876 A105517 * A125269 A077430 A105513
Adjacent sequences: A056810 A056811 A056812 * A056814 A056815 A056816
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Aug 28 2000
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