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Search: id:A061212
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| A061212 |
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The cubes with the property that the sum of the cubes of the digits is also a cube. |
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2
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OFFSET
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0,2
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COMMENT
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It has been established in the reference that the sequence is infinite. (1) The number {3(10^(k+2)+1)}^3 for all k produces such numbers. (2) Nontrivial example. It is established that {10^(n+2) - 4}^3 is a member of this sequence for n = 4x{(10^3k -1)/27}-1, for all k. And the sum of the cubes of the digits ={6x10^K}^3.
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REFERENCES
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Amarnath Murthy, Smarandache Fermat Additive cubic sequence. (To be published in Smarandache Notions Journal.)
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LINKS
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M. L. Perez et al., eds., Smarandache Notions Journal
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EXAMPLE
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474552= 78^3, and 4^3+7^3+4^3+5^3+5^3+2^3 = 729 = 9^3.
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CROSSREFS
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Sequence in context: A123651 A013846 A131677 this_sequence A003836 A072315 A076916
Adjacent sequences: A061209 A061210 A061211 this_sequence A061213 A061214 A061215
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KEYWORD
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nonn,base
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 21 2001
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