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A080282
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Numbers n such that log(n) + log_10(n) is closer to its nearest integer than any value of log(k) + log_10(k) for 1 < = k < n.
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1
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2, 132, 264, 531, 8636, 69934, 140437, 282017, 566329, 1137266, 2283785, 4586151, 37138783, 74579724, 149766223, 603948755, 2435489735, 9821380043, 19722666141, 39605794500, 159714719422, 320728866517, 320728866518
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OFFSET
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1,1
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COMMENTS
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log(320728866518) + log_10(320728866518) = 38.00000000000122913669...
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LINKS
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EXAMPLE
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Interestingly, values of n that satisfy the criterion seem to start appearing in pairs if this sequence is extended further.
For example, the values 320728866517 and 320728866518 and later on the values 11169523543872502 and 11169523543872503. Many more of these n, n+1 pairs crop up in the sequence.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Mark Hudson (mrmarkhudson(AT)hotmail.com), Feb 13 2003
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EXTENSIONS
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Still more terms from Mark Hudson, Aug 26 2004
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STATUS
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approved
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