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A122464
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Smooth Power Trios: a(n) is the largest of three successive numbers a(n)-j, j=0..2, such that the largest prime factor of a(n)-j is <= the n-th root of a(n)-j.
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2
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OFFSET
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1,1
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COMMENTS
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The fifth term was found by R. Gerbicz, the others were found by F. Schneider.
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LINKS
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EXAMPLE
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Example for n=6:
1348770149848002 = 2 x 3 x 7 x 23 x 41 x 61^2 x 149 x 239 x 257,
1348770149848001 = 19^3 x 89 x 103 x 229 x 283 x 331,
1348770149848000 = 2^6 x 5^3 x 11 x 29 x 109 x 151 x 163 x 197,
This satisfies because 331 <= floor(1348770149848000^(1/6)) = 332.
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CROSSREFS
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KEYWORD
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hard,more,nonn
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AUTHOR
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STATUS
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approved
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