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 A122464 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. 2
 4, 50, 134850, 116026275, 138982583000, 1348770149848002 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The fifth term was found by R. Gerbicz, the others were found by F. Schneider. LINKS Fred Schneider and R. Gerbicz, Smooth Power Trios. EXAMPLE 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. CROSSREFS Cf. A122463, A122465. Sequence in context: A193157 A235604 A221477 * A226375 A048995 A215639 Adjacent sequences:  A122461 A122462 A122463 * A122465 A122466 A122467 KEYWORD hard,more,nonn AUTHOR Fred Schneider, Sep 09 2006 STATUS approved

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