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.

4, 50, 134850, 116026275, 138982583000, 1348770149848002

Offset: 1

Author

Fred Schneider, Sep 09 2006

Keywords

• hard
• more
• nonn

Comments

The fifth term was found by R. Gerbicz, the others were found by F. Schneider.

Examples

			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.
		

Links

• Fred Schneider and R. Gerbicz, Smooth Power Trios.

Crossrefs

Cf. A122463, A122465.