A330482 Earliest start of a run of n numbers divisible by a sixth power larger than one.

64, 16767, 26890623, 1507545109375, 777562026420218750, 283435321166212288109372

Offset

1,1

Comments

De Konnick's book gives probable terms a(5)=777562026420218750 and a(6)=283435321166212288109372.

References

J.-M. De Koninck, Those Fascinating Numbers, Entry 242, p. 63, Amer. Math. Soc., 2009.

Links

Table of n, a(n) for n=1..6.

Jean-Marie De Koninck, Those Fascinating Numbers, Amer. Math. Soc., (2009), page 63.

Example

26890623 is divisible by 3^6, 26890624 is divisible by 2^6, and 26890625 is divisible by 5^6.  This is the smallest number with this property, so a(3) = 26890623.

Crossrefs

Cf. A001014, A088080, A174113.

Cf. A045882, A271443, A330480, A330481, A330486, A330483, A330484, A330485.

Sequence in context: A064068 A220853 A013781 * A187407 A271241 A283536

Adjacent sequences: A330479 A330480 A330481 * A330483 A330484 A330485

Keyword

nonn,more,hard

Author

Jud McCranie, Dec 16 2019

Extensions

a(5) from Giovanni Resta, Dec 17 2019

a(6) from Giovanni Resta, Dec 19 2019

Status

approved