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

Author

Jud McCranie, Dec 16 2019

Keywords

• nonn
• more
• hard

Comments

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

Examples

			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.
		

References

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

Links

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

Crossrefs

Cf. A001014, A088080, A174113.

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

Extensions

a(5) from Giovanni Resta, Dec 17 2019

a(6) from Giovanni Resta, Dec 19 2019