A330480 Earliest start of a run of n numbers divisible by a fourth power larger than one.

16, 80, 33614, 202099373, 40280549372, 430995495889374, 77405340617896874

Offset: 1

Author

Jud McCranie, Dec 16 2019

Keywords

• nonn
• more
• hard

Comments

De Koninck's book says that "most likely" a(7)=77405340617896874.

Examples

			33614 is divisible by 7^4, 33615 is divisible by 3^4, and 33616 is divisible by 2^4.  This is the smallest number with this property, so a(3)=33614.
		

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. A088080, A174113.

Cf. A045882, A271443, A330481, A330482, A330486, A330483, A330484, A330485.

Extensions

a(7) from Giovanni Resta, Dec 18 2019