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

1,1

Comments

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

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..7.

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

Example

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.

Crossrefs

Cf. A088080, A174113.

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

Sequence in context: A000817 A192510 A119508 * A334660 A088379 A005065

Adjacent sequences: A330477 A330478 A330479 * A330481 A330482 A330483

Keyword

nonn,more,hard

Author

Jud McCranie, Dec 16 2019

Extensions

a(7) from Giovanni Resta, Dec 18 2019

Status

approved