A330481 Earliest start of a run of n numbers divisible by a fifth power larger than one.

32, 1215, 2590623, 2146909373, 105636978090621, 3269698976575137500

Offset: 1

Author

Jud McCranie, Dec 15 2019

Keywords

• nonn
• hard
• more

Comments

De Koninck's book gives probable a(6) = 3269698976575137500.

a(7) <= 745436945776920355709374. - Giovanni Resta, Dec 19 2019

Examples

			1215 is divisible by 3^5 and 1216 is divisible by 2^5. This is the smallest number with this property, so a(2)=1215.
		

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. A000584, A045882, A271443, A330480, A330482, A330486, A330483, A330484, A330485, A088080.

Extensions

a(6) from Giovanni Resta, Dec 19 2019