cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-3 of 3 results.

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

Original entry on oeis.org

16, 80, 33614, 202099373, 40280549372, 430995495889374, 77405340617896874
Offset: 1

Views

Author

Jud McCranie, Dec 16 2019

Keywords

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.

Crossrefs

Extensions

a(7) from Giovanni Resta, Dec 18 2019

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

Original entry on oeis.org

32, 1215, 2590623, 2146909373, 105636978090621, 3269698976575137500
Offset: 1

Views

Author

Jud McCranie, Dec 15 2019

Keywords

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.

Crossrefs

Extensions

a(6) from Giovanni Resta, Dec 19 2019

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

Original entry on oeis.org

64, 16767, 26890623, 1507545109375, 777562026420218750, 283435321166212288109372
Offset: 1

Views

Author

Jud McCranie, Dec 16 2019

Keywords

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.

Crossrefs

Extensions

a(5) from Giovanni Resta, Dec 17 2019
a(6) from Giovanni Resta, Dec 19 2019
Showing 1-3 of 3 results.