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.

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A177786 Positive numbers which have more than two representations (m,s) as a difference s^2-m^5, m>=1, s>0.

Original entry on oeis.org

1828, 3332, 4100
Offset: 1

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Author

Artur Jasinski, May 13 2010

Keywords

Comments

This sequence is a subsequence of A177770.
Contains also 10993 and 53668, not necessarily as the next terms. [R. J. Mathar, May 23 2010]

Examples

			a(1)=1828 = 98^2-6^5 = 186^2-8^5 = 90298^2-96^5.
a(2)=3332 = 58^2-2^5 = 66^2-4^5 = 190^2-8^5.
a(3)=4100 = 85^2-5^5 = 1026^2-16^5 = 1790^2-20^5.
		

Crossrefs

Extensions

Added constraint s>0 to the definition - R. J. Mathar, May 23 2010

A177857 Possible values k such that hyperelliptic curve s^2+k=m^5 has at least 6 finite points.

Original entry on oeis.org

21303, 114143, 148507, 204732, 1044976, 15413568, 3369375, 3926151, 7019351, 7907868, 7942460, 9055625
Offset: 1

Views

Author

Artur Jasinski, May 14 2010

Keywords

References

  • Bremner A. 2008. On Equation Y^2=X^5+k. Experimental Mathematics, Vol. 17 No. 3 pp.371-374.

Crossrefs

Previous Showing 11-12 of 12 results.