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.

A363957 Intersection of A035046 and A226777.

Original entry on oeis.org

1124864, 21952000, 82312875, 322828856, 916132832, 36859543552, 69731032896, 242620354053, 719323136000, 2697228288000, 6864416425125, 8712567840033, 10516413792429, 10578455953408, 16140568923648, 30019840638976, 35790185383875, 67052070434376, 72762401500992
Offset: 1

Views

Author

Jacob Natzke, Jun 29 2023

Keywords

Comments

This sequence is related to Beal's Conjecture (A^x + B^y = C^z), equal to C^z, A^5+B^3 = C^z.

Examples

			916132832 is equal to 62^5. 31^5 + 961^3 = 62^5.

Links

Crossrefs

Cf. A035046, A226777.

A228556 Sums of two coprime positive cubes that are also sums of two coprime positive fifth powers.

Original entry on oeis.org

2, 32769, 14348908, 14381675, 1073741825, 1088090731, 30517578126, 30517610893, 30531927032, 31591319949, 43977108474, 470184984577, 500702562701, 4747561509944, 4747561542711, 4747575858850, 4748635251767, 4778079088068, 5217746494519
Offset: 1

Views

Author

Arkadiusz Wesolowski, Aug 25 2013

Keywords

Comments

Every term greater than 2 has at least one prime factor of the form 30*k + 1 and therefore is in A228541.

Examples

			14381675 is in the sequence since 32^3 + 243^3 = 8^5 + 27^5 = 14381675 and (32, 243) = (8, 27) = 1.

Links

Crossrefs

Cf. A035046, A202679, A228541, A228542.

Formula

A202679 INTERSECT A228542.

A155473 Numbers of the form x^3+y^5, with x,y>0 and x<>y.

Original entry on oeis.org

9, 28, 33, 59, 65, 96, 126, 157, 217, 244, 248, 251, 307, 344, 368, 375, 459, 513, 544, 586, 730, 755, 761, 972, 1001, 1025, 1032, 1032, 1051, 1149, 1240, 1243, 1332, 1363, 1367, 1536, 1574, 1729, 1753, 1760, 1971, 2024, 2198, 2229, 2355, 2440, 2745, 2752
Offset: 1

Views

Author

Vladimir Joseph Stephan Orlovsky, Jan 23 2009

Keywords

Comments

Numbers with more than one of these representations are repeated for each of them.
This concerns 1032 = 2^3+4^5 = 10^3+2^5 or 9504 = 12^3+6^5 = 21^3+3^5, for example (see A035046).

Examples

			59=3^3+2^5, 157=5^3+2^5, 513=8^3+1^5, 586=7^3+3^5, ...

Crossrefs

Cf. A088719, A088677, A088703, A088687, A001235, A024670, A025320, A025319, A025318, A025317, A025316, A025315, A025314, A025313, A024508, A004431, A024507, A155468, A155469, A155470, A155472

Programs

  • Mathematica
    lst={};Do[Do[Do[If[x!=y,a=x^3+y^5;If[a>n,Break[]];If[a==n,AppendTo[lst,n]]],{y,5!}],{x,5!}],{n,7!}];lst

Extensions

Edited by R. J. Mathar, Mar 02 2009
Showing 1-3 of 3 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement.