|
Search: id:A088703
|
|
|
| A088703 |
|
Numbers of form x^5 + y^5, x,y > 0 and x<>y. |
|
+0
2
|
|
| 33, 244, 275, 1025, 1056, 1267, 3126, 3157, 3368, 4149, 7777, 7808, 8019, 8800, 10901, 16808, 16839, 17050, 17831, 19932, 24583, 32769, 32800, 33011, 33792, 35893, 40544, 49575, 59050, 59081, 59292, 60073, 62174, 66825, 75856, 91817
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Up to n = 100000, no instances occur where n is the sum of two distinct 5th powers in two different ways. Conjecture: no number can be expressed as the sum of two 5th powers in more than one way.
|
|
EXAMPLE
|
33 = 2^5 + 1^5, so 33 is in sequence. 64 = 2^5 + 2^5 is not.
|
|
PROGRAM
|
(PARI) powers2(m1, m2, p1) = { for(k=m1, m2, a=powers(k, p1); if(a==1, print1(k", ")) ); } powers(n, p) = { z1=0; z2=0; c=0; cr = floor(n^(1/p)+1); for(x=1, cr, for(y=x+1, cr, z1=x^p+y^p; if(z1 == n, c++); ); ); return(c) }
|
|
CROSSREFS
|
Subset of A003347.
Adjacent sequences: A088700 A088701 A088702 this_sequence A088704 A088705 A088706
Sequence in context: A127870 A142993 A075040 this_sequence A034679 A017673 A001160
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Cino Hilliard (hillcino368(AT)gmail.com), Nov 22 2003
|
|
EXTENSIONS
|
Edited by Ralf Stephan, Dec 30 2004
|
|
|
Search completed in 0.002 seconds
|
