OFFSET
1,1
COMMENTS
Numbers k such that k^5 = Sum_{i=1..6} y_i^5 with y_i > 0 and gcd(k,y_1,...,y_6) = 1.
LINKS
Chai Wah Wu, Table of n, a(n) for n = 1..93
L. J. Lander and T. R. Parkin, A Counterexample to Euler's Sum of Powers Conjecture, Math. Comput. 21, 101-103, 1967.
EXAMPLE
112 is a term since 112^5 = 10^5 + 21^5 + 33^5 + 77^5 + 77^5 + 104^5 and gcd(112, 10, 21, 33, 77, 77, 104) = 1.
268 is a term since 268^5 = 74^5 + 113^5 + 148^5 + 177^5 + 215^5 + 231^5 and gcd(268, 74, 113, 148, 177, 215, 231) = 1.
CROSSREFS
KEYWORD
nonn
AUTHOR
Chai Wah Wu, Aug 18 2023
STATUS
approved