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A161885 Smallest k such that n^5 = a_1^5+...+a_k^5 and all a_i are positive integers less than n. +0
4
32, 26, 19, 18, 14, 12, 9, 11, 9, 13, 6, 12, 8, 10, 9, 8, 10, 10, 9, 10, 10, 7, 6, 9, 7, 9, 8, 9, 6, 9, 6, 8, 7, 7, 6, 8, 7, 8, 7, 7, 7 (list; graph; listen)
OFFSET

2,1

COMMENT

Based on Fermat's Last Theorem: 2 never occurs in this sequence. It is not known whether 3 occurs in this sequence. The first time 4 occurs is for 144^5=27^5+84^5+110^5+133^5.

LINKS

Jean-Charles Meyrignac, Computing Minimal Equal Sums Of Like Powers

Weisstein, Eric W., Diophantine Equation 5th Powers

CROSSREFS

Cf. A161882, A161883, A161884.

Sequence in context: A070620 A070627 A028697 this_sequence A100729 A070728 A070619

Adjacent sequences: A161882 A161883 A161884 this_sequence A161886 A161887 A161888

KEYWORD

nonn

AUTHOR

Dmitry Kamenetsky (dkamen(AT)rsise.anu.edu.au), Jun 21 2009

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.


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