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Representations of integers as sums of powers with increasing exponents |
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| Authors: | Torleiv Kløve |
| Institution: | (1) University of Bergen, Bergen, Norway |
| Abstract: | Let (n) be the least integer such thatn may be represented in the formn=x
1
2
+x
2
3
+...+x
(n)
(n)+1 wherex
1,x
2, ...,x
(n) are natural numbers. We computed(n) forn  250 000 and found that(n) 5 for all thesen exceptn=56, 160 for which(n)=6. Also(n) 4 for 41542<n<=250 000. |
| Keywords: | |
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