Involve: A Journal of Mathematics
- Volume 7, Number 2 (2014), 239-244.
New results on an anti-Waring problem
The number is defined to be the first integer such that it and every subsequent integer can be written as the sum of the -th powers of or more distinct positive integers. For example, it is known that , and thus the last number that cannot be written as the sum of one or more distinct squares is 128. We give a proof of a theorem that states if certain conditions are met, a number can be verified to be . We then use that theorem to find for and for .
Involve, Volume 7, Number 2 (2014), 239-244.
Received: 24 April 2013
Revised: 10 July 2013
Accepted: 24 July 2013
First available in Project Euclid: 20 December 2017
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 11A67: Other representations
Fuller, Chris; Prier, David; Vasconi, Karissa. New results on an anti-Waring problem. Involve 7 (2014), no. 2, 239--244. doi:10.2140/involve.2014.7.239. https://projecteuclid.org/euclid.involve/1513733660