Pollock octahedral numbers conjecture
- Pollock octahedral numbers conjecture
The Pollock octahedral numbers conjecture is a conjecture that every integer is the sum of at most seven octahedral numbers, first stated by Sir Frederick Pollock, better known as a lawyer and politician but also a contributor of papers on mathematics to the Royal Society.
References
*Dickson, L. E., History of the Theory of Numbers, Vol. 2: Diophantine Analysis. Washington, 1920, reprinted New York: Dover, 2005. P.23.
* F. Pollock, "On the extension of the principle of Fermat's theorem on the polygonal numbers to the higher order of series whose ultimate differences are constant", Proc. Roy. Soc. London 5 (1850) 922-4. [http://links.jstor.org/sici?sici=0365-0855(1843%2F1850)5%3C922%3AOTEOTP%3E2.0.CO%3B2-S JSTOR]
* Eric W. Weisstein. "Octahedral Number." From MathWorld--A Wolfram Web Resource. [http://mathworld.wolfram.com/OctahedralNumber.html]
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