Pollock octahedral numbers conjecture

From Wikipedia, the free encyclopedia

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.

[edit] 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. JSTOR
  • Eric W. Weisstein. "Octahedral Number." From MathWorld--A Wolfram Web Resource.[1]
Languages