OFFSET
2,2
COMMENTS
The problem of extracting this cube root pitted an abacus salesman against Nobel Prize winning physicist Richard Feynman one afternoon in Rio de Janeiro.
An algebraic number of degree 3 and denominator 10; minimal polynomial 100x^3 - 172903. - Charles R Greathouse IV, Apr 20 2016
REFERENCES
Richard Feynman and Ralph Leighton, Surely You're Joking, Mr. Feynman! (Adventures of a Curious Character), chapter "Lucky Numbers," W. W. Norton & Co., NY 1985, pp. 192-198.
Dana Mackenzie, The Universe in Zero Words, The Story of Mathematics as Told Through Equations, Princeton University Press, Princeton and Oxford, 2012, Introduction - The Abacist versus the Algorist, page 13.
LINKS
Luis Fernandes, Feynman vs. The Abacus
Dana Mackenzie, The Universe in Zero Words
Eric W. Weisstein's World of Mathematics, Newton's Method
Wikipedia, Newton's method
Wikipedia, Root-finding algorithm
EXAMPLE
12.002383785691718123057381669950440407506851220508927536028813073395024212767944...
MATHEMATICA
RealDigits[ 1729030^(1/3), 10, 105][[1]] (* please notice the lack of a decimal point *)
PROG
(PARI) sqrtn(1729.03, 3) \\ Charles R Greathouse IV, Apr 20 2016
CROSSREFS
KEYWORD
AUTHOR
Dana Mackenzie and Robert G. Wilson v, Nov 10 2014
STATUS
approved