login
A250023
Decimal expansion of the cube root of 1729.03.
0
1, 2, 0, 0, 2, 3, 8, 3, 7, 8, 5, 6, 9, 1, 7, 1, 8, 1, 2, 3, 0, 5, 7, 3, 8, 1, 6, 6, 9, 9, 5, 0, 4, 4, 0, 4, 0, 7, 5, 0, 6, 8, 5, 1, 2, 2, 0, 5, 0, 8, 9, 2, 7, 5, 3, 6, 0, 2, 8, 8, 1, 3, 0, 7, 3, 3, 9, 5, 0, 2, 4, 2, 1, 2, 7, 6, 7, 9, 4, 4, 6, 5, 6, 3, 4, 3, 0, 2, 0, 1, 0, 9, 6, 8, 0, 8, 2, 0, 3, 2, 3, 0, 8, 4, 2
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.
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
nonn,cons,easy,less
AUTHOR
STATUS
approved