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A050794 Consider the Diophantine equation x^3+y^3=z^3+1 (1<x<y<z) or 'Fermat near misses'. Arrange solutions by increasing values of z (see A050791). Sequence gives values of x^3+y^3=z^3+1. For corresponding values of x, y, z see A050792, A050793, A050791 respectively. 5
1729, 1092728, 3375001, 15438250, 121287376, 401947273, 3680797185, 6352182209, 7856862273, 12422690497, 73244501505, 145697644729, 179406144001, 648787169394, 938601300672, 985966166178, 1594232306569 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Note that a(1)=1729 is the Hardy-Ramanujan number. [From Omar E. Pol, Jan 28 2009]

REFERENCES

Ian Stewart, "Game, Set and Math", Chapter 8, 'Close Encounters of the Fermat Kind', Penguin Books, Ed. 1991, pp. 107-124.

David Wells, "Curious and Interesting Numbers", Revised Ed. 1997, Penguin Books, On number "729", p. 147.

LINKS

Uwe Hollerbach, Table of n, a(n) for n = 1..74

Eric Weisstein's World of Mathematics, Diophantine Equation - 3rd Powers

EXAMPLE

E.g. 577^3 + 2304^3 = 2316^3 + 1 = 12422690497.

CROSSREFS

Cf. A050791, A050792, A050793.

Sequence in context: A212920 A182087 A033502 * A138130 A048949 A130876

Adjacent sequences:  A050791 A050792 A050793 * A050795 A050796 A050797

KEYWORD

nonn

AUTHOR

Patrick De Geest, Sep 15 1999.

EXTENSIONS

Extended through 1594232306569 by Jud McCranie, Dec 25 2000

STATUS

approved

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Last modified December 22 02:57 EST 2014. Contains 252326 sequences.