login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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. 6
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. - 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 and David Rabahy, Table of n, a(n) for n = 1..368[Terms 75 through 368 were computed by David Rabahy, Oct 13 2015]

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

EXAMPLE

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

CROSSREFS

Cf. A050791, A050792, A050793, A259753.

Sequence in context: A182087 A033502 A277366 * A138130 A048949 A258166

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 6 06:58 EST 2016. Contains 278775 sequences.