sequences involving differences between 2 cubes

N. J. A. Sloane njas at research.att.com
Tue Apr 29 14:46:14 CEST 2008


After Taxicab(6), Uwe Hollerbach (and independently Bill Butler) are doing
an exhaustive search looking if my upper bound 933528127886302221000 is
really Cabtaxi(10). They should have the answer in some weeks or months. 

Latest news at http://cboyer.club.fr/Taxicab.htm, including better bounds
for Taxicab(>=11) and Cabtaxi(>=11) numbers found in March and April, after
my previous message below.

Who will find the first 3-way solution using 6 primes p^3?

Best regards.
Christian.


-----Message d'origine-----
De : Christian Boyer [mailto:cboyer at club-internet.fr] 
Envoyé : lundi 24 mars 2008 12:07
À : seqfan at ext.jussieu.fr
Objet : Taxicab and Cabtaxi numbers (A011541 and A047696)

Two news on these series:
-paper "New Upper Bounds for Taxicab and Cabtaxi numbers" now published in
the Journal of Integer Sequences.
-and Taxicab(6) recently proved by Uwe Hollerbach.

Look at http://cboyer.club.fr/Taxicab.htm

Christian.

 






Are these OEIS duplicates:

A138980 and A049561 (apart from the first value)?
A138917 and A061242 ?
A138901 and A109074 and A094258 ?
--
Richard





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