Talk:Taxicab numbers: Difference between revisions

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(added a bunch of comments here and there.)
(→‎Extra credit discrepancy: found the REXX code proglem concering the extra credit numbers.)
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:: This'll take some time, so please be patient if I don't get back within a couple of days.   What I really need is another fast PeeCee and a clone or two to work on this stuff. -- [[User:Gerard Schildberger|Gerard Schildberger]] ([[User talk:Gerard Schildberger|talk]]) 20:46, 14 March 2014 (UTC)
:: This'll take some time, so please be patient if I don't get back within a couple of days.   What I really need is another fast PeeCee and a clone or two to work on this stuff. -- [[User:Gerard Schildberger|Gerard Schildberger]] ([[User talk:Gerard Schildberger|talk]]) 20:46, 14 March 2014 (UTC)

::: I found the problem with the REXX (extra credit) numbers.   The REXX code was counting "triple" taxicab numbers twice (that is, those taxicab numbers which had three sets of sums).   The problem was obvious once I had actually looked at the first such animal, taxicab number 455   (87,539,319).
<pre>
453 87029432 ────► 380**3 + 318**3, 443**3 + 45**3
454 87483968 ────► 363**3 + 341**3, 440**3 + 132**3
455 87539319 ────► 414**3 + 255**3, 423**3 + 228**3, 436**3 + 167**3
456 87579037 ────► 370**3 + 333**3, 444**3 + 37**3
457 87699456 ────► 432**3 + 192**3, 440**3 + 136**3
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