Before we try to prove the conjecture for base 2, can anybody easily do a reality check? Like, is it in fact true for n < 2^30 or so? On Wed, Sep 19, 2018 at 12:57 PM Allan Wechsler <acwacw@gmail.com> wrote:
110 is not counted as a palindrome according to the rules adopted by the authors of that paper. In their introduction they stipulate that the leading digit (delta[l-1] in a transcription of their notation) is nonzero.
On Wed, Sep 19, 2018 at 12:38 PM <rcs@xmission.com> wrote:
Is 110 counted as a palindrome? --Rich
Quoting Allan Wechsler <acwacw@gmail.com>:
Although the result has been proved for bases down to 5, it seems to be true for smaller bases as well, but the proof techniques used by Cilleruelo, Luca, and Baxter are hard to adapt to these cases. Perhaps some funster can settle bases 2, 3, or 4.
On Wed, Sep 19, 2018 at 11:40 AM Christian Lawson-Perfect < christianperfect@gmail.com> wrote:
Not sure about here, but Chris Thompson posted it to seqfans in December 2016, which is what prompted me to (eventually) make the web page that provoked the numberphile video that you probably just watched!
On Wed, 19 Sep 2018, 15:14 Henry Baker, <hbaker1@pipeline.com> wrote:
FYI --
This result may have been discussed here already...
https://arxiv.org/abs/1602.06208v2
Every positive integer is a sum of three palindromes
Javier Cilleruelo, Florian Luca, Lewis Baxter
(Submitted on 19 Feb 2016 (v1), last revised 17 Jun 2017 (this version, v2))
For integer $g\ge 5$, we prove that any positive integer can be written as a sum of three palindromes in base $g$.
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