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== Sums of palindromes == In 2018, a paper was published demonstrating that every positive integer can be written as the sum of three palindromic numbers in every number system with base 5 or greater.<ref>{{Cite journal|last1=Cilleruelo|first1=Javier|last2=Luca|first2=Florian|last3=Baxter|first3=Lewis|date=2016-02-19|title=Every positive integer is a sum of three palindromes|url=https://www.ams.org/journals/mcom/2018-87-314/S0025-5718-2017-03221-X/home.html|journal=Mathematics of Computation|arxiv=1602.06208|access-date=2021-04-28|archive-date=2021-02-12|archive-url=https://web.archive.org/web/20210212212120/https://www.ams.org/journals/mcom/2018-87-314/S0025-5718-2017-03221-X/home.html|url-status=live}} ([https://arxiv.org/abs/1602.06208 arXiv preprint] {{Webarchive|url=https://web.archive.org/web/20190208100101/https://arxiv.org/abs/1602.06208 |date=2019-02-08 }})</ref>
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