[ October 8, 2023 ] [ Last update – ]
Every positive integer can be expressed as the sum of
maximum three palindromes.
A roundup by Patrick De Geest

Three mathematicians proved that every positive integer
can be written as the sum of max three palindromes.
Their names are Javier Cilleruelo, Florian Luca and Lewis Baxter.

A PDF file (of around 40 pages!) can be downloaded
with the proof and its algorithm from
https://arxiv.org/abs/1602.06208

There is an interesting Numberphile Youtube Video from September 17, 2018
dealing with this topic, featuring James Grime
https://www.youtube.com/watch?v=OKhacWQ2fCs

Lewis Baxter converted the algorithm into an applet
returning a solution online. Go to
http://www.rnta.eu/cgi-bin/three_palindromes/pal3.py

Christian Lawson-Perfect programmed an animated version. Go to
https://somethingorotherwhatever.com/sum-of-3-palindromes/

The solutions presented in these applets are certainly not unique.
A261132

An example with pandigital number 1023456789

980000089 + 35977953 + 7478747 1023456789