Can you prove that there are infinite palindromic primes that when squared give a palindromic number?
closed as off-topic by R. van Dobben de Bruyn, abx, Gro-Tsen, Mark Sapir, Andrés E. Caicedo Aug 4 '18 at 14:52
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There are in fact more than those 4, and they have their own page on OEIS. Two conjectures, then, would be:
are they infinitely many? I suspect so.
are $2$ and $3$ the only ones formed with decimal digits other than $0$ and $1$? I suspect so.