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Roman Maeder
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&[Wolfram Notebook][1] [1]: https://www.wolframcloud.com/obj/7ae6465f-2275-45a1-9032-6f36e6125afd
There are not that many. There are just two examples with 17 digits, 10022212521222001 == 100111001 100111001 12323244744232321 == 111010111 111010111 none with 18 digits (there's just a single, very lucky, palindrome with 18 digits) ...
&[Wolfram Notebook][1] [1]: https://www.wolframcloud.com/obj/bcaad1e3-6a91-4b39-8aec-c829b4e94d11
The number of right-truncatable primes for bases up to 42 is given in A076586 in [OEIS][1]. Their number is quite a bit smaller than the right-truncatable ones. [1]: http://oeis.org/A076586
The clone puzzle was recently popularized by a great YouTube presentation by Zvezdelina Stankova on the Numberphile channel ([https://www.youtube.com/watch?v=lFQGSGsXbXE][1]). It serves as a good examples of some key concepts in Mathematics: -...