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[ January 4, 2000 ]
Palindromic_free squares, cubes and primes

In this paragraph I am searching for the largest Square and Cube whose decimal expansion
contains no palindromic substrings except of course their single digits themselves.

Square RootPalfree Square
10104574 ( first above 107 ) 102102415721476 ( length 15 )

Cube RootPalfree Cube
10069605 ( first above 107 ) 1021027182906953620125 ( length 22 )

InfoPalfree Prime
( first above 107 ) 10210219 ( length 8 )

All these examples our put in the table only as a starting point.
Your task is to find the largest possible palfree square, cube and/or prime.
My guess is that the above record palfree numbers will be approximately 45 digits long ...
but I could be wrong!

Good luck with this research topic and keep me posted!

This plate is a prequel to WONplate 46



A000028 Prime Curios! Prime Puzzle Richard Phillips
Wikipedia 28 Le Nombre 28 Numberland 28














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