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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 Root | Palfree Square |
| 10104574 ( first above 107 ) | 102102415721476 ( length 15 ) |
| Cube Root | Palfree Cube |
| 10069605 ( first above 107 ) | 1021027182906953620125 ( length 22 ) |
| Info | Palfree 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

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