The book is now available! 7777
(another Prime Pages' Curiosity)
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Participate:
+ 7777 = 6^5 + 1 is probably the only repdigit number of the form (p+1)^p+1 where p is prime. Also, it is probably the only multidigit repdigit number of the form (n+1)^n+1. [Firoozbakht]

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