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The only sixdigit repdigit such that the sum of itself and all truncations of itself plus one is an emirp. [Bajpai]
The only 6digit repdigit number such that the product of itself and all truncations of itself plus one is prime, i.e., 666666*66666*6666*666*66*6+1 and at the same time the concatenation of all the above digits, i.e., 6666666666666666666661, is also prime. [Loungrides]
(There is one curio for this number that has not yet been approved by an editor.)
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