9-digit num3er aaabbbccc

Find a 9-digit number of the form   aaabbbccc   so that

             aaabbbccc   +   1    is a square number
 

that is,        aaabbbccc   +   1   =   x^2

 
 

@InfinitelyManic found:
111999888;    111999888 + 1 = 111999889;    sqrt(111999889) = 10583
 

Note    111999889   =   3135^2   +   10108^2
 

198 + 1 =   199   is a prime number.
111111199999998888889   is a prime number.

 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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