A038260

[kohmoto]

    Neil wrote on comment line of A038260.

    >Surely there are smaller members! njas, Nov 07 2006



    Why do you think that?

    I searched the “seeds” for “regular” Rational Amicable Number again.

       .

    And {11*19, 239 } is the smallest one.           .

    So, I think that at least it is the first terms of regular Rational 
Amicable Pair.

            .

    Such a Diophantine equation which is high degree and is involved with 
Sigma function has many conditions  , so the solution must have many prime 
factors for having good property, hence it becomes to have many digits.



    I guess that 2^2*7*3*5^2*13*31*139*277*3877*11*19 is the smallest and if 
an irregular example exists then it has around 16 digits.



    Yasutoshi


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