[seqfan] Unitary RMPN

[zbi74583.boat at orange.zero.jp]

    Hi,Seqfan

    [ Unitary Rational Multiply Perfect Number ]

    Definition of URMPN :
    UnitarySigma(n)=k*n
              Where k is rational number
    Ex.
    k=3/2
    2,20,24,360,816,....
    k=5/3
    12,18,2^6*3*7*13,2^6*3^2*5*7*13,2^15*3^6*5*7*11*19*37*73*83*331

    Definition of ((n+1)/n )URMPN :
    UnitarySigma(m)=(n+1)/n*m
             Wnere n is positive integer

    Definition of Sequence a(n) :
    The smallest number which is ((n+1)/n)URMPN
    6,2,3,4,5,216,7,8,9,2^15*3^3*5^4*7^2*79*83*157*313*331,11,-,13,-,-,16,17,-,19,....
             Where "-" means unknown

    If n is prime power then a(n)=n

    Could anuone confirm a(6) and a(10) and compute more terms which are not
prime power?
    I am sure that a(12) has many digit



    Yasutoshi