[seqfan] UPhi(x)=UPhi(y)=1/8*(5*Sqroot(x)-3*Sqroot(y))^2

koh zbi74583.boat at orange.zero.jp
Sat Dec 20 06:02:46 CET 2008


    Hi, Seqfans      
    I considered about the following equation.          

         UPhi(x)=UPhi(y)=1/8*(5*Sqroot(x)-3*Sqroot(y))^2 

    It is difficult.
    I suppose that no smaller term exists up to second term.

    I will soon submit them.



    %I A000001
    %S A000001 2152640,11948993133919100295708672000
    %N A000001 Numbers m,n such that UnitaryPhi(m)=UnitaryPhi(m)=1/8*(5*m^(1/2)-3*n^(1/2))^2, n<m
               Sequence gives n number. 
    %C A000001 If m=n then it becomes A030163
    %e A000001 Factorization :
               2^6*5*7*31^2
               2^22*5^3*7^2*11^3*19*23*31^2*683*3^4*13^2
    %Y A000001 A000002
    %K A000001 none
    %O A000001 0,1
    %A A000001 Yasutoshi Kohmoto zbi74583.boat at orange.zero.jp

    %I A000002
    %S A000002 2439360,13205954936303752529313792000
    %N A000002  Numbers m,n such that UnitaryPhi(m)=UnitaryPhi(m)=1/8*(5*m^(1/2)-3*n^(1/2))^2, n<m
               Sequence gives m number.
    %C A000001 If m=n then it becomes A030163      
    %e A000002 Factorization :               
               2^6*5*7*31^2
               2^22*5^3*7^2*11^3*19*23*31^2*683*3^2*41^2
    %Y A000002 A000001
    %K A000002 none
    %O A000002 0,1
    %A A000002 Yasutoshi Kohmoto zbi74583.boat at orange.zero.jp



    Yasutoshi
    




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