[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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