[seqfan] Unitary RMPN
zbi74583.boat at orange.zero.jp
zbi74583.boat at orange.zero.jp
Sun Jan 26 06:26:06 CET 2014
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
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