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Search: id:A071008
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A071008 Numbers n such that uphi(uphi(n))=n/2. +0
1
2, 4, 16, 256, 65536, 3110400, 4294967296 (list; graph; listen)
OFFSET

1,1

COMMENT

If n=Product p_i^r_i then uphi(n)=Product ( p_i^r_i-1); for example uphi(12)=(4-1)*(3-1)=6

If 2^n+1 is a Fermat prime then 2^(2*n) is a solution of the equation.

EXAMPLE

Factorizations: 2, 2^2, 2^4. 2^8, 2^16, 2^9*3^5*5^2, 2^32

CROSSREFS

Cf. A030163.

Sequence in context: A050472 A109457 A105788 this_sequence A001146 A114641 A152690

Adjacent sequences: A071005 A071006 A071007 this_sequence A071009 A071010 A071011

KEYWORD

nonn

AUTHOR

Yasutoshi Kohmoto (zbi74583(AT)boat.zero.ad.jp)

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Last modified December 1 19:22 EST 2009. Contains 167811 sequences.


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