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A046710 Irrational unitary-phi amicable numbers. +0
2
26640, 1038960, 1651680, 64415520, 7246080, 282597120, 844592855040, 32939121346560, 476734095360, 18592629719040, 124972029225861120, 486048526115143680, 2047588591705018859520, 79855955076495735521280 (list; graph; listen)
OFFSET

4,1

COMMENT

Two numbers a and b are called irrational unitary-phi amicable numbers if they satisfy uphi(a)=uphi(b)=2*(a^2-b^2)^(1/2) where if x=Product p(i)^r(i) then uphi(x)=Product (p(i)^r(i)-1) (A047994).

Factorizations: 2^4*3^2*5*37, 2^4*3^3*13*5*37, 2^5*3^2*31*5*37, 2^5*3^3*13*31*5*37, ...

CROSSREFS

Cf. A046709.

Sequence in context: A004046 A107119 A015303 this_sequence A093180 A093181 A051025

Adjacent sequences: A046707 A046708 A046709 this_sequence A046711 A046712 A046713

KEYWORD

nonn

AUTHOR

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

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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