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A091340
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Amicable numbers with property that each member m of the corresponding amicable pair is divisible by sopfr(m) (the sum of prime factors with repetition, A001414).
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1
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OFFSET
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1,1
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COMMENTS
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Both members of the amicable pair appear in the sequence.
Conjecture: sequence is finite (even though there are many known amicable numbers - about 8*10^7 currently).
Sergei Chernykh and the teams @Boinc found a new pair with their still ongoing search in the 21-digit range, 109297847965212832096 with sopfr(m)=118618 and 109392896505354817184 with sopfr(m)=39152. - Sven Simon, Sep 19 2020
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LINKS
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EXAMPLE
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a(1): 821921625 = 3^2*5^3*7*29*59*61, sopfr(n) = 177 = 3*59.
a(2): 988676775 = 3^2*5^2*71*199*311, sopfr(n) = 597 = 3*199.
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CROSSREFS
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Cf. A267076 (amicable pairs that have the same sopfr).
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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