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A064112
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Numbers k such that sopf(k) = 2*sopf(k+1), where sopf(k) = A008472.
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1
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99, 155, 689, 1106, 1517, 1524, 3014, 3403, 3479, 5809, 6478, 6723, 8606, 9143, 9454, 9797, 10126, 11771, 12283, 12382, 13112, 13969, 14150, 17422, 19303, 22184, 24856, 27466, 28119, 28529, 35927, 36464, 37512, 41904, 44505, 45016, 45506
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OFFSET
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1,1
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LINKS
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EXAMPLE
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sopf(689)=66, 2*sopf(690)=66.
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PROG
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(PARI) sopf(n, s, fac, i) = fac=factor(n); for(i=1, matsize(fac)[1], s=s+fac[i, 1]); return(s);
j=[]; for(n=1, 50000, if(sopf(n)==2*sopf(n+1), j=concat(j, n))); j
(PARI) sopf(n)= { local(f, s=0); f=factor(n); for(i=1, matsize(f)[1], s+=f[i, 1]); return(s) }
{ n=0; sm=sopf(1); for (m=1, 10^9, sp=sopf(m + 1); if (sm==2*sp, write("b064112.txt", n++, " ", m); if (n==600, break)); sm=sp ) } \\ Harry J. Smith, Sep 07 2009
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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