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A064125
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Numbers k such that k and k+1 have the same sum of unitary divisors (A034448).
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31
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14, 44, 55, 152, 957, 1334, 1400, 1634, 1652, 2204, 2232, 2295, 2685, 3195, 3451, 3956, 4256, 5547, 7191, 8216, 8495, 8636, 8907, 9144, 9503, 9844, 10152, 11515, 17255, 18423, 19491, 20145, 20155, 27404, 27643, 30247, 33998, 38180, 41265
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OFFSET
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1,1
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LINKS
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PROG
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(PARI) usigma(n, s=1, fac, i)=fac=factor(n); for(i=1, matsize(fac)[1], s=s*(1+fac[i, 1]^fac[i, 2])); return(s); j=[]; for(n=1, 50000, if(usigma(n)==usigma(n+1), j=concat(j, n))); j
(PARI) usigma(n)= { local(f, s=1); f=factor(n); for(i=1, matsize(f)[1], s*=1 + f[i, 1]^f[i, 2]); return(s) }
{ n=0; s=0; for (m=1, 10^9, us=usigma(m+1); if(s==us, write("b064125.txt", n++, " ", m); if (n==800, break)); s=us ) } \\ Harry J. Smith, Sep 08 2009
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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