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A216436
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For g=A201557(n), define a(n) as the prime p|g such that G(g/p) is maximum, where G(k) = sigma(k)/(k*log(log(k))).
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2
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17, 17, 19, 19, 19, 19, 19, 23, 23, 31, 31, 31, 7, 7, 7, 7, 7, 37, 37, 41, 43, 43, 43, 43, 43, 43, 2, 43, 2, 43, 2, 47, 47, 47, 47, 47, 47, 2, 47, 2, 47, 2, 47, 2, 53, 61, 61, 61, 61, 61, 61, 5, 5, 5, 67, 71, 11, 11, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73, 73
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OFFSET
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1,1
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COMMENTS
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The ratio G(A201557(n)/p)/G(A201557(n)) is defined by Nicolas as the Gronwall quotient (A201557 = proper GA1 numbers).
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LINKS
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FORMULA
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MAPLE
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# See link "Computation of GA1 numbers".
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PROG
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(PARI) findq(i) = {f = factor(i); maxqu = 0.0; qmax = 0; for(iq=1, length(f~), qq = f[iq, 1]; qu = g(i/qq)/g(i); if (qu > maxqu, maxqu = qu; qmax = qq; ) ); return (qmax); } \\ for i in A201557
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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