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A345005
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Odd numbers whose arithmetic derivative (A003415) is equal to Dedekind psi (A001615) applied to the same number.
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5
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81, 3375, 15625, 231525, 713097, 1058841, 1500625, 4348377, 5764801, 16891497, 163555875, 209548647, 239010993, 239160735, 254205875, 267651475, 405189675, 451699875, 958403475, 1050284375, 1213014231, 1501534375, 1695809375, 1809323971, 1942143291
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OFFSET
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1,1
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COMMENTS
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Conjectured to be also the odd numbers k for which A344998(k) = A344999(k).
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LINKS
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PROG
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(PARI)
A001615(n) = if(1==n, n, my(f=factor(n)); prod(i=1, #f~, f[i, 1]^f[i, 2] + f[i, 1]^(f[i, 2]-1))); \\ After code in A001615
A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
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CROSSREFS
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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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