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A070004
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Numbers of the form 5*2^n or 5*3*2^n; a(n) = 5*A029744(n).
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8
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5, 10, 15, 20, 30, 40, 60, 80, 120, 160, 240, 320, 480, 640, 960, 1280, 1920, 2560, 3840, 5120, 7680, 10240, 15360, 20480, 30720, 40960, 61440, 81920, 122880, 163840, 245760, 327680, 491520, 655360, 983040, 1310720, 1966080, 2621440
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OFFSET
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1,1
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COMMENTS
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Old name was: Numbers n such that phi(P(n)) - P(phi(n)) = 2, where P(x)=largest prime factor of x, or A000010(A006530(n))-A006530(A000010(n))=2.
Solutions to phi(P(x))-P(phi(x))=c, presence or absence of special prime factors in x are usually derivable.
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LINKS
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FORMULA
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a(n) = 5*A029744(n); numbers of the forms 5*2^n and 15*2^n.
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MATHEMATICA
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pf[x_] := Part[Reverse[Flatten[FactorInteger[x]]], 2]; Do[s=EulerPhi[pf[n]]-pf[EulerPhi[n]]; If[Equal[s, 2], Print[n]], {n, 3, 1000000}]
Union[Flatten[Table[2^n {5, 15}, {n, 0, 20}]]] (* or *) Join[ {5}, LinearRecurrence[ {0, 2}, {10, 15}, 40]] (* Harvey P. Dale, Dec 23 2014 *)
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PROG
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(PARI) gpf(n)=if(n>1, my(f=factor(n)[, 1]); f[#f], 1)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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