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A262086
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Numbers n such that phi(n + 10) = phi(n) + 10 where phi(n) = A000010(n) is Euler's totient function.
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4
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3, 7, 13, 19, 31, 36, 37, 43, 61, 73, 79, 97, 103, 127, 139, 157, 163, 181, 223, 229, 241, 271, 283, 307, 337, 349, 373, 379, 409, 421, 433, 439, 457, 499, 547, 577, 607, 631, 643, 673, 691, 709, 733, 751, 787, 811, 829, 853, 877, 919, 937, 967
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OFFSET
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1,1
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COMMENTS
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The only composite term less than 10^11 is 36. - Giovanni Resta, Sep 14 2015
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LINKS
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EXAMPLE
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3 is in the sequence since phi(13) = phi(3) + 10.
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MATHEMATICA
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Select[Range@1000, EulerPhi@(# + 10) == EulerPhi[#] + 10 &] (* Vincenzo Librandi, Sep 11 2015 *)
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PROG
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(Magma) [n: n in [1..1000] | EulerPhi(n+10) eq EulerPhi(n)+10]; // Vincenzo Librandi, Sep 11 2015
(PARI) is(n)=eulerphi(n + 10) == eulerphi(n) + 10 \\ Anders Hellström, Sep 11 2015
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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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STATUS
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approved
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