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A072589 n, phi(n) and sigma(n) end with the same digit. 1

%I #15 Apr 01 2018 10:46:26

%S 1,84,204,294,364,440,444,564,600,644,804,884,950,1000,1134,1164,1204,

%T 1240,1274,1284,1320,1344,1350,1400,1450,1484,1524,1564,1640,1644,

%U 1734,1884,1900,1924,2004,2044,2090,2200,2254,2324,2364,2440,2444,2600,2700,2724

%N n, phi(n) and sigma(n) end with the same digit.

%F It seems that lim n -> infinity a(n)/n exists around 40.

%t Select[Range[3000],Last[IntegerDigits[#]]==Last[ IntegerDigits[ EulerPhi[ #]]] == Last[ IntegerDigits[ DivisorSigma[1,#]]]&] (* _Harvey P. Dale_, Aug 03 2014 *)

%o (PARI) isok(n) = ((n % 10) == (eulerphi(n) % 10)) && ((n % 10) == (sigma(n) % 10)); \\ _Michel Marcus_, Nov 26 2013

%Y Intersection of A072566 and A072585.

%Y Cf. A000010, A000203.

%K base,nonn

%O 1,2

%A _Benoit Cloitre_, Aug 06 2002

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Last modified August 22 11:59 EDT 2024. Contains 375369 sequences. (Running on oeis4.)