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A015782 Numbers k such that phi(k) + 3 | sigma(k + 3). 6

%I #14 Jan 24 2022 12:46:24

%S 7,10,14,21,26,34,38,58,86,93,94,106,134,146,178,194,226,254,274,278,

%T 314,334,346,357,381,386,394,398,446,454,458,538,554,566,614,674,681,

%U 698,706,758,766,794,818,878,926,934,974,1006,1018,1046

%N Numbers k such that phi(k) + 3 | sigma(k + 3).

%H Robert Israel, <a href="/A015782/b015782.txt">Table of n, a(n) for n = 1..10000</a>

%p filter:= proc(n) uses numtheory;

%p sigma(n+3) mod (3+phi(n)) = 0

%p end proc:

%p select(filter, [$1..2000]); # _Robert Israel_, Jan 24 2022

%t Select[Range[1100],Divisible[DivisorSigma[1,#+3],EulerPhi[#]+3]&] (* _Harvey P. Dale_, Sep 04 2013 *)

%o (PARI) is(n)=!(sigma(n+3)%(eulerphi(n)+3)) \\ _Charles R Greathouse IV_, Sep 25 2012

%Y Cf. A000010, A000203.

%K nonn

%O 1,1

%A _Robert G. Wilson v_

%E Corrected by _Charles R Greathouse IV_, Sep 25 2012

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Last modified June 9 11:22 EDT 2024. Contains 373239 sequences. (Running on oeis4.)