login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Numbers k such that phi(4k-1) = sigma(k).
3

%I #15 May 09 2022 08:36:27

%S 660,744,4216,6460,10780,11880,14688,27820,32524,37464,40120,59964,

%T 87124,110770,120934,125764,184264,190564,194584,210324,264280,269514,

%U 295144,297388,298840,314974,379204,384750,396256,396520,406296,444244,473524,597480

%N Numbers k such that phi(4k-1) = sigma(k).

%C Are there any odd terms in the sequence?

%H Donovan Johnson, <a href="/A067235/b067235.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Range[600000], EulerPhi[4*# - 1] == DivisorSigma[1, #] &] (* _Amiram Eldar_, May 09 2022 *)

%o (PARI) for(n=1, 10^9, if(eulerphi(4*n-1)==sigma(n), print(n))) /* _Donovan Johnson_, Aug 18 2012 */

%Y Cf. A000010, A000203, A067224, A067226.

%K nonn

%O 1,1

%A _Benoit Cloitre_, Feb 20 2002

%E More terms from _Harvey P. Dale_, Feb 26 2002