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A068474 Numbers k such that phi((prime(k)-1)/2) = sigma(k). 1

%I #15 Jun 03 2022 03:20:32

%S 19,47,77,79,115,177,191,267,280,297,340,398,406,446,470,639,839,917,

%T 1240,1655,1713,1778,1836,2140,2157,4715,5110,5269,6585,7089,7965,

%U 8517,8844,9785,10281,12586,15279,16100,16468,16732,17724,18145,18256,20728

%N Numbers k such that phi((prime(k)-1)/2) = sigma(k).

%H Amiram Eldar, <a href="/A068474/b068474.txt">Table of n, a(n) for n = 1..300</a> (terms below 10^9, terms 1..130 from G. C. Greubel)

%t Select[Range[2, 3000], EulerPhi[(Prime[#]-1)/2]==DivisorSigma[1, #]&] (* _G. C. Greubel_, Oct 13 2018 *)

%o (PARI) for(n=2,45000, if(eulerphi((prime(n)-1)/2)==sigma(n),print1(n,",")))

%Y Cf. A000010, A000203.

%K easy,nonn

%O 1,1

%A _Benoit Cloitre_, Mar 10 2002

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Last modified April 24 14:54 EDT 2024. Contains 371960 sequences. (Running on oeis4.)