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A160593 Indices of primes congruent to 11 modulo 12. 2

%I #11 Apr 13 2022 11:58:51

%S 5,9,15,17,20,23,28,32,39,41,43,49,52,54,56,64,69,72,76,81,83,86,91,

%T 92,94,96,103,107,109,118,120,124,128,132,144,146,150,154,156,161,164,

%U 166,171,173,182,185,190,192,195,200,205,208,214,215,219,225,228,230,236

%N Indices of primes congruent to 11 modulo 12.

%C The asymptotic density of this sequence is 1/4 (by Dirichlet's theorem). - _Amiram Eldar_, Mar 02 2021

%H Harvey P. Dale, <a href="/A160593/b160593.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = A000720(A068231(n)).

%e a(1) = 5 since the 5th prime, A000040(5) = 11, is the first one to be equal to 11 (mod 12).

%e a(2) = 9 since the 9th prime, A000040(9) = 23, is the second one to be equal to 11 (mod 12).

%t Position[Mod[Prime[Range[250]],12],11]//Flatten (* _Harvey P. Dale_, Apr 13 2022 *)

%o (PARI) for( n=1,999, prime(n)%12==11 & print1(n","))

%Y A116610 lists the even terms of this sequence, divided by 2.

%Y Cf. A000720, A068231.

%K nonn

%O 1,1

%A _M. F. Hasler_, May 22 2009

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)