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A160594
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Indices of primes congruent to 1 modulo 12.
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7
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6, 12, 18, 21, 25, 29, 37, 42, 44, 50, 53, 59, 65, 68, 70, 74, 78, 80, 82, 84, 88, 100, 106, 110, 112, 121, 122, 127, 130, 134, 136, 145, 147, 151, 159, 168, 169, 172, 174, 180, 183, 187, 189, 191, 197, 198, 203, 204, 211, 216, 221, 226, 231, 237, 244, 251, 254
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OFFSET
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1,1
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COMMENTS
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The asymptotic density of this sequence is 1/4 (by Dirichlet's theorem). - Amiram Eldar, Mar 02 2021
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LINKS
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FORMULA
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EXAMPLE
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a(1) = 6 since the 6th prime, A000040(6) = 13, is the first one to be equal to 1 (mod 12).
a(2) = 12 since the 12th prime, A000040(12) = 37, is the second one to be equal to 1 (mod 12).
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MATHEMATICA
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PrimePi/@Select[Range[1, 1701, 12], PrimeQ] (* Harvey P. Dale, Nov 28 2011 *)
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PROG
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(PARI) for( n=1, 999, prime(n)%12==1 & print1(n", "))
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CROSSREFS
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A116614 lists the even terms of this sequence, divided by 2.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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