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A269705
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Numbers k such that prime(k) == 1 (mod 9).
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1
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8, 12, 21, 29, 31, 38, 42, 46, 58, 63, 75, 78, 84, 93, 99, 100, 106, 112, 115, 131, 134, 141, 145, 153, 157, 159, 167, 169, 179, 187, 191, 193, 207, 211, 224, 232, 242, 244, 247, 257, 260, 264, 272, 276, 279, 287, 303, 306, 310, 316, 324, 326, 327, 335, 337
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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 1/6 (by Dirichlet's theorem). - Amiram Eldar, Mar 02 2021
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LINKS
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EXAMPLE
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a(1) = 8 because prime(8) = 19 and 19 == 1 (mod 9).
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MATHEMATICA
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Select[Range[400], Mod[Prime[#], 9] == 1 &]
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PROG
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(Magma) [n: n in [1..500] | NthPrime(n) mod 9 eq 1];
(PARI) lista(nn) = for(n=1, nn, if(Mod(prime(n), 9)==1, print1(n, ", "))); \\ Altug Alkan, Mar 04 2016
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CROSSREFS
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The associated primes are in A061237.
Cf. similar sequences listed in A269703.
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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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