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A111326
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Numbers k such that 12 divides prime(1) + ... + prime(k).
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11
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97, 99, 103, 105, 107, 111, 119, 121, 125, 129, 161, 163, 169, 175, 177, 179, 185, 195, 199, 203, 205, 207, 211, 213, 233, 235, 237, 273, 305, 307, 309, 311, 329, 335, 337, 343, 345, 347, 353, 357, 421, 423, 425, 439, 443, 445, 447, 449, 455, 463, 511, 513, 515, 539
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OFFSET
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1,1
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LINKS
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MATHEMATICA
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Position[Accumulate[Prime[Range[400]]], _?(Divisible[#, 12] &)] // Flatten (* Amiram Eldar, May 14 2024 *)
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PROG
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(PARI) lista(pmax) = {my(s = 0, k = 0); forprime(p = 2, pmax, k++; s += p; if(!(s % 12), print1(k, ", "))); } \\ Amiram Eldar, May 14 2024
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CROSSREFS
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Cf. A007504, A103208, A111318, A111319, A111320, A111321, A111322, A111323, A111324, A111325, A111327.
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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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