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A139502
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Primes of the form x^2 + 22x*y + y^2 for x and y nonnegative.
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5
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241, 409, 601, 769, 1009, 1129, 1201, 1249, 1321, 1489, 1609, 1801, 2089, 2161, 2281, 2521, 2689, 3001, 3049, 3121, 3169, 3361, 3529, 3769, 3889, 4129, 4201, 4441, 4561, 4729, 4801, 4969, 5209, 5281, 5449, 5521, 5569, 5641, 5689, 5881, 6121, 6361, 6481
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OFFSET
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1,1
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COMMENTS
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Also primes of the form x^2 + 120y^2. - T. D. Noe, Apr 29 2008
In base 12, the sequence is 181, 2X1, 421, 541, 701, 7X1, 841, 881, 921, X41, E21, 1061, 1261, 1301, 13X1, 1561, 1681, 18X1, 1921, 1981, 1X01, 1E41, 2061, 2221, 2301, 2481, 2521, 26X1, 2781, 28X1, 2941, 2X61, 3021, 3081, 31X1, 3241, 3281, 3321, 3361, 34X1, 3661, 3821, 3901, where X is 10 and E is 11. Moreover, the discriminant is 340. - Walter Kehowski, Jun 01 2008
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LINKS
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FORMULA
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The primes are congruent to {1, 49} (mod 120). - T. D. Noe, Apr 29 2008
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MATHEMATICA
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QuadPrimes2[1, 0, 120, 10000] (* see A106856 *)
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PROG
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(Magma) [ p: p in PrimesUpTo(7000) | p mod 120 in {1, 49}]; // Vincenzo Librandi, Jul 28 2012
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CROSSREFS
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Cf. A139489, A007645, A068228, A007519, A033212, A033212, A107152, A107008, A033215, A107145, A139490, A139491.
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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