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A106891
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Primes of the form x^2+xy+11y^2.
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5
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11, 13, 17, 23, 31, 41, 43, 47, 53, 59, 67, 79, 83, 97, 101, 103, 107, 109, 127, 139, 167, 173, 181, 193, 197, 229, 239, 251, 269, 271, 281, 283, 293, 307, 311, 317, 337, 353, 359, 367, 379, 397, 401, 431, 439, 443, 461, 479, 487, 509, 541, 547, 557, 563
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OFFSET
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1,1
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COMMENTS
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Discriminant=-43.
Also, primes of the form x^2-xy+11y^2 with x and y nonnegative.
Also, primes which are a square (mod 43). - M. F. Hasler, Jan 15 2016
Also, primes p such that Legendre(-43,p) = 0 or 1. - N. J. A. Sloane, Dec 25 2017
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LINKS
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MATHEMATICA
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QuadPrimes2[1, -1, 11, 10000] (* see A106856 *)
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PROG
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(PARI) select(p->issquare(Mod(p, 43))&&isprime(p), [1..1500]) \\ M. F. Hasler, Jan 15 2016
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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