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Search: id:A056874
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| A056874 |
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Primes of form (x^2+11*y^2)/4. |
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+0
4
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| 3, 5, 11, 23, 31, 37, 47, 53, 59, 67, 71, 89, 97, 103, 113, 137, 157, 163, 179, 181, 191, 199, 223, 229, 251, 257, 269, 311, 313, 317, 331, 353, 367, 379, 383, 389, 397, 401, 419, 421, 433, 443, 449, 463, 467, 487, 499, 509, 521, 577, 587, 599
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Also primes of the form x^2-xy+3y^2 with x and y nonnegative. - T. D. Noe (noe(AT)sspectra.com), May 07 2005
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MAPLE
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a := []; for x from 0 to 80 do for y from 1 to 26 do p := (x^2+11*y^2)/4; if whattype(p) = integer then if isprime(p) then a := [op(a), [p, x, y]]; fi; fi; od: od: writeto(trans); for i from 1 to 158 do lprint(a[i]); od: # then sort the list in "trans"
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MATHEMATICA
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QuadPrimes[1, -1, 3, 10000] (* see A106856 *)
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CROSSREFS
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Cf. A002346 and A002347 for values of x and y.
Sequence in context: A023202 A049436 A117010 this_sequence A109927 A146276 A155753
Adjacent sequences: A056871 A056872 A056873 this_sequence A056875 A056876 A056877
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Sep 02 2000
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