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A097698
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Numbers n such that both 4*n^2 - 3 and 4*n^2 + 3 are primes.
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7
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2, 4, 5, 7, 32, 46, 56, 70, 73, 86, 109, 149, 152, 161, 163, 170, 175, 178, 208, 220, 235, 254, 277, 280, 290, 313, 317, 326, 334, 343, 347, 352, 364, 368, 373, 385, 403, 409, 434, 446, 460, 527, 541, 551, 565, 578, 598, 628, 632, 689, 709, 710, 737, 761, 812
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OFFSET
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1,1
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LINKS
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FORMULA
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MATHEMATICA
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Select[Range[1000], AllTrue[4#^2+{3, -3}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Dec 08 2019 *)
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PROG
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(Magma) [n: n in [1..1000] |IsPrime(4*n^2-3) and IsPrime(4*n^2+3)] // Vincenzo Librandi, Nov 16 2010
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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