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A174142
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Either 2*n^2-+3 is a prime.
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1
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0, 1, 4, 7, 8, 10, 11, 14, 16, 19, 20, 22, 23, 28, 34, 35, 37, 40, 41, 43, 46, 47, 49, 50, 56, 59, 62, 65, 70, 71, 74, 76, 79, 82, 83, 85, 92, 94, 95, 98, 100, 101, 103, 106, 107, 113, 118, 119, 127, 128, 130, 131, 133, 139, 151, 161, 166, 169, 170, 175, 176, 181, 184
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OFFSET
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1,3
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COMMENTS
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LINKS
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EXAMPLE
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a(1)=0 because 2*0^2-3=-3=nonprime and 2*0^2+3=3=prime; a(2)=1 because 2*1^2-3=-1=nonprime and 2*1^2+3=5=prime; a(3)=4 because 2*4^2-3=29=prime and 2*4^2+3=35=nonprime; a(4)=7 because 2*7^2-3=95=nonprime and 2*7^2+3=101=prime.
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MATHEMATICA
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Join[{0}, Select[Range[200], Sort[PrimeQ[2 #^2+{3, -3}]]=={False, True}&]] (* Harvey P. Dale, Apr 06 2012 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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