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A216428
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Primes of the form 2^(n-1)*(n+1)^2-(-1)^n.
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1
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5, 17, 199, 577, 1567, 25601, 147457, 346111, 47316991, 104857601, 231211007, 1109393407, 11341398017, 52613349377, 4964982194177, 10522669875199, 5125690732661117028219823849471
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OFFSET
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1,1
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COMMENTS
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Generated by n: 1, 2, 4, 5, 6, 9, 11, 12, 18, 19, 20, 22, 25, 27, 33, 34, 90, 110, 111, 287, 424, 767, 1091, 2134,...
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LINKS
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EXAMPLE
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a(1) = 2^(1 - 1)*(1 + 1)^2 - (-1)^1 = 5.
a(2) = 2^(2 - 1)*(2 + 1)^2 - (-1)^2 = 17.
a(3) = 2^(4 - 1)*(4 + 1)^2 - (-1)^4 = 199.
a(4) = 2^(5 - 1)*(5 + 1)^2 - (-1)^5 = 577.
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MATHEMATICA
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Select[Table[2^(n - 1) (n + 1)^2 - (-1)^n, {n, 300}], PrimeQ] (* Vincenzo Librandi, Sep 10 2012 *)
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PROG
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(Magma) [a: n in [1..100] | IsPrime(a) where a is 2^(n-1)*(n+1)^2 - (-1)^n]; // Vincenzo Librandi, Sep 10 2012
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CROSSREFS
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KEYWORD
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nonn,less
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AUTHOR
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STATUS
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approved
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