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A154419
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Primes of the form 20*k^2 + 36*k + 17.
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1
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17, 73, 953, 1249, 2377, 2833, 3329, 4441, 8737, 12401, 13417, 15569, 17881, 20353, 21649, 28729, 33457, 36809, 49801, 51817, 62497, 67049, 71761, 74177, 86857, 89513, 100537, 103393, 118273, 121369, 127681, 134153, 144161, 161641, 168913
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OFFSET
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1,1
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COMMENTS
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Also primes of the form 5*j^2 + 18*j + 17. (Proof: this format implies that j=2*k, even, because otherwise 5*j^2 + 18*j + 17 is even and cannot be prime. So 5*j^2 + 18*j + 17 = 20*k^2 + 36*k + 17.) - R. J. Mathar, Jan 12 2009
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LINKS
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MATHEMATICA
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Select[Table[20n^2+36n+17, {n, 0, 6001}], PrimeQ] (* Vincenzo Librandi, Jul 23 2012 *)
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PROG
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(Magma)[a: n in [0..100] | IsPrime(a) where a is 20*n^2+36*n+17]; // Vincenzo Librandi, Jul 23 2012
(PARI) (for (n=0, 100, if (isprime (k=20*n^2+36*n+17), print1 (k, “, “)))) \\ Vincenzo Librandi, Jul 23 2012
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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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STATUS
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approved
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