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A154419 Primes of the form 20*k^2 + 36*k + 17. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
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
LINKS
MATHEMATICA
Select[Table[20n^2+36n+17, {n, 0, 6001}], PrimeQ] (* Vincenzo Librandi, Jul 23 2012 *)
PROG
(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
CROSSREFS
Sequence in context: A145440 A112013 A165691 * A208399 A097223 A296113
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Jan 09 2009
STATUS
approved

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Last modified July 15 21:59 EDT 2024. Contains 374334 sequences. (Running on oeis4.)