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A201262 Primes of the form n^3 + 9. 1

%I #18 Sep 08 2022 08:46:01

%S 17,73,521,1009,2753,8009,10657,21961,39313,54881,85193,140617,195121,

%T 262153,314441,512009,681481,778697,941201,1404937,3241801,3511817,

%U 4410953,4913009,6028577,6229513,6644681,6859009,8000009,8998921

%N Primes of the form n^3 + 9.

%C Old name was "Primes of the form 8n^3 + 9".

%H Vincenzo Librandi, <a href="/A201262/b201262.txt">Table of n, a(n) for n = 1..6200</a>

%e Since 17 is prime and equal to 2^3 + 9, it is in the sequence.

%e Since 73 is prime and equal to 4^3 + 9, it is in the sequence.

%e 225 is not in the sequence, because, although it is 6^3 + 9, it is divisible by 5.

%t Select[Table[n^3 + 9, {n, 0, 248, 2}], PrimeQ]

%o (Magma) [a: n in [0..300] | IsPrime(a) where a is 8*n^3+9]

%Y Cf. A016743.

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Nov 29 2011

%E Name simplified by _Alex Ratushnyak_, Apr 06 2013

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Last modified July 14 11:30 EDT 2024. Contains 374318 sequences. (Running on oeis4.)