A201262 Primes of the form n^3 + 9.

17, 73, 521, 1009, 2753, 8009, 10657, 21961, 39313, 54881, 85193, 140617, 195121, 262153, 314441, 512009, 681481, 778697, 941201, 1404937, 3241801, 3511817, 4410953, 4913009, 6028577, 6229513, 6644681, 6859009, 8000009, 8998921

Offset

1,1

Comments

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

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..6200

Example

Since 17 is prime and equal to 2^3 + 9, it is in the sequence.
Since 73 is prime and equal to 4^3 + 9, it is in the sequence.
225 is not in the sequence, because, although it is 6^3 + 9, it is divisible by 5.

Mathematica

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

Prog

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

Crossrefs

Cf. A016743.

Sequence in context: A002224 A096637 A201610 * A146658 A145440 A112013

Adjacent sequences: A201259 A201260 A201261 * A201263 A201264 A201265

Keyword

nonn,easy

Author

Vincenzo Librandi, Nov 29 2011

Extensions

Name simplified by Alex Ratushnyak, Apr 06 2013

Status

approved