A027753 Primes of form n^2 + n + 3.

3, 5, 23, 59, 113, 383, 509, 653, 1193, 1409, 3083, 4973, 6323, 8933, 10103, 12659, 17033, 19463, 23873, 24809, 25763, 29759, 30803, 35159, 36293, 47309, 48623, 52673, 54059, 62753, 67343, 68909, 75353, 83813, 87323, 92723, 94559

Offset

1,1

Links

Seiichi Manyama, Table of n, a(n) for n = 1..10000

P. De Geest, World!Of Numbers

Formula

a(n) = A027752(n)^2 + A027752(n) + 3. - Seiichi Manyama, Mar 19 2017

Mathematica

Select[Table[n^2+n+3, {n, 0, 350}], PrimeQ] (* Harvey P. Dale, Nov 20 2025 *)

Prog

(Magma)[ a: n in [0..350] | IsPrime(a) where a is n^2+n+3 ]; // Vincenzo Librandi, Dec 29 2010

Crossrefs

Cf. A014556, A027752.

Sequence in context: A100302 A290384 A023247 * A066411 A153410 A230080

Adjacent sequences: A027750 A027751 A027752 * A027754 A027755 A027756

Keyword

nonn

Author

Patrick De Geest

Status

approved