A272075 Primes of the form k^4 + 29*k^2 + 101.

101, 131, 233, 443, 821, 1451, 2441, 3923, 6053, 9011, 13001, 18251, 25013, 33563, 44201, 57251, 73061, 92003, 114473, 140891, 207371, 295283, 476681, 951491, 1078373, 1369961, 1536251, 1913963, 3472523, 3804341, 4159451, 4943843, 5834531, 7972043, 9925541

Offset

1,1

Links

Robert Price, Table of n, a(n) for n = 1..2264

Eric Weisstein's World of Mathematics, Prime-Generating Polynomials

Example

233 is prime and it is in this sequence since 233 = 2^4 + 29*2^2 + 101.

Mathematica

n = Range[0, 100]; Select[#^4 + 29#^2 + 101, PrimeQ[#] &]

Prog

(PARI) lista(nn) = for(n=0, nn, if(ispseudoprime(p=n^4+29*n^2+101), print1(p, ", "))); \\ Altug Alkan, Apr 19 2016

Crossrefs

Cf. A050268, A050267, A005846, A007641, A007635, A048988, A050265, A050266.

Cf. A271980, A272074.

Sequence in context: A059758 A158089 A104946 * A162463 A035790 A139489

Adjacent sequences: A272072 A272073 A272074 * A272076 A272077 A272078

Keyword

nonn,less

Author

Robert Price, Apr 19 2016

Status

approved