A201688 Primes of the form p^2 + 18, where p is prime.

43, 67, 139, 307, 379, 547, 859, 1699, 1867, 3499, 3739, 4507, 5059, 5347, 6907, 10627, 11467, 18787, 29947, 32059, 32779, 39619, 49747, 57139, 58099, 66067, 72379, 73459, 78979, 80107, 96739, 97987, 109579, 120427, 134707, 151339, 157627, 187507, 218107

Offset

1,1

Comments

All terms = 3 mod 8.

Corresponding p's: 5, 7, 11, 17, 19, 23, 29, 41, 43, 59, 61, 67, 71, 73, 83, 103, 107, 137, 173, 179, 181, 199, 223, 239, 241, 257, 269, 271, 281, 283, 311, 313, 331, 347, 367, 389, 397, 433, 467, 479, 509. From these, 43, 67, 1699, 3499, 4507, 5059 are themselves of form prime^2+18.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..5000

Mathematica

Select[Table[Prime[x]^2+18, {x, 100}], PrimeQ]

Crossrefs

Cf. A154777, A201613.

Sequence in context: A043208 A043988 A139499 * A174022 A033229 A139875

Adjacent sequences: A201685 A201686 A201687 * A201689 A201690 A201691

Keyword

nonn

Author

Zak Seidov, Dec 03 2011

Status

approved