A174237 Numbers n such that 4n-1 and 4n+3 are prime.

1, 2, 5, 11, 17, 20, 26, 32, 41, 56, 77, 95, 110, 116, 122, 125, 161, 185, 206, 215, 221, 227, 242, 272, 320, 326, 356, 362, 371, 392, 395, 416, 446, 467, 500, 521, 551, 560, 587, 635, 665, 671, 677, 755, 770, 791, 797, 830, 836, 866, 962, 977, 980, 986, 1001

Offset

1,2

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

a(1)=1 because 4*1-1=3 and 4*1+3=7 are prime.

Mathematica

Select[Range[1100], AllTrue[4#+{3, -1}, PrimeQ]&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Jan 28 2021 *)

Crossrefs

Sequence in context: A088348 A156004 A174194 * A181580 A118754 A140559

Adjacent sequences: A174234 A174235 A174236 * A174238 A174239 A174240

Keyword

nonn,easy

Author

Juri-Stepan Gerasimov, Mar 13 2010

Extensions

Corrected by Charles R Greathouse IV, Mar 18 2010

498, 708 removed, 770 and 791 inserted.... - R. J. Mathar, Mar 29 2010

Status

approved