A052292 Primes of form 4*p^2 + 1, p prime.

17, 37, 101, 197, 677, 5477, 8837, 17957, 21317, 42437, 98597, 106277, 148997, 217157, 401957, 454277, 1196837, 1378277, 1674437, 1705637, 1833317, 1865957, 2390117, 2735717, 3118757, 3147077, 3587237, 3865157, 4104677, 4519877

Offset

1,1

Links

T. D. Noe, Table of n, a(n) for n = 1..10000

Formula

q = 4p^2 + 1 primes

Example

a(10) = 42437 = 4*103*103 + 1, where 103 is the generating prime.

Mathematica

Select[Prime[Range[350000]], PrimeQ[Sqrt[(#-1)/4]]&] (* Harvey P. Dale, Feb 20 2011 *)

Crossrefs

Cf. A052291.

Sequence in context: A350096 A269240 A060429 * A154301 A057185 A157467

Adjacent sequences: A052289 A052290 A052291 * A052293 A052294 A052295

Keyword

nonn

Author

Labos Elemer, Feb 08 2000

Status

approved