A006315 Numbers n such that n^32 + 1 is prime. (Formerly M5208)

1, 30, 54, 96, 112, 114, 132, 156, 332, 342, 360, 376, 428, 430, 432, 448, 562, 588, 726, 738, 804, 850, 884, 1068, 1142, 1198, 1306, 1540, 1568, 1596, 1678, 1714, 1754, 1812, 1818, 1878, 1906, 1960, 1962, 2046, 2098, 2118, 2142, 2330, 2418, 2434, 2654, 2668

Offset

1,2

References

Dubner, Harvey. "Generalized Fermat primes." J. Recreational Math., 18 (1985): 279-280.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Ray Chandler, Table of n, a(n) for n = 1..10000 (first 1000 terms from T. D. Noe)

Mathematica

lst={}; Do[If[PrimeQ[n^32+1], Print[n]; AppendTo[lst, n]], {n, 10^5}]; lst (* Vladimir Joseph Stephan Orlovsky, Aug 21 2008 *)
Select[Range[0, 2700], PrimeQ[(#^32 + 1)] &] (* Vincenzo Librandi, Sep 25 2012 *)

Prog

(PARI) isA006315(n) = isprime(n^32+1) \\ Michael B. Porter, Mar 26 2010
(Magma)[n: n in [1..3000] | IsPrime(n^32 + 1)]; // Vincenzo Librandi, Sep 25 2012

Crossrefs

Cf. A005574, A000068, A006314, A006313, A006316, A056994, A056995, A057465, A057002, A088361, A088362, A226528, A226529, A226530, A251597, A253854, A244150, A243959, A321323.

Sequence in context: A043952 A304047 A174071 * A027578 A189712 A029713

Adjacent sequences: A006312 A006313 A006314 * A006316 A006317 A006318

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Hugo Pfoertner, Jun 22 2003

Status

approved