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A006315

Numbers n such that n^32 + 1 is prime.

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

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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 fromHugo Pfoertner, Jun 22 2003

STATUS

approved