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A006315 Numbers n such that n^32 + 1 is prime.
(Formerly M5208)
35

%I M5208 #42 Sep 08 2022 08:44:34

%S 1,30,54,96,112,114,132,156,332,342,360,376,428,430,432,448,562,588,

%T 726,738,804,850,884,1068,1142,1198,1306,1540,1568,1596,1678,1714,

%U 1754,1812,1818,1878,1906,1960,1962,2046,2098,2118,2142,2330,2418,2434,2654,2668

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

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

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

%H Ray Chandler, <a href="/A006315/b006315.txt">Table of n, a(n) for n = 1..10000</a> (first 1000 terms from T. D. Noe)

%t lst={};Do[If[PrimeQ[n^32+1], Print[n];AppendTo[lst, n]], {n, 10^5}];lst (* _Vladimir Joseph Stephan Orlovsky_, Aug 21 2008 *)

%t Select[Range[0, 2700], PrimeQ[(#^32 + 1)] &] (* _Vincenzo Librandi_, Sep 25 2012 *)

%o (PARI) isA006315(n) = isprime(n^32+1) \\ _Michael B. Porter_, Mar 26 2010

%o (Magma)[n: n in [1..3000] | IsPrime(n^32 + 1)]; // _Vincenzo Librandi_, Sep 25 2012

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

%K nonn,easy

%O 1,2

%A _N. J. A. Sloane_

%E More terms from _Hugo Pfoertner_, Jun 22 2003

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Last modified April 25 12:15 EDT 2024. Contains 371969 sequences. (Running on oeis4.)