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A049422 Numbers n such that n^2 + 3 is prime. 25
0, 2, 4, 8, 10, 14, 22, 28, 38, 50, 52, 62, 64, 70, 74, 76, 92, 94, 106, 112, 122, 130, 134, 140, 146, 154, 158, 160, 172, 178, 218, 230, 242, 244, 248, 256, 274, 286, 298, 304, 316, 322, 326, 340, 350, 356, 364, 368, 398, 406, 416, 424, 430, 434, 440, 458, 470 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Zak Seidov, Table of n, a(n) for n = 1..1000

Eric Weisstein's World of Mathematics, Near-Square Prime

EXAMPLE

4^2 + 3 = 19, which is prime.

MATHEMATICA

lst={}; Do[If[PrimeQ[n^2+3], Print[n]; AppendTo[lst, n]], {n, 10^5}]; lst (* Vladimir Joseph Stephan Orlovsky, Aug 21 2008 *)

PROG

(PARI) isA049422(n) = isprime(n^2+3) \\ Michael B. Porter, Mar 19 2010

CROSSREFS

Other sequences of the type "Numbers n such that n^2 + k is prime": A005574 (k=1), A067201 (k=2), A007591 (k=4), A078402 (k=5), A114269 (k=6), A114270 (k=7), A114271 (k=8), A114272 (k=9), A114273 (k=10), A114274 (k=11), A114275 (k=12).

Sequence in context: A206037 A242247 A089033 * A178215 A067925 A102431

Adjacent sequences:  A049419 A049420 A049421 * A049423 A049424 A049425

KEYWORD

easy,nonn

AUTHOR

Paul Jobling (paul.jobling(AT)whitecross.com)

STATUS

approved

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Last modified December 8 09:03 EST 2016. Contains 278906 sequences.