

A002837


Numbers n such that n^2  n + 41 is prime.
(Formerly M0473 N0174)


17



0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 43, 44, 46, 47, 48, 49, 51, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 67, 68, 69, 70, 71, 72
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OFFSET

1,3


REFERENCES

T. M. Apostol, Introduction to Analytic Number Theory, SpringerVerlag, 1976, page 6.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).


LINKS

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


MAPLE

A002837:=n>`if`(isprime(n^2n+41), n, NULL): seq(A002837(n), n=0..100); # Wesley Ivan Hurt, Oct 21 2014


MATHEMATICA

Select[Range[0, 100], PrimeQ[#^2#+41]&] (* Harvey P. Dale, May 27 2012 *)


PROG

(PARI) v=[ ]; for(n=0, 100, if(isprime(n^2n+41), v=concat(v, n), )); v
(MAGMA) [n: n in [0..100] IsPrime(n^2n+41)]; // Vincenzo Librandi, Nov 21 2010


CROSSREFS

Cf. A007634, A056561.
Sequence in context: A247151 A267069 A083243 * A271143 A056561 A236674
Adjacent sequences: A002834 A002835 A002836 * A002838 A002839 A002840


KEYWORD

nonn,nice,easy


AUTHOR

N. J. A. Sloane.


STATUS

approved



