

A002837


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


9



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
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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


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)][From V.Librandi, Nov 21 2010]


CROSSREFS

Cf. A007634, A056561.
Sequence in context: A044923 A180925 A083243 * A056561 A236674 A174670
Adjacent sequences: A002834 A002835 A002836 * A002838 A002839 A002840


KEYWORD

nonn,nice,easy


AUTHOR

N. J. A. Sloane.


STATUS

approved



