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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, 72 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

REFERENCES

T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 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^2-n+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^2-n+41), v=concat(v, n), )); v

(MAGMA) [n: n in [0..100] |IsPrime(n^2-n+41)]; // Vincenzo 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,changed

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 25 23:29 EDT 2014. Contains 248566 sequences.