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A002837 Numbers n such that n^2 - n + 41 is prime.
(Formerly M0473 N0174)
11
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: A180925 A247151 A083243 * A056561 A236674 A174670

Adjacent sequences:  A002834 A002835 A002836 * A002838 A002839 A002840

KEYWORD

nonn,nice,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified December 19 16:03 EST 2014. Contains 252236 sequences.