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 A002837 Numbers n such that n^2 - n + 41 is prime. (Formerly M0473 N0174) 20
 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, A060566. Sequence in context: A247151 A267069 A083243 * A271143 A056561 A321993 Adjacent sequences:  A002834 A002835 A002836 * A002838 A002839 A002840 KEYWORD nonn,nice,easy AUTHOR STATUS approved

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Last modified August 18 20:02 EDT 2019. Contains 326109 sequences. (Running on oeis4.)