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A267069 Nonnegative numbers n such that abs(103*n^2 - 4707*n + 50383) is prime. 2

%I #37 Dec 13 2019 12:42:27

%S 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,

%T 26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,47,49,50,51,

%U 52,53,54,57,59,60,61,63,64,65,66,67,69,73,74,76,77,80

%N Nonnegative numbers n such that abs(103*n^2 - 4707*n + 50383) is prime.

%C 43 is the smallest number not in this sequence.

%C See A267252 for more information. - _Hugo Pfoertner_, Dec 13 2019

%H Robert Price, <a href="/A267069/b267069.txt">Table of n, a(n) for n = 1..3885</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Prime-GeneratingPolynomial.html">Prime-Generating Polynomials</a>

%e 4 is in this sequence since 103*4^2 - 4707*4 + 50383 = 1648-18828+50383 = 33203 is prime.

%t Select[Range[0, 100], PrimeQ[103#^2 - 4707# + 50383 ] &]

%o (PARI) lista(nn) = for(n=0, nn, if(isprime(abs(103*n^2-4707*n+50383)), print1(n, ", "))); \\ _Altug Alkan_, Apr 28 2016, corrected by _Hugo Pfoertner_, Dec 13 2019

%Y Cf. A050268, A050267, A005846, A007641, A007635, A048988, A050265, A050266.

%Y Cf. A271980, A272030, A272074, A272075, A272160, A271144, A272285, A267252.

%K nonn

%O 1,3

%A _Robert Price_, Apr 28 2016

%E Title corrected by _Hugo Pfoertner_, Dec 13 2019

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Last modified April 18 08:27 EDT 2024. Contains 371769 sequences. (Running on oeis4.)