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 A267252 Primes of the form abs(103*n^2 - 4707*n + 50383) in order of increasing nonnegative n. 4

%I

%S 50383,45779,41381,37189,33203,29423,25849,22481,19319,16363,13613,

%T 11069,8731,6599,4673,2953,1439,131,971,1867,2557,3041,3319,3391,3257,

%U 2917,2371,1619,661,503,1873,3449,5231,7219,9413,11813,14419,17231,20249,23473,26903

%N Primes of the form abs(103*n^2 - 4707*n + 50383) in order of increasing nonnegative n.

%C This polynomial is a transformed version of the polynomial P(x) = 103*x^2 + 31*x - 3391 whose absolute value gives 43 distinct primes for -23 <= x <= 19, found by G. W. Fung in 1988. - _Hugo Pfoertner_, Dec 13 2019

%D Paulo Ribenboim, The Little Book of Bigger Primes, Second Edition, Springer-Verlag New York, 2004.

%H Robert Price, <a href="/A267252/b267252.txt">Table of n, a(n) for n = 1..3885</a>

%H François Dress and Michel Olivier, <a href="https://projecteuclid.org/euclid.em/1047262355">Polynômes prenant des valeurs premières</a>, Experimental Mathematics, Volume 8, Issue 4 (1999), 319-338.

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

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

%t n = Range[0, 100]; Abs @ Select[103n^2 - 4707n + 50383 , PrimeQ[#] &]

%o (PARI) lista(nn) = for(n=0, nn, if(isprime(p=abs(103*n^2-4707*n+50383)), print1(p, ", "))); \\ _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, A272118, A272159, A271143, A272284, A272323, A267069, A330363.

%K nonn,less

%O 1,1

%A _Robert Price_, Apr 28 2016

%E Title corrected by _Hugo Pfoertner_, Dec 13 2019

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Last modified April 10 17:00 EDT 2021. Contains 342852 sequences. (Running on oeis4.)