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A272813 Nonnegative numbers n such that n^2 - 79n + 1601 is prime. 2

%I #15 Nov 08 2016 20:07:33

%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 26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,

%U 49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66

%N Nonnegative numbers n such that n^2 - 79n + 1601 is prime.

%C 80 is the smallest number not in this sequence.

%C See A005846 for the corresponding primes.

%H Robert Price, <a href="/A272813/b272813.txt">Table of n, a(n) for n = 1..4179</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 4^2 - 79*4 + 1601 = 16-316+1601 = 1301 is prime.

%t Select[Range[0, 100], PrimeQ[#^2 - 79# + 1601 ] &]

%o (PARI) lista(nn) = for(n=0, nn, if(isprime(n^2-79*n+1601), print1(n, ", "))); \\ _Altug Alkan_, May 06 2016

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

%Y Cf. A271980, A272030, A272074, A272075, A272160, A271144, A272285, A272401, A272438, A272444, A272410, A272555, A272710, A005846.

%K nonn

%O 1,3

%A _Robert Price_, May 06 2016

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Last modified July 29 13:27 EDT 2024. Contains 374734 sequences. (Running on oeis4.)