

A272813


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


1



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, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66
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OFFSET

1,3


COMMENTS

80 is the smallest number not in this sequence.
See A005846 for the corresponding primes.


LINKS

Robert Price, Table of n, a(n) for n = 1..4179
Eric Weisstein's World of Mathematics, PrimeGenerating Polynomials


EXAMPLE

4 is in this sequence since 4^2  79*4 + 1601 = 16316+1601 = 1301 is prime.


MATHEMATICA

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


PROG

(PARI) lista(nn) = for(n=0, nn, if(isprime(n^279*n+1601), print1(n, ", "))); \\ Altug Alkan, May 06 2016


CROSSREFS

Cf. A050268, A050267, A005846, A007641, A007635, A048988, A050265, A050266.
Cf. A271980, A272030, A272074, A272075, A272160, A271144, A272285, A272401, A272438, A272444, A272410, A272555, A272710, A005846.
Sequence in context: A038608 A105811 A209662 * A258070 A258071 A266279
Adjacent sequences: A272810 A272811 A272812 * A272814 A272815 A272816


KEYWORD

nonn


AUTHOR

Robert Price, May 06 2016


STATUS

approved



