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A272323
Nonnegative numbers n such that abs(82n^3 - 1228n^2 + 6130n - 5861) is prime.
5
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, 34, 37, 39, 41, 43, 47, 49, 50, 53, 54, 55, 59, 61, 63, 64, 67, 72, 73, 75, 76, 81, 84, 86, 87, 88, 89, 90, 92, 95, 97, 98, 102, 103, 104
OFFSET
1,3
COMMENTS
32 is the smallest number not in this sequence.
LINKS
Eric Weisstein's World of Mathematics, Prime-Generating Polynomials
EXAMPLE
4 is in this sequence since 82*4^3 - 1228*4^2 + 6130*4 - 5861 = 5248-19648+24520-5861 = 4259 is prime.
MATHEMATICA
Select[Range[0, 100], PrimeQ[82#^3 - 1228#^2 + 6130# - 5861] &]
PROG
(PARI) lista(nn) = for(n=0, nn, if(isprime(abs(82*n^3-1228*n^2+6130*n-5861)), print1(n, ", "))); \\ Altug Alkan, Apr 25 2016
KEYWORD
nonn
AUTHOR
Robert Price, Apr 25 2016
STATUS
approved