A272555 - OEIS

A272555

Primes of the form abs(1/(36)(n^6 - 126n^5 + 6217n^4 - 153066n^3 + 1987786n^2 - 13055316n + 34747236)) in order of increasing nonnegative n.

965201, 653687, 429409, 272563, 166693, 98321, 56597, 32969, 20873, 15443, 13241, 12007, 10429, 7933, 4493, 461, 3583, 6961, 9007, 9157, 7019, 2423, 4549, 13553, 23993, 35051, 45737, 54959, 61613, 64693, 63421, 57397, 46769, 32423, 16193, 1091, 8443, 6271

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Robert Price, Table of n, a(n) for n = 1..2128

Eric Weisstein's World of Mathematics, Prime-Generating Polynomials

EXAMPLE

166693 is in this sequence since abs(1/(36)(4^6 - 126*4^5 + 6217*4^4 - 153066*4^3 + 1987786*4^2 - 13055316*4 + 34747236)) = abs((4096 - 129024 + 1591552 - 9796224 + 31804576 - 5222126 + 34747236)/36) = 166693 is prime.

MATHEMATICA

n = Range[0, 100]; Select[1/(36)(n^6 - 126n^5 + 6217n^4 - 153066n^3 + 1987786n^2 - 13055316n + 34747236), PrimeQ[#] &]

CROSSREFS

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

Cf. A271980, A272030, A272074, A272075, A272159, A271143, A272284, A272302, A272437, A272443, A268200, A272554.

Sequence in context: A022236 A083609 A093216 * A121888 A178292 A237337

Adjacent sequences: A272552 A272553 A272554 * A272556 A272557 A272558

KEYWORD

nonn

AUTHOR

Robert Price, May 02 2016

STATUS

approved