A271144 - OEIS

A271144

Primes of the form 42*k^3 + 270*k^2 - 26436*k + 250703 in order of increasing k.

250703, 224579, 199247, 174959, 151967, 130523, 110879, 93287, 77999, 65267, 55343, 48479, 44927, 44939, 48767, 56663, 68879, 85667, 107279, 133967, 165983, 203579, 247007, 296519, 352367, 414803, 484079, 560447, 644159, 735467, 834623, 941879, 1057487

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OFFSET

1,1

COMMENTS

This cubic polynomial produces 40 consecutive primes for k = 0, 1, ..., 39. - Hilko Koning, Jan 20 2026

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000 (first 3092 terms from Robert Price)

Eric Weisstein's World of Mathematics, Prime-Generating Polynomial.

EXAMPLE

151967 is prime and it is in this sequence since 151967 = 42*4^3 + 270*4^2 - 26436*4 + 250703.

MAPLE

f:=k -> 42*k^3 + 270*k^2 - 26436*k + 250703:

select(isprime, map(f, [$0..100])); # Robert Israel, Jan 20 2026

MATHEMATICA

n = Range[0, 100]; Select[42n^3 + 270n^2 - 26436n + 250703, PrimeQ[#] &]

CROSSREFS

Cf. A050265, A050266, A050267, A050268, A005846, A007641, A007635, A048988, A256585.

Cf. A271980, A272074, A272075, A272118, A272159, A271143 (associated k).

Sequence in context: A018236 A183268 A043655 * A058004 A272438 A183668

Adjacent sequences: A271141 A271142 A271143 * A271145 A271146 A271147

KEYWORD

nonn

AUTHOR

Robert Price, Apr 23 2016

STATUS

approved