A246759 Nonnegative numbers k such that x^5 - x^4 + k is reducible.

0, 2, 9, 48, 324, 1280, 3750, 9072, 19208, 36864, 50625, 65610, 82944, 110000, 175692, 269568, 399854, 576240, 810000, 1114112, 1503378, 1994544, 2606420, 3360000, 4278582, 5387888, 6716184, 8294400

Offset

1,2

Comments

Next term > 10^7.

Links

Table of n, a(n) for n=1..28.

Example

For k=2, x^5 - x^4 + 2 is reducible: x^5 - x^4 + 2 = (x+1) * (x^4 - 2*x^3 + 2*x^2 - 2*x + 2).

Mathematica

Select[Range[0, 83*10^5], !IrreduciblePolynomialQ[x^5-x^4+#]&] (* Harvey P. Dale, Dec 11 2017 *)

Prog

(PARI) for(n=0, 10^7, if( !polisirreducible(x^5-x^4+n), print1(n, ", "))); \\ Joerg Arndt, Sep 06 2014

Crossrefs

Sequence in context: A354312 A052826 A358264 * A191005 A257544 A295944

Adjacent sequences: A246756 A246757 A246758 * A246760 A246761 A246762

Keyword

nonn

Author

M. Lawrence Glasser, Sep 02 2014

Extensions

More terms from Joerg Arndt, Sep 06 2014

Status

approved