A125283 Primes p for which there exists no integer n with 1 < n^2 < p such that n^4 - n^2 + p is prime (i.e., primes that don't arise as q's in A126769).

2, 3, 13, 103, 131

Offset: 1

Author

Tomas Xordan, Feb 25 2007

Keywords

• nonn
• more

Comments

Sequence suggested by W. Edwin Clark.

Is this sequence finite?

Primes not in A126769 are listed in A128292.

Next term >= 5*10^7. - Klaus Brockhaus, Mar 15 2007

Next term > 2*10^9. - Jon E. Schoenfield, Apr 06 2018

Crossrefs

Cf. A126769.

Programs

Mathematica

fQ[p_] := Block[{r = Rest@Range@Floor@Sqrt@p}, Union@ PrimeQ[r^4 - r^2 + p] == {False}]; lst = {2, 3}; Do[ If[ fQ@ Prime@n, AppendTo[lst, Prime@n]], {n, 3, 10^5}]; lst (* Robert G. Wilson v, Mar 01 2007 *)