login
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).
1
2, 3, 13, 103, 131
OFFSET
1,1
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
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 *)
CROSSREFS
Cf. A126769.
Sequence in context: A361520 A068096 A098462 * A098406 A280012 A224792
KEYWORD
nonn,more
AUTHOR
Tomas Xordan, Feb 25 2007
STATUS
approved