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 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 (list; graph; refs; listen; history; text; internal format)
 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 LINKS Table of n, a(n) for n=1..5. 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 Adjacent sequences: A125280 A125281 A125282 * A125284 A125285 A125286 KEYWORD nonn,more AUTHOR Tomas Xordan, Feb 25 2007 STATUS approved

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Last modified December 1 23:26 EST 2023. Contains 367503 sequences. (Running on oeis4.)