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A125283 Primes p such that there exist 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). +0
2
2, 3, 13, 103, 131 (list; graph; listen)
OFFSET

1,1

COMMENT

Sequence suggested by W. Edwin Clark (wclark1(AT)tampabay.rr.com).

Is this sequence finite?

Primes not in A126769 are listed in A128292.

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 (rgwv@rgwv.com), Mar 01 2007 *)

CROSSREFS

Cf. A126769.

Sequence in context: A061912 A013167 A068096 this_sequence A068083 A137459 A072162

Adjacent sequences: A125280 A125281 A125282 this_sequence A125284 A125285 A125286

KEYWORD

nonn

AUTHOR

Tomas Xordan (xordan.tom(AT)gmail.com), Feb 25 2007

EXTENSIONS

No other terms < 5*10^7. - Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Mar 15 2007

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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