A125283 - OEIS

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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).

2, 3, 13, 103, 131 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`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(AT)rgwv.com), Mar 01 2007 *)`
	CROSSREFS	`Cf. A126769.` `Sequence in context: A061912 A013167 A068096 * A153888 A068083 A137459` `Adjacent sequences: A125280 A125281 A125282 * 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 February 17 23:49 EST 2012. Contains 206085 sequences.