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A117808 Primes of the form floor(((2 + sqrt(3))^n + (2 - sqrt(3))^n)/4). 2
3, 13, 181, 2521, 489061, 6811741, 1321442641, 18405321661, 381765135195632792959100810331957408101589361 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Gaukman sequence from Mathworld Mathematica notebook.

Primes among absolute values of A108946.

REFERENCES

Eric Weisstein. "Prime-Generating Polynomial." http://mathworld.wolfram.com/Prime-GeneratingPolynomial.html

MATHEMATICA

a=Expand[Table[(((2 + Sqrt[3])^#1 + (2 - Sqrt[3])^#1)/4 & )[Prime[n]], {n, 10}]] Floor[a]

CROSSREFS

Sequence in context: A114317 A168320 A081299 * A002065 A087601 A145503

Adjacent sequences:  A117805 A117806 A117807 * A117809 A117810 A117811

KEYWORD

nonn

AUTHOR

Roger Bagula (rlbagulatftn(AT)yahoo.com), Apr 29 2006

EXTENSIONS

Definition and terms corrected by N. J. A. Sloane, May 21, 2010

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Last modified February 16 14:37 EST 2012. Contains 205930 sequences.