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Search: id:A067834
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| A067834 |
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Norm in ring Z[sqrt(3)] of (((-1+sqrt(3))^n)-1) is prime |
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+0
1
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| 2, 3, 7, 13, 19, 43, 61, 151, 257, 751, 859, 1453, 3767, 3889, 8171, 15959, 61961
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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M. Oakes, Posting to primenumbers list on Feb 08 2002
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FORMULA
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(-2)^n-lucasV(-2, -2, n)+1, where lucasV(-2, -2, n) is the solution of the recurrence relation v[0]=2, v[1]=-2, v[n+2]=-2*v[n+1]+2*v[n] n >= 0.
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EXAMPLE
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a(2)=3 because (-2)^3-lucasV(-2,-2,3)+1 = -8-(-20)+1 = 13 and 13 is prime.
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CROSSREFS
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Sequence in context: A130272 A038940 A019383 this_sequence A070754 A049887 A048216
Adjacent sequences: A067831 A067832 A067833 this_sequence A067835 A067836 A067837
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KEYWORD
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easy,nice,nonn
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AUTHOR
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Mike Oakes (mikeoakes2(AT)aol.com), Feb 09 2002
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