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A094810
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Primes of the form F(n)*F(n+1)+F(n+2).
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0
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3, 5, 11, 23, 53, 307, 769, 5039, 13049, 603667, 1578823, 10810469, 427860443429, 16944504081930151, 31525215457325198354227
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OFFSET
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1,1
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COMMENTS
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Excluding the term a(4)=23, primes p such that p(n) is not a sum of two squares but p(n+1) is a sum of two squares.
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LINKS
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FORMULA
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5 is in the sequence because F(2)*F(3)+F(4) = 1*2+3=5.
11 is in because F(3)*F(4)+F(5) = 2*3+5 = 11
23 is in because F(4)*F(5)+F(6) = 3*5+8 = 23
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PROG
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(PARI) lista(nn) = {for (n=1, nn, if (isprime(p=fibonacci(n)*fibonacci(n+1) +fibonacci(n+2)), print1(p, ", ")); ); } \\ Michel Marcus, Jun 03 2013
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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