A271729 Numbers n such that 2*Fibonacci(n+2)+((-1)^n-3)/2 is a prime.
1, 2, 6, 8, 14, 16, 32, 40, 66, 88, 112, 120, 146, 158, 318, 514, 630, 638, 680, 710, 1054, 1630, 2198, 2466, 2696, 2994, 3138, 3654, 3958, 5558, 7008, 11416, 11632, 13510, 19752, 24480
Offset: 1
Crossrefs
Cf. A066629.
Programs
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Magma
[n: n in [0..2000] | IsPrime(2*Fibonacci(n+2)+((-1)^n-3) div 2)];
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Maple
with(combinat): A271729:=n->`if`(isprime(2*fibonacci(n+2)+((-1)^n-3)/2), n, NULL): seq(A271729(n), n=1..3*10^3); # Wesley Ivan Hurt, Apr 13 2016
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Mathematica
Select[Range[10000], PrimeQ[(2 Fibonacci[# + 2] + ((-1)^# - 3) / 2)] &]
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PARI
lista(nn) = for(n=1, nn, if(ispseudoprime(2*fibonacci(n+2)+((-1)^n-3)/2), print1(n, ", "))); \\ Altug Alkan, Apr 13 2016
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