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A173684
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Semiprimes of the form Fibonacci(k) + k.
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1
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10, 14, 65, 391, 1003, 2602, 10967, 2178341, 701408777, 86267571326, 591286729937, 4052739537943, 72723460248209, 117669030461063, 3416454622906783, 61305790721611673, 420196140727489759, 2427893228399975082557, 251728825683549488150424389
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OFFSET
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1,1
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COMMENTS
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This is to A069108 as semiprimes are to primes. A002062(k) is semiprime for k = 5, 6, 10, 14, 16, 18, 21, 32, ...
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LINKS
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FORMULA
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EXAMPLE
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F(21) + 21 = 10967 = 11 * 997, thus 10967 is in the sequence.
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MATHEMATICA
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Select[Table[Fibonacci[n]+n, {n, 200}], PrimeOmega[#]==2&] (* Harvey P. Dale, Nov 02 2011 *)
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PROG
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(Magma) IsSemiprime:=func< n | &+[ k[2]: k in Factorization(n) ] eq 2 >; [ a: n in [1..100] | IsSemiprime(a) where a is n+Fibonacci(n) ]; // Klaus Brockhaus, Jan 27 2011
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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