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A132145
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Numbers that can be presented as a sum of a prime number and a Fibonacci number (0 is considered to be a Fibonacci number).
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3
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2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| This sequence is the union of prime numbers and sequence A132147. It is also the complement of A132144.
Lee shows that the set of the numbers that are the sum of a prime and a Fibonacci number has positive lower asymptotic density. [From Jonathan Vos Post (jvospost3(AT)gmail.com), Nov 02 2010]
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LINKS
| T. D. Noe, Table of n, a(n) for n=1..1000
K. S. Enoch Lee, On the sum of a prime and a Fibonacci number, Oct 30, 2010. [From Jonathan Vos Post (jvospost3(AT)gmail.com), Nov 02 2010]
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EXAMPLE
| 11 = 3+8, the sum of a prime number (3) and a Fibonacci number (8).
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MATHEMATICA
| Take[Union[Flatten[Table[Fibonacci[n] + Prime[k], {n, 70}, {k, 70}]], Table[Prime[k], {k, 70}]], 70]
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CROSSREFS
| Sequence in context: A178772 A085735 A044922 * A146296 A071670 A090111
Adjacent sequences: A132142 A132143 A132144 * A132146 A132147 A132148
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KEYWORD
| nonn
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AUTHOR
| Tanya Khovanova (tanyakh(AT)yahoo.com), Aug 12 2007
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