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Search: id:A052011
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| A052011 |
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Number of primes between successive Fibonacci numbers. |
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+0
4
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| 0, 0, 0, 0, 1, 1, 2, 3, 5, 7, 10, 16, 23, 37, 55, 84, 125, 198, 297, 458, 704, 1087, 1673, 2602, 4029, 6263, 9738, 15186, 23704, 36981, 57909, 90550, 142033, 222855, 349862, 549903, 865019, 1361581, 2145191, 3381318, 5334509, 8419527, 13298630
(list; graph; listen)
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OFFSET
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1,7
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EXAMPLE
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Between Fib(9)=34 and Fib(10)=55 we find the following primes: 37, 41, 43, 47 and 53 hence a(9)=5.
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MATHEMATICA
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lst={}; Do[p=0; Do[If[PrimeQ[a], p++ ], {a, Fibonacci[n]+1, Fibonacci[n+1]-1}]; AppendTo[lst, p], {n, 50}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 23 2009]
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CROSSREFS
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Cf. A000040, A052012.
Sequence in context: A116975 A134792 A033068 this_sequence A005468 A104622 A033843
Adjacent sequences: A052008 A052009 A052010 this_sequence A052012 A052013 A052014
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KEYWORD
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nonn,nice,new
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AUTHOR
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Patrick De Geest (pdg(AT)worldofnumbers.com), Nov 15 1999.
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