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Search: id:A153867
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| A153867 |
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Primes of the form : sum of four consecutive Fibonacci numbers is prime number. |
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+0
7
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| 7, 11, 29, 47, 199, 521, 2207, 3571, 9349, 3010349, 54018521, 370248451, 6643838879, 119218851371, 5600748293801, 688846502588399, 32361122672259149, 412670427844921037470771
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OFFSET
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1,1
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COMMENT
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1+1+2+3=7, 1+2+3+5=11, 3+5+8+13=29, 5+8+13+21=47, 21+34+55+89=199,...
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FORMULA
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a(n)=A005479(n+2). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 05 2009]
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MATHEMATICA
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a=0; b=1; c=1; lst={}; Do[d=Fibonacci[n]; p=a+b+c+d; If[PrimeQ[p], AppendTo[lst, p]]; a=b; b=c; c=d, {n, 3, 6!}]; lst
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CROSSREFS
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Cf. A000045, A001906, A000071, A001605, A153862, A153863, A153865, A153866
Sequence in context: A023254 A129807 A045461 this_sequence A153325 A109907 A083363
Adjacent sequences: A153864 A153865 A153866 this_sequence A153868 A153869 A153870
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KEYWORD
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nonn
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 03 2009
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