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A078727 Smallest prime a(n) > a(n-1) such that a(1) + ... + a(n) is a Fibonacci number. +0
3
2, 3, 29, 199, 2351, 24155233, 79757008057644623350300078764807923712509139103039448418553259155159833055572871\ , 36684474316080978061473613646275630451020829893137585191919942789652960137481051\ 718801295569460987256072983944701335181 (list; graph; listen)
OFFSET

1,1

COMMENT

Some of the larger entries may only correspond to probable primes.

EXAMPLE

a(1)=2, the smallest prime to be a Fibonacci number. The smallest prime >2 that yields a Fibonacci number when added to 2 is 3, so a(2)=3. The smallest prime > 3 that yields a Fibonacci number when added to 2+3 is 29 so a(3)=29.

CROSSREFS

Cf. A000045.

Sequence in context: A144953 A064893 A141514 this_sequence A076977 A109886 A127615

Adjacent sequences: A078724 A078725 A078726 this_sequence A078728 A078729 A078730

KEYWORD

nonn

AUTHOR

N. Fernandez (primeness(AT)borve.org), Dec 20 2002

EXTENSIONS

More terms from Jack Brennen (jb(AT)brennen.net), Dec 20 2002. For additional terms see A078735.

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.


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