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A066889 nextprime(m+2)-m, where m = Prod(k = 1 to n, fib(k)). +0
1
2, 2, 3, 5, 7, 11, 17, 17, 37, 23, 47, 37, 29, 19, 47, 59, 19, 37, 71, 59, 31, 67, 239, 101, 739, 409, 43, 367, 167, 251, 73, 71, 419, 1567, 107, 83, 223, 191, 227, 449, 97, 173, 103, 523, 79, 137, 223, 1163, 661, 103, 103, 541, 227, 2383, 433, 71 (list; graph; listen)
OFFSET

1,1

COMMENT

The first 56 terms are primes. Are all terms prime? See reference for similary sequences.

EXAMPLE

a(4)=5 because Fibonacci(1)*fibonacci(2)*fibonacci(3)*fibonacci(4)=1*1*2*3=6 and the smallest prime greater 6+1=7 is 11, so the difference is 11-6=5.

MAPLE

(MuPAD) f := 1:for n from 1 to 100 do f := f*numlib::fibonacci(n):a := nextprime(f+2)-f:print(a) end_for

CROSSREFS

Cf. A067362.

Sequence in context: A022864 A039894 A133225 this_sequence A077419 A125189 A147997

Adjacent sequences: A066886 A066887 A066888 this_sequence A066890 A066891 A066892

KEYWORD

nonn

AUTHOR

Frank Buss (fb(AT)frank-buss.de), Jan 22 2002

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Last modified December 9 18:50 EST 2009. Contains 170568 sequences.


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