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A084255
Decimal expansion of continued fraction 1/(2+1/(3+1/(5+1/(7+1/(11+...))))).
9
4, 3, 2, 3, 3, 2, 0, 8, 7, 1, 8, 5, 9, 0, 2, 8, 6, 8, 9, 0, 9, 2, 5, 3, 7, 9, 3, 2, 4, 1, 9, 9, 9, 9, 6, 3, 7, 0, 5, 1, 1, 0, 8, 9, 6, 8, 7, 7, 6, 5, 1, 3, 1, 0, 3, 2, 8, 1, 5, 2, 0, 6, 7, 1, 5, 8, 5, 5, 3, 9, 0, 5, 1, 1, 5, 2, 9, 5, 8, 8, 6, 6, 4, 2, 4, 7, 7, 3, 0, 2, 3, 4, 6, 7, 5, 3, 0, 7, 3, 1, 2, 9
OFFSET
0,1
COMMENTS
Decimal expansion of the constant whose continued fraction form is the sequence of all the prime numbers.
LINKS
Michael Hartley, 0.4323320871859028689.., Prime Curios!
Marek Wolf, Continued fractions constructed from prime numbers, arxiv:1003.4015 [math.NT], 2010.
FORMULA
EXAMPLE
0.4323320871859028689...
MATHEMATICA
RealDigits[1/FromContinuedFraction@ Prime@ Range@ 34, 10, 111] (* or *)
RealDigits[ Fold[1/(#1 + #2) &, 1, Reverse@ Prime@ Range@35], 10, 111] (* Robert G. Wilson v, Dec 26 2016 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Frank Ellermann, May 23 2003
STATUS
approved