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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 (list; constant; graph; refs; listen; history; text; internal format)
 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! G. L. Honaker, Jr., Prime Curios! 0.4323320871859028689... Marek Wolf, Continued fractions constructed from prime numbers, arxiv:1003.4015 [math.NT], 2010. FORMULA 1/A064442. - Franklin T. Adams-Watters, Jul 31 2009 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 Cf. A000040, A084256, A084257, A152062 Sequence in context: A016501 A248912 A152062 * A247847 A076576 A332558 Adjacent sequences:  A084252 A084253 A084254 * A084256 A084257 A084258 KEYWORD nonn,cons AUTHOR Frank Ellermann, May 23 2003 STATUS approved

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Last modified June 20 08:57 EDT 2021. Contains 345162 sequences. (Running on oeis4.)