login
A247856
Decimal expansion of the value of the continued fraction [0; 3, 5, 5, 7, 11, 13, 17, 19, ...] generated by twin primes.
3
3, 1, 3, 2, 3, 3, 0, 8, 0, 9, 8, 6, 9, 4, 5, 9, 1, 2, 6, 3, 0, 7, 8, 6, 4, 8, 6, 4, 7, 2, 1, 7, 2, 8, 0, 0, 4, 3, 9, 2, 5, 1, 1, 7, 4, 5, 0, 5, 2, 2, 5, 3, 9, 7, 1, 7, 3, 2, 6, 8, 4, 8, 5, 4, 0, 4, 4, 3, 1, 4, 5, 9, 0, 8, 5, 0, 2, 0, 1, 0, 3, 6, 8, 3, 6, 9, 3, 8, 1, 0, 8, 9, 1, 2, 6, 2, 6, 7, 6, 9, 8
OFFSET
0,1
LINKS
Eric Weisstein's MathWorld, Twin Primes
Marek Wolf, Continued fractions constructed from prime numbers, arxiv.org/abs/1003.4015, p. 6.
EXAMPLE
0.313233080986945912630786486472172800439251174505225397...
MATHEMATICA
twinPrimes = Select[{#, #+2}& /@ Prime[Range[100]], PrimeQ[Last[#]]&] // Flatten; u2 = FromContinuedFraction[Join[{0}, twinPrimes]]; RealDigits[u2, 10, 101] // First
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
STATUS
approved