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A346173 Decimal expansion of Sum_{k>=1} prime(k)/2^prime(k). 2
1, 0, 9, 3, 0, 6, 4, 2, 5, 7, 7, 0, 2, 5, 0, 7, 1, 6, 5, 4, 0, 2, 5, 8, 5, 9, 5, 2, 6, 9, 6, 7, 6, 3, 6, 8, 2, 9, 5, 5, 4, 7, 5, 9, 6, 5, 4, 0, 1, 2, 1, 5, 0, 6, 4, 0, 2, 7, 7, 2, 0, 3, 3, 5, 3, 0, 1, 2, 2, 4, 7, 5, 8, 8, 1, 4, 8, 9, 0, 0, 5, 8, 2, 5, 4, 0, 1, 1, 1, 2, 9, 8, 3, 4, 5, 7, 5, 4, 7, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
This constant is irrational (Hančl and Tijdeman, 2004).
LINKS
Jaroslav Hančl and Robert Tijdeman, On the irrationality of Cantor series, Journal für die reine und angewandte Mathematik, Vol. 2004, No. 571 (2004), pp. 145-158.
FORMULA
1.09306425770250716540258595269676368295547596540121...
MATHEMATICA
RealDigits[Sum[Prime[n]/2^Prime[n], {n, 1, 100}], 10, 100][[1]]
PROG
(PARI) suminf(k=1, prime(k)/2^prime(k)) \\ Michel Marcus, Jul 09 2021
CROSSREFS
Sequence in context: A199605 A021522 A154901 * A057823 A011461 A302716
KEYWORD
nonn,cons
AUTHOR
Amiram Eldar, Jul 08 2021
STATUS
approved

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Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)