Bernoulli numbers and large factorials

02092014, 09:26 PM
(This post was last modified: 02092014 10:13 PM by Dieter.)
Post: #6




RE: Bernoulli numbers and large factorials
(02092014 08:01 PM)Marcus von Cube Wrote: The WP 34S has Bn builtin. In double precision mode I can get B2122. Larger arguments return 0 (which can be considered a bug). On my 34s (v. 3.2 3405) both B2124 and Zeta (2123) still return a result, while beyond that a "+∞ Error" is displayed. Do you really get a zero here? If 11 valid digits are sufficient, the 35s program does a good job and, compared to the 34s, it is really fast. I wonder how the 34s will perform with the same algorithm in user code. OK, 34 digits for n as low as 10 or 12 will take somewhat longer. ;) EDIT: The reason for the 34s limit at B2122 probably is the same as the one mentioned in my original post: it's the factorial function. In DP mode the 34s still can handle 2122! but 2124! will cause an overflow. This could be overcome by using the permutation function. A quickanddirty test confirmed that B2776 = 1,01268...E+6140 can be done. The result is returned in about a second. Dieter 

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Messages In This Thread 
Bernoulli numbers and large factorials  Dieter  02092014, 04:59 PM
RE: Bernoulli numbers and large factorials  Tugdual  02092014, 07:47 PM
RE: Bernoulli numbers and large factorials  Marcus von Cube  02092014, 08:01 PM
RE: Bernoulli numbers and large factorials  Dieter  02092014 09:26 PM
RE: Bernoulli numbers and large factorials  Dieter  02092014, 08:43 PM
RE: Bernoulli numbers and large factorials  Bunuel66  02092014, 08:42 PM
RE: Bernoulli numbers and large factorials  Paul Dale  02092014, 09:44 PM
RE: Bernoulli numbers and large factorials  Dieter  02122014, 08:56 PM

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