[math-fun] Re: the number 7088 is of no particular interest.
Et al, Will I be able to prove that 2+2 = 5 using the logic below? Seriously, how close to the Benford Law does the OEIS follow? Bob. Simon Plouffe wrote:
Hello,
(this is a useless statistic)
in the old days the number 417, did not appear anywhere in the EIS (as of 1994) just before the publication of the book, now the
smallest integer not being in the table is 7088.
Which means that this number is of small interest (so far).
The statistic is also of small interest.
note : 7088 = 2^4 * 443
Obviously all numbers are included in A000027 (the natural integers).
this is surprising that 2^4 * 443 is not there, isn't ?
Here is a graph of the log(# entries) from 1 to 30000
http://www.lacim.uqam.ca/~plouffe/OEISstatistics.gif
Simon Plouffe
At 01:02 PM 7/6/2004, Robert G. Wilson v wrote:
Et al,
Seriously, how close to the Benford Law does the OEIS follow?
It is pretty close. Using a slightly old data set and ignoring zeros, I get: d count % Benford expected % 1 1084878 32.0 30.1 2 582611 17.2 17.6 3 403338 11.9 12.5 4 322835 9.5 9.7 5 256521 7.6 7.9 6 225789 6.7 6.7 7 189952 5.6 5.8 8 172542 5.1 5.1 9 151760 4.5 4.6
At 10:34 PM 7/7/2004, Jud McCranie wrote:
At 01:02 PM 7/6/2004, Robert G. Wilson v wrote:
Et al,
Seriously, how close to the Benford Law does the OEIS follow?
It is pretty close. Using a slightly old data set and ignoring zeros, I get:
d count % Benford expected %
1 1084878 32.0 30.1 2 582611 17.2 17.6 3 403338 11.9 12.5 4 322835 9.5 9.7 5 256521 7.6 7.9 6 225789 6.7 6.7 7 189952 5.6 5.8 8 172542 5.1 5.1 9 151760 4.5 4.6
And doing a chi-squared test on the data shows that it is an astronomically good fit.
At 11:07 PM 7/8/2004, Jud McCranie wrote:
And doing a chi-squared test on the data shows that it is an astronomically good fit.
I made a mistake. I get a chi-squared value of 6303.8, with 8 degrees of freedom, which means that we can strongly reject the hypothesis that the OEIS data is Benford. However, looking at the percentages, it looks relatively close.
participants (2)
-
Jud McCranie -
Robert G. Wilson v