Solving k^m = q mod N
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From: Mark Murray on 11 Jun 2010 14:46 On 11/06/2010 14:58, JSH wrote: > Dude, I don't really read a lot of posts. I mostly skim them. You don't read mathatmatics journals, textbooks or papers _at_all_. > Nuff said. Yup. M -- Mark "No Nickname" Murray Notable nebbish, extreme generalist.
From: dannas on 11 Jun 2010 17:37 "Mark Murray" <w.h.oami(a)example.com> wrote in message news:4c12848b$0$2537$da0feed9(a)news.zen.co.uk... > On 11/06/2010 14:58, JSH wrote: >> Dude, I don't really read a lot of posts. I mostly skim them. > > You don't read mathatmatics journals, textbooks or papers _at_all_. > >> Nuff said. > > Yup. > > M > -- > Mark "No Nickname" Murray > Notable nebbish, extreme generalist. JSH can skim the wiki too. But I think JSH skims himself as well. That would explain quite a bit.
From: Ostap Bender on 12 Jun 2010 01:41 On Jun 10, 11:18 pm, Tim Little <t...(a)little-possums.net> wrote: > On 2010-06-11, JSH <jst...(a)gmail.com> wrote: > > > To you maybe, but does it exit in a way that indicates randomness in > > the pi sequence, or not? > > > For instance you could do a series of low values for k, and see if it > > exited with 1/N probability or less, or more. > > It is already well known that the first few billion digits of pi pass > essentially all known statistical tests of uniform randomness. Has this been tested base 10 only, or are the digits of pi uniformly random for other bases?
From: Tim Little on 16 Jun 2010 07:25
On 2010-06-12, Ostap Bender <ostap_bender_1900(a)hotmail.com> wrote: > On Jun 10, 11:18 pm, Tim Little <t...(a)little-possums.net> wrote: >> It is already well known that the first few billion digits of pi pass >> essentially all known statistical tests of uniform randomness. > > Has this been tested base 10 only, or are the digits of pi uniformly > random for other bases? At least bases 2, 3 and 10 have been tested to a few billion digits. I have also seen bases 16 (hexadecimal), 27 (encoding English letters plus space), and 256 (bytes) but those follow from the analysis of bases 2 and 3 respectively. I have a vague memory of an article reporting on arbitrary bases up to a thousand or something (but with only a few million digits), but can't seem to find it anymore. - Tim |