[Oh, this is my first post to this list. Hope you'll see it correctly.]
At 18:42 1999-07-11 -0500, Ken Kriesel wrote:
>The latest mersenne exponent is added below.
>
>position p in p # of bit p in hex p mod 4
>in list base 10 in base 2 1's places
> 5 13 1101 3 4 D 3
Uhm, isn't 13 mod 4 = 1?
>total 263 471 # 1's=21
> # 3's=16
...but that only betters the statistics to 59.5% 1's vs. 40.5% 3's.
Interesting. (It's a pity we don't have a larger basis[?] though...) Just
to make sure this irregularity isn't the case for all primes, I checked all
primes above 2 and less than 10000000 for mod 4 and, not surprisingly, they
are almost evenly distributed, (332180 1's and 332398 3's.)
Sorry if this has been discussed before, or if it is common knowledge, or
whatever.
Regards,
Johan Winge
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