How to get decimal form of largest known prime?
tim.peters at gmail.com
Tue Jun 15 05:36:06 CEST 2004
[David M. Cooke]
> Interesting, because with gmpy (on a 32-bit AMD64 machine running Linux):
> >>> import gmpy
> >>> x = gmpy.mpz(2)**24036583-1
> is almost instantaneous, whereas the straight Python takes a second.
The version of GMP in use is doubtless the reason. I suspect the
precompiled GMP that ships with mxNumber is getting long in the tooth.
> But then with gmpy I get
> >>> print x
> Segmentation fault
> so I can't win here :-)
That's OK, you don't lose, either <wink>. Under mxNumber, I tried
stuffing the big prime into a Rational, then displaying it with the
Rational.format(base) method (which some GMP msgs suggested used a
faster base-conversion algorithm for huge numbers), and used
base=1000. That segfaulted on Windows.
In return for Python's comparative sloth at times, I think I can count
the number of crashes pinned on its bigint implementation over the
last decade on 0 fingers, and the number of bugs on one hand. It's
one of purest demonstrations of the love affair between simplicity and
reliability I've seen in industrial life.
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