On Thu, Jan 15, 2009 at 4:49 PM, Robert Bradshaw
<[email protected]> wrote:
>
> On Jan 15, 2009, at 4:39 PM, William Stein wrote:
>
>> On Thu, Jan 15, 2009 at 4:21 PM, Robert Bradshaw
>> <[email protected]> wrote:
>>>
>>> On Jan 15, 2009, at 4:10 PM, [email protected] wrote:
>>>
>>>> That's interesting because I calculated M37 = 2^3021377-1 (909526
>>>> digits) on a 2.6 GHz pentium 4 using my own C++ class to represent
>>>> large ints and it about 2 hours.
>>>>
>>>> I calculated the same thing on www.sagenb.org and it took about 6
>>>> minutes!
>>>
>>> Yeah, sagenb.org can get pretty loaded down some times.
>>
>> He was saying that "6 minutes" was very very fast, not slow.
>
> I was comparing it to what times I would have expected to see based
> on my local timings. The online notebook sometimes felt sluggish to
> me, but I do almost everything locally so it's not a fair comparison
> (and I only occasionally use it, probably less than a dozen times
> since we moved it off the old hardware).
>
>> [[his
>> timing turns
>> out to really have been of printing out the answer via the notebook.
>> better would be to do
>> sage: time s =  2^3021377-1
>> CPU time: 0.00 s,  Wall time: 0.00 s
>> sage: time open('output.txt','w').write(str(s))
>> CPU time: 0.70 s,  Wall time: 0.70 s
>>
>> which gives a link to a file that you can download that contains
>> the answer.]]
>
> Yep, that was my diagnosis of the 6 minutes too. Or perhaps as
> mentioned it was a different Mersenne prime that we're talking about,

It wasn't.  2^3021377-1 is the third largest known and the next two larger are
only slightly bigger.

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