20100901, 16:57  #2 
"Oliver"
Mar 2005
Germany
1111_{10} Posts 
*hmm* it shows "Tue, 19th January 2038" to me!

20100901, 17:00  #3 
Nov 2008
2·3^{3}·43 Posts 

20100901, 20:38  #4 
Sep 2006
Brussels, Belgium
11·151 Posts 
And has been discussed previously on the forum.
Jacob Last fiddled with by S485122 on 20100901 at 20:39 Reason: Finding where is left as an exercise to the curious reader. 
20100901, 21:49  #5 
Sep 2010
Annapolis, MD, USA
3^{3}×7 Posts 
It's a preemptive celebration of my 55th birthday, no doubt. (No, it's the date that time_t rolls over, I think...)
And now to take the thread wildly offtopic! I wasn't kidding, that day really will be my 55th birthday. My birthday actually is 19830119... a prime number. M19830119 is composite, and we seem to have at least one factor for it. Is there a decent/reasonable way for me to finish factoring M19830119? I suppose there is no value in the complete factorization other than a personal curiosity, but it might be "neat" to have my birthday Mersenne fully factored. ;) 
20100902, 06:40  #6 
Nov 2008
2322_{10} Posts 
No. Even if you do find another factor, the cofactor will almost certainly be composite. And if it were prime, we would have no way of proving it within the lifetime of the universe with current algorithms and hardware because it would not be a Mersenne (and thus it would not be LLtestable).
Last fiddled with by 10metreh on 20100902 at 06:40 
20100902, 08:24  #7 
"William"
May 2003
New Haven
3×787 Posts 
It's not very likely you can fully factor it and, as 10metreh points out, there is no chance of proving the primality of the ultimate factor. If you got very lucky you might fully factor the number with a probableprime test on the ultimate factor. But if you work out just how lucky you would have to be, you will probably be dissuaded from trying. You have to be lucky enough that the second largest factor is within range of Trial Factoring, P1, and ECM. Look up the 2parameter Dickman Function to figure out how lucky that is.

20100902, 08:36  #8  
Bamboozled!
"πΊππ·π·π"
May 2003
Down not across
10652_{10} Posts 
Quote:
The expected chance of this happening is in the range 0 < probability <= utterly insignificant. Paul 

20100902, 08:40  #9  
"Nathan"
Jul 2008
Maryland, USA
45B_{16} Posts 
Fun with birthdays and GIMPS assignments
Quote:
Another idea, depending on your horsepower: take the entire 119M range one bit deeper in TF. 

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