[QUOTE=Madpoo;385814]M1277 kind of bugs me, being the smallest C with no known factor. Lots of ECM curves run on it though, that's for sure. Wherever that factor is, it'll be interesting if/when it's found. How many digits will there be in that bad boy? I even ran a few curves on it here and there for fun.[/QUOTE]

Well, M1277 itself has 385 digits, and ECM appears to have made a factor with 60 or fewer digits unlikely. On such a large number, one might reasonably want to do ECM up to 85 digits or so before attacking with SNFS, so more ECM definitely makes more sense. Keep running those curves and tell yourself you feel lucky! The next larger Mersenne number without known factors, M1619, seems well beyond current SNFS capability, so ECM and P-1 would be the only possible search methods with any reasonable probability of success. I think those would be interesting statistics to put somewhere on the web-page: currently smallest known Mersenne number not completely factored (M991), and currently smallest known Mersenne number with no known factor (M1277).

[QUOTE=philmoore;385819]Well, M1277 itself has 385 digits, and ECM appears to have made a factor with 60 or fewer digits unlikely. On such a large number, one might reasonably want to do ECM up to 85 digits or so before attacking with SNFS, so more ECM definitely makes more sense. Keep running those curves and tell yourself you feel lucky! The next larger Mersenne number without known factors, M1619, seems well beyond current SNFS capability, so ECM and P-1 would be the only possible search methods with any reasonable probability of success. I think those would be interesting statistics to put somewhere on the web-page: currently smallest known Mersenne number not completely factored (M991), and currently smallest known Mersenne number with no known factor (M1277).[/QUOTE]

Indeed interesting statistics!

Also:

[QUOTE]Countdown to proving M(32582657) is the 44th Mersenne Prime: 16(Estimated completion : 2014-11-14)[/QUOTE]

Not to beat a dead horse but down yet one more! :deadhorse:

I like the expected completion on the milestones page as well!

[QUOTE=philmoore;385819]Well, M1277 itself has 385 digits, and ECM appears to have made a factor with 60 or fewer digits unlikely. On such a large number, one might reasonably want to do ECM up to 85 digits or so before attacking with SNFS, so more ECM definitely makes more sense. Keep running those curves and tell yourself you feel lucky! The next larger Mersenne number without known factors, M1619, seems well beyond current SNFS capability, so ECM and P-1 would be the only possible search methods with any reasonable probability of success. I think those would be interesting statistics to put somewhere on the web-page: currently smallest known Mersenne number not completely factored (M991), and currently smallest known Mersenne number with no known factor (M1277).[/QUOTE]
IIRC, the current record for SNFS is the c355 of 2^1193-1 that was recently factored by Kleinjung et al. Factoring the M1277 (c385) with SNFS might just be possible before the end of this decade. M1619 with 488 digits is an entirely different story.

[QUOTE=Madpoo;385815]
When I first looked, the ETA was February 2015 but someone's machine must have sped up or something got reassigned because it's now "ETA : 2014-11-14" :smile:[/QUOTE]
So my prior guesses of July 4, Oct 31 and Feb 23,2015 have it surrounded. Looks like a sure win for me. Haha

[QUOTE=petrw1;385884]... Oct 31 ...[/QUOTE]So you mean Dec 25? Or Hex 19?

[QUOTE=retina;385885]So you mean Dec 25? Or Hex 19?[/QUOTE]

Hextober 19 sounds like a good day for your birthday. Very evil seeming.

[QUOTE=TheMawn;385893]Hextober 19 sounds like a good day for your birthday. Very evil seeming.[/QUOTE]I wish one of the months had 666 days. Is there a planet that has a 666 day year?

[QUOTE=retina;385902]I wish one of the months had 666 days. Is there a planet that has a 666 day year?[/QUOTE]

I could not find one... the closest is Mars at 687 Earth solar days.

A Google search of 666 day year turns up all sorts of "interesting" results

[QUOTE][url]https://www.google.com/search?q=planet+with+666+day+year&ie=utf-8&oe=utf-8&aq=t&rls=org.mozilla:en-US:official&client=firefox-a&channel=sb[/url][/QUOTE]

[QUOTE=retina;385902]I wish one of the months had 666 days. Is there a planet that has a 666 day year?[/QUOTE]

If we define "month" by the usual definition, I bet there is some bizarre planet-and-moon system with a 666-day month.

Which makes me ponder: How might a "month" be (well) defined on a planet with multiple moons each with their own lunar cycle? What would the calendar look like on Jupiter, for instance? You can easily define a Jovian year and day, but I wonder what intermediate unit of time would be best adopted.

[QUOTE=TheMawn;385893]Hextober 19 sounds like a good day for your birthday. Very evil seeming.[/QUOTE]

If not for Augustus Caesar's ego, August might still be known as "Sextus" which could have easily morphed into "Sextember" which Pope Gregory would have changed to "Hextember" or "Hexember" when he reformed the calendar. Because witchcraft is always preferable to bedroom naughtiness, in the eyes of the Church. Never mind the kinds of things that would go on sale every Sextember!

Now the expected completion date for M44 is November 13th. This seems a very appropriate date, 263 days after the completion of M43. By coincidence, the discovery of M44 was also 263 days after M43.