Top5000 cutoff is >1 million bits, starting today (now 1.29M))
Sure thing. I emailed C.C. (and added a comment to the prime, too).
I put the asterisk in my morning message, but forgot to post the footnote. It is this: _______________________ *Note that the Top5000 [URL="http://primes.utm.edu/primes/page.php?rank=5000"]cutoff plane[/URL] will pass exactly 1,000,000 bits today or tomorrow. For the record, right now it is still at 999,400 bits' size, but the 1,290,000bits abominable primes keep on pouring in. Mark my words :paul: Next state of the Top5000 database will be that [B][I]all[/I][/B] primes from position ~1,500 to 5,000 will be ~1,290,000 bits. 
[QUOTE=Batalov;349814]
*Note that the Top5000 [URL="http://primes.utm.edu/primes/page.php?rank=5000"]cutoff plane[/URL] will pass exactly 1,000,000 bits today or tomorrow. For the record, right now it is still at 999,400 bits' size, but the 1,290,000bits abominable primes keep on pouring in. Mark my words :paul: Next state of the Top5000 database will be that [B][I]all[/I][/B] primes from position ~1,500 to 5,000 will be ~1,290,000 bits.[/QUOTE] Interesting. Here's a quick history of the top 5000 list: [url]http://tech.groups.yahoo.com/group/primeform/message/8692[/url] [code] Digits Date Time to next 10,000 50000 Jun 22, 2004 13.1 months 60000 Jul 26, 2005 10.1 months 70000 May 30, 2006 8.3 months 80000 Feb 09, 2007 3.1 months 90000 May 13, 2007 1.5 months 100000 Jun 29, 2007 6.7 months (average) 150000 Apr 18, 2010 2.4 months (average) 200000 Apr 14, 2011 3.2 months (average) 250000 Aug 09, 2012 2.4 months (average) 300000 Aug 11, 2013 ??? From 50K100K digits, the average time to increase 10K digits was 7.2 months. [/code] Here's a snapshot of each year: [code] Date Digits of top 5000th prime Digits to next year 112001 17261 7477 112002 24738 5333 112003 30071 10628 112004 40699 12908 112005 53607 10269 112006 63876 13881 112007 77757 22597 112008 100354 4917 112009 105271 38021 112010 143292 36415 112011 179707 26819 112012 206526 62354 112013 268880 >32120 112014 >301000 ??? [/code] 
Regarding the Top5000 cutoff or the "water line" it's now right on 1M bits:
[CODE] 4998 1089927*2^1000000+1 301037 p197 2006 4999 1064099*2^999999+1 301036 g412 2012 [B] 5000 32883*2^1000004+1 301036 p86 2002 [/B] 5001 2043*2^999925+1 301011 L2998 2012 5002 851*2^9998541 300989 L1809 2011 [/CODE] 
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...and here's the snapshot of sizes. Observe the plateau at k*2^12900001 (388290+a few digits); it will grow longer and then will take over the whole end of the list. As a corollary, after it will happen, the apparent rate of the last Top5000 number's size progression ("to the next 10000") will stop for maybe a year.

[QUOTE=Batalov;349947]...and here's the snapshot of sizes. Observe the plateau at k*2^12900001 (388290+a few digits); it will grow longer and then will take over the whole end of the list. As a corollary, after it will happen, the apparent rate of the last Top5000 number's size progression ("to the next 10000") will stop for maybe a year.[/QUOTE]
I think the list would be better, if primes with the same number of digits/bits were given the same rank and primes up to a rank of 5000 were stored on the list. 
but but but... 97 is clearly above 11, even if they both have only 2 digits

[QUOTE=firejuggler;349970]but but but... 97 is clearly above 11, even if they both have only 2 digits[/QUOTE]
maybe they can be 40a 40b so we have more primes on the list. 
IMO, that's a good idea! n=1290k will then take less than 10 slots.
But I doubt C.C. will conisider it. [QUOTE=Citrix;349969]I think the list would be better, if primes with the same number of digits/bits were given the same rank and primes up to a rank of 5000 were stored on the list.[/QUOTE] 
[QUOTE=Batalov;349947]...and here's the snapshot of sizes. Observe the plateau at k*2^12900001 (388290+a few digits); it will grow longer and then will take over the whole end of the list. As a corollary, after it will happen, the apparent rate of the last Top5000 number's size progression ("to the next 10000") will stop for maybe a year.[/QUOTE]
Today will be the day when the halftwins took over the bottom ~1/e of the Top 5000. Primes in positions 31885000 will now most likely simply squeeze smaller k's replacing with slightly larger, keeping the plateau almost unchanged. 
[QUOTE=Batalov;410162]Today will be the day when the halftwins took over the bottom ~1/e of the Top 5000.
Primes in positions 31885000 will now most likely simply squeeze smaller k's replacing with slightly larger, keeping the plateau almost unchanged.[/QUOTE] It will pass few weekends more before "your wish come true" :smile: [QUOTE]To make the top 5000 [I]today[/I] a prime must have 388339 digits[/QUOTE] 
[QUOTE=pepi37;410604]It will pass few weekends more before "your wish come true" :smile:[/QUOTE]
Huh? What are you talking about? The 5000th prime is from the primegrid effort, as Batalov states. 
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