[quote=MiniGeek;159706]What's the average weight (or combined weight or something) of the k's in 16001700 vs the other k=100 ranges? Also, I'd bet that if somebody worked the math out, this is bound to happen some time or another, just like GIMPS's two primes two weeks apart, which seems impossibly unlikely, but it worked out to be a decent probability over as much time as GIMPS has been around and assuming 1 prime/year (which they shouldn't 'expect', by prime heuristics, but they seem to be in a dense area of Mersennes).[/quote]
I'm not sure of the avg. weight but it'd be a relatively quick excercise to do it by looking at Rieselprime.org. For 50 k's in each 100k range, I doubt the average is much different than any other 100k range. Even if it was, it wouldn't explain such a deviation. If you want and have time, feel free to post your findings here. You think exactly like I do. I know what are random events seem like nonrandom because there are so many multidues of possibilities for those events. People frequently associate such random events with miracles, mystic happenings, etc., which is completely bogus. This is likely just one of those "random" fluctuations from the mean as though you got 7580 heads when flipping a random coin 100 times. If you did 1 million tests of 100 coin flips, you'll most likely get 7580 heads at some point. It'd be easy enough to do the math to figure the odds of this happening but I don't have time right now. For all I know, it could take 1 billion such tests on average. In the prime number world though, I don't think we have clear proof yet that these things are completely random yet so when apparently nonrandom "clumpings" occur, it makes even the most logical amongst us wonder a little bit. From my 21month experience in prime searching, I believe this is the most unusual clumping that I have seen. But since I've had 21 months to witness such a thing, it's probably random. (lol) Edit: I just noticed that Chris found a new prime on port 8000 and guess what: It's k=16001700...that's TEN consecutive new primes in that range. Now I can say that primes are very VERY strange. Gary 
[quote=gd_barnes;159711]...
Edit: I just noticed that Chris found a new prime on port 8000 and guess what: It's k=16001700...that's TEN consecutive new primes in that range. Now I can say that primes are very VERY strange. Gary[/quote] 1697*2^3615661 1629*2^3621811 are prime! :smile: Try to keep up Gary! lol 
Funny Chris: I just saw your 2nd new prime come up with my confirmed one:
1475*2^3621761 is confirmed prime With Chris's two finds here, we can now make that 11 consecutive new primes found for k=16001700. This has become so outlandishly bizzare that I went and checked the k/n pairs that are being handed out in David's server: Plenty of k=18002000 candidates in there. With little searching having been previously done in that area, I'm dumbfounded. The count now stands: [code] kvalue # primes 14001500 7 15001600 6 16001700 14 17001800 2 18001900 0 19002000 2 [/code] It's now 274 in favor of k=14001700. Gary 
I just received a second email for [FONT=Verdana]1697*2^3615661
I tried to enter it in top5000! [/FONT] 
[quote=Flatlander;159731]I just received a second email for [FONT=Verdana]1697*2^3615661[/FONT]
[FONT=Verdana]I tried to enter it in top5000![/FONT] [/quote] What? The prime that you just submitted a couple of hours ago doesn't look familiar to you? lol In the mean time, can anyone say 12 in a row new primes for k=16001700?: 1689*2^3623881 is prime If this continues for another couple of primes, I'm going to do some serious investigation on # of k/n pairs/avg. weight/what k's have already been searched/etc. I may have been in primesearching for only 21 months, but this is not something that should happen once in 21 months...more like once in 21 years! I'm quite confident that k=18001900 & 19002000 have been searched no more than k=16001700 so if you allow the 1st prime in the streak to be any one of the 3, then the chances on any 12prime sequence coming up 12 in a row in one of the 3 are 1 in 3^11 = 177147. What that means is that I would have had to have witnessed or been involved in the searching of 177147 top5000 primes by now. In 21 years, sure, but not 21 months. In nontop5000 primes, sure, but not top5000 primes. Go figure! Gary 
Can I reserve k=16001700, n = 365,000400,000? :grin:

[quote=Flatlander;159731]I just received a second email for [FONT=Verdana]1697*2^3615661
I tried to enter it in top5000! [/FONT][/quote] My BAD. I didn't see it in my Sent Items, so wanted to make sure you got a notice. When AMDave gets the autonotify working from the database, you all will receive duplicate notices until we are sure it's solid, then I'll stop my vbscript autonotify routine, and yet another windows script goes byebye :smile: 
How about 13 in a row?:
1661*2^3628781 is prime Also: 1783*2^3626471 is confirmed prime 1557*2^3627691 is confirmed prime 
The k=16001700 new prime streak finally ends at 13:
1955*2^3641561 is prime 
1493*2^3643481 is confirmed prime
1587*2^3645201 is confirmed prime 
I'll gladly slay this highpriorknown prime area before we start the rally:
1483*2^3650271 is confirmed prime 
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