Report top-5000 primes for k=1003-3000 - Page 3

gd_barnes · 2009-01-19, 14:27

1663*2^356015-1 is prime

AMDave · 2009-01-19, 14:57

Quote:

Originally Posted by gd_barnes

Where'd all the NEW primes go?

Hundreds of them:
http://stats.ironbits.net/statsnew/p...st.php?a=reset
updated every hour - it will drive the mailer

IronBits · 2009-01-19, 20:19

1577*2^356616-1 is prime!
confirmed

Flatlander · 2009-01-20, 00:12

1671*2^357110-1 is prime.

gd_barnes · 2009-01-20, 00:13

Quote:

Originally Posted by AMDave

Hundreds of them:
http://stats.ironbits.net/statsnew/p...st.php?a=reset
updated every hour - it will drive the mailer

I meant new, as in reportable top-5000 primes, on the 8th drive.

I assume that the mailer knows not to send Emails on port 9000.

Thanks,
Gary

gd_barnes · 2009-01-20, 00:16

1517*2^356384-1 is confirmed prime
1617*2^356462-1 is prime
1487*2^356506-1 is confirmed prime
1623*2^356936-1 is prime

Very odd: Where'd all the k=1700-2000 primes go on the 8th drive? On the entire drive, we've had a total of 2 new primes and 1 confirmed prime for that range. For k=1400-1700, we've had multitudes of them.

Gary

gd_barnes · 2009-01-20, 17:47

1403*2^359146-1 is confirmed prime
1609*2^359209-1 is prime

I think k=1700-2000 is a nearly barren range! For n=350K to the current processing limit, we have:

23 total primes for k=1400-1700

3 total primes for k=1700-2000

This includes confirmed primes so is not biased by previous searching in any way.

As Chris is fond of me saying: Primes are very strange!

Gary

Flatlander · 2009-01-20, 21:45

Quote:

Originally Posted by gd_barnes

1403*2^359146-1 is confirmed prime
1609*2^359209-1 is prime

I think k=1700-2000 is a nearly barren range! For n=350K to the current processing limit, we have:

23 total primes for k=1400-1700

3 total primes for k=1700-2000

This includes confirmed primes so is not biased by previous searching in any way.

As Chris is fond of me saying: Primes are very strange!

Gary

There's very strange and then there's really weird.
This sort of thing used to drive me nuts when I would do (semi)fixed n tests. Five primes for one n, then none for the next etc.

gd_barnes · 2009-01-21, 02:52

1785*2^359725-1 is confirmed prime

We've completed n=350K-360K minus some stragglers. The unofficial final count is:

k=1400-1700 23 primes
k=1700-2000 4 primes

gd_barnes · 2009-01-21, 08:01

1625*2^361306-1 is prime

This is getting stranger by the minute: Now, in addition to the previous ridiculous ratio of k=1400-1700 vs. 1700-2000 primes, we have an unbelievable 9 CONSECUTIVE NEW primes for k=1600-1700!!

Although this is a little biased towards the k=1600-1700 and 1800-2000 ranges that have had little searching done on them...9 consecutive in a k=100 range? Come on, what's going on here? Where are the k=1800-2000 primes as well as others from many k's that haven't been searched for k=1400-1600 & 1700-1800?

Counting all primes to remove any bias from ones previously found, since n=350K, we now have:

Code:

k-value   # primes
1400-1500    6
1500-1600    6
1600-1700   12
1700-1800    2
1800-1900    0
1900-2000    2

[There is a k=1800-1900 already-known prime in Ian's reserved manual range so finally the barren stretch there will be broken.]

Not only are primes strange, they can be downright bizarre!

It's things like this that lead one to conclude that primes are not random and is a large part of the reason that we search huge ranges of k and n all at once...to ultimately help decipher the "code" of primes.

Gary

Mini-Geek · 2009-01-21, 12:43

What's the average weight (or combined weight or something) of the k's in 1600-1700 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).

2009-01-20, 00:16	#28
gd_barnes May 2007 Kansas; USA 2×5,171 Posts	15172^356384-1 is confirmed prime 16172^356462-1 is prime 14872^356506-1 is confirmed prime 16232^356936-1 is prime Very odd: Where'd all the k=1700-2000 primes go on the 8th drive? On the entire drive, we've had a total of 2 new primes and 1 confirmed prime for that range. For k=1400-1700, we've had multitudes of them. Gary Last fiddled with by gd_barnes on 2009-01-20 at 00:17

2009-01-21, 08:01	#32
gd_barnes May 2007 Kansas; USA 2×5,171 Posts	16252^361306-1 is prime This is getting stranger by the minute: Now, in addition to the previous ridiculous ratio of k=1400-1700 vs. 1700-2000 primes, we have an unbelievable 9 CONSECUTIVE NEW primes for k=1600-1700!! Although this is a little biased towards the k=1600-1700 and 1800-2000 ranges that have had little searching done on them...9 consecutive in a k=100 range? Come on, what's going on here? Where are the k=1800-2000 primes as well as others from many k's that haven't been searched for k=1400-1600 & 1700-1800? Counting all primes to remove any bias from ones previously found, since n=350K, we now have: Code: k-value # primes 1400-1500 6 1500-1600 6 1600-1700 12 1700-1800 2 1800-1900 0 1900-2000 2 [There is a k=1800-1900 already-known prime in Ian's reserved manual range so finally the barren stretch there will be broken.] Not only are primes strange, they can be downright bizarre! It's things like this that lead one to conclude that primes are not random and is a large part of the reason that we search huge ranges of k and n all at once...to ultimately help decipher the "code" of primes. Gary Last fiddled with by gd_barnes on 2009-01-21 at 08:06*

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
Report top-5000 primes here	gd_barnes	Conjectures 'R Us	919	2021-04-03 14:12
Report top-5000 primes for all k<=1001	gd_barnes	No Prime Left Behind	1499	2021-03-30 22:04
All top 5000 primes will have the same number of digits in 2014 ;-)	Batalov	Conjectures 'R Us	10	2013-03-29 01:29
Misc. reserves/statuses/primes for k>2000 & k=1003	gd_barnes	No Prime Left Behind	113	2009-07-30 22:32
Twenty Oldest Primes on Top 5000 List	masser	Lounge	9	2008-08-27 12:31

2009-01-19, 14:27	#23
gd_barnes May 2007 Kansas; USA 2×5,171 Posts	1663*2^356015-1 is prime

2009-01-19, 20:19	#25
IronBits I ♥ BOINC! Oct 2002 Glendale, AZ. (USA) 3×7×53 Posts	1577*2^356616-1 is prime! confirmed

2009-01-20, 00:12	#26
Flatlander I quite division it "Chris" Feb 2005 England 31×67 Posts	1671*2^357110-1 is prime.

2009-01-20, 17:47	#29
gd_barnes May 2007 Kansas; USA 2×5,171 Posts	14032^359146-1 is confirmed prime 16092^359209-1 is prime I think k=1700-2000 is a nearly barren range! For n=350K to the current processing limit, we have: 23 total primes for k=1400-1700 3 total primes for k=1700-2000 This includes confirmed primes so is not biased by previous searching in any way. As Chris is fond of me saying: Primes are very strange! Gary

2009-01-21, 02:52	#31
gd_barnes May 2007 Kansas; USA 10100001100110₂ Posts	1785*2^359725-1 is confirmed prime We've completed n=350K-360K minus some stragglers. The unofficial final count is: k=1400-1700 23 primes k=1700-2000 4 primes

2009-01-21, 12:43	#33
Mini-Geek Account Deleted "Tim Sorbera" Aug 2006 San Antonio, TX USA 17·251 Posts	What's the average weight (or combined weight or something) of the k's in 1600-1700 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).