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-   -   Report top-5000 primes for k=1003-3000 (https://www.mersenneforum.org/showthread.php?t=11246)

gd_barnes 2009-01-19 14:27

1663*2^356015-1 is prime

AMDave 2009-01-19 14:57

[QUOTE=gd_barnes;159336]Where'd all the NEW primes go?[/QUOTE]

Hundreds of them:
[url]http://stats.ironbits.net/statsnew/prime_list.php?a=reset[/url]
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=AMDave;159368]Hundreds of them:
[URL]http://stats.ironbits.net/statsnew/prime_list.php?a=reset[/URL]
updated every hour - it will drive the mailer[/quote]


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

:smile:


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! :smile:


Gary

Flatlander 2009-01-20 21:45

[quote=gd_barnes;159578]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! :smile:


Gary[/quote]
There's [I]very strange[/I] and then there's [I]really weird[/I].
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
[/code]

[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. :smile:


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).


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