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-   -   Riesel base 3 reservations/statuses/primes (https://www.mersenneforum.org/showthread.php?t=11151)

henryzz 2011-11-02 23:18

[QUOTE=henryzz;273002]Thanks. I will start testing in a week or 2 when my other base 3 reservation is finished.[/QUOTE]
[code][2011-10-10 16:23:50 GMT] 10886318*3^240181-1: Prime returned by david1@mdds.me.uk using pfgw.exe (Prover: pfgw.exe)!
[2011-10-12 17:47:38 GMT] 11005406*3^234173-1: Prime returned by david1@mdds.me.uk using pfgw.exe (Prover: pfgw.exe)!
[2011-10-12 18:56:53 GMT] 11543008*3^114992-1: Prime returned by david1@mdds.me.uk using pfgw.exe (Prover: pfgw.exe)!
[2011-10-12 20:11:51 GMT] 11926424*3^119299-1: Prime returned by david1@mdds.me.uk using pfgw.exe (Prover: pfgw.exe)!
[2011-10-12 21:25:48 GMT] 12518444*3^111100-1: Prime returned by david1@mdds.me.uk using pfgw.exe (Prover: pfgw.exe)!
[2011-10-27 10:31:52 GMT] 14523304*3^249532-1: Prime returned by david1@mdds.me.uk using pfgw.exe (Prover: pfgw.exe)!
[2011-10-27 14:07:09 GMT] 16571998*3^151721-1: Prime returned by david1@mdds.me.uk using pfgw.exe (Prover: pfgw.exe)!
[2011-10-31 08:45:16 GMT] 18232358*3^155836-1: Prime returned by david1@mdds.me.uk using pfgw.exe (Prover: pfgw.exe)!
[2011-11-01 16:44:05 GMT] 19379356*3^123081-1: Prime returned by david1@mdds.me.uk using pfgw.exe (Prover: pfgw.exe)!
[2011-11-02 06:17:26 GMT] 19885204*3^207385-1: Prime returned by david1@mdds.me.uk using pfgw.exe (Prover: pfgw.exe)![/code]
k=10M-20M is tested to 250k. Commencing sieving optimal for 500k.

gd_barnes 2011-11-02 23:36

[QUOTE=henryzz;276894]
k=10M-20M is tested to 250k. Commencing sieving optimal for 500k.[/QUOTE]

OK, thanks.

You last reported in an Email that k=4M-10M was at n=480K and that you were searching it to n=500K. Did you finish that range?

henryzz 2011-11-03 07:14

[QUOTE=gd_barnes;276898]OK, thanks.

You last reported in an Email that k=4M-10M was at n=480K and that you were searching it to n=500K. Did you finish that range?[/QUOTE]
Yes I did. I thought I had sent the results. I will gather together some results files for you and email them.
edit: Sent.

henryzz 2011-11-27 22:48

12850412*3^287506-1 is prime

Pretty certain this is my biggest non-base 2 prime so far.

paleseptember 2011-11-28 00:09

[QUOTE=henryzz;280145]12850412*3^287506-1 is prime

Pretty certain this is my biggest non-base 2 prime so far.[/QUOTE]

Congratulations! :toot::toot:

henryzz 2011-12-08 10:25

Didn't take me long to beat it.
14028218*3^342326-1 is prime
k=10-15M is tested to 350k
k=15-20M is tested to 300k

henryzz 2012-02-11 14:50

[QUOTE=henryzz;281494]Didn't take me long to beat it.
14028218*3^342326-1 is prime
k=10-15M is tested to 350k
k=15-20M is tested to 300k[/QUOTE]
10766804*3^408240-1 is prime
k=10-15M is tested to 425k
k=16874152 is tested to 412k
k=17-20M are still at 300k
Based on 5-10M I should expect 1.67 more primes from this range. Of course this range is larger than k=5-10M so that doesn't mean much:smile:

henryzz 2012-02-13 15:35

[QUOTE=henryzz;289042]10766804*3^408240-1 is prime
k=10-15M is tested to 425k
k=16874152 is tested to 412k
k=17-20M are still at 300k
Based on 5-10M I should expect 1.67 more primes from this range. Of course this range is larger than k=5-10M so that doesn't mean much:smile:[/QUOTE]
17791294*3^325700-1 is prime
k=16874152 is tested to 425k

henryzz 2012-05-05 23:10

Just been applying some probability to my base 3 work.
From 250k-500k, 12ks remaining at 250k and 48389 candidates sieved to 6T. The columns marked crus include stopping the search after a prime has been found for a k. This calculation relies on the ks all having the same weight but that shouldn't make too much difference.
[CODE]n n primes at least n primes n primes crus at least n primes crus
0 0.212% 100% 0.212% 100%
1 1.307% 99.788% 1.707% 99.788%
2 4.021% 98.481% 6.292% 98.081%
3 8.251% 94.460% 14.056% 91.788%
4 12.696% 86.209% 21.195% 77.732%
5 15.629% 73.512% 22.726% 56.538%
6 16.032% 57.884% 17.768% 33.812%
7 14.096% 41.852% 10.206% 16.044%
8 10.844% 27.756% 4.275% 5.837%
9 7.415% 16.912% 1.273% 1.562%
10 4.564% 9.497% 0.256% 0.289%
11 2.553% 4.933% 0.031% 0.033%
12 1.309% 2.380% 0.002% 0.002%[/CODE]I found it surprising how different the probabilities are when crus style searching is included. Also another thing worth looking at is the cumulative probabilities. For the non-crus values 6 is the most likely outcome but we often overlook that there is 41% chance of there being more that 6 primes. I am pretty certain that if at least 6 primes is reached then there is 73% chance of there being more than 6 primes.
This functionally should reach the odds of prime spreadsheet in the near future.

Returning back to this search I have 4 primes so far and the most likely outcome is 5 primes using crus style searching rather that the 6 primes the standard method suggests so I expect 1 more prime. The expected number of primes is 4.815 with crus style searching and 6.155 with standard searching.

henryzz 2012-05-26 15:08

ks 10M-20M are all at 425k continuing

VBCurtis 2012-05-28 07:29

Taking 2000M to 2050M.


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