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[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. |
[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? |
[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. |
12850412*3^287506-1 is prime
Pretty certain this is my biggest non-base 2 prime so far. |
[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: |
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=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: |
[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 |
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. |
ks 10M-20M are all at 425k continuing
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Taking 2000M to 2050M.
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