20180307, 18:54  #452  
Basketry That Evening!
"Bunslow the Bold"
Jun 2011
40<A<43 89<O<88
3·29·83 Posts 
Quote:
Quote:
Code:
In [2]: m_dist = [.014, .028, .138, .244, .235, .157, .088, .060, .023, .009, .005] In [3]: def odds_of_even_3(m): return 3*m/(2**(m+3)) In [8]: def total_odds_even_3(m_dist): ...: from math import fsum ...: return fsum(odds_of_even_3(m)*odds_m for m, odds_m in enumerate(m_dist, 1)) In [9]: total_odds_even_3(m_dist) Out[9]: 0.07214776611328125 Which is not bad, off by (almost exactly) a factor of 3, and half an order of magnitude is about all I could have hoped for going into it. 

20180307, 19:00  #453 
Basketry That Evening!
"Bunslow the Bold"
Jun 2011
40<A<43 89<O<88
1110000110101_{2} Posts 
Actually, now I know for certain that no one read my previous theory post, because it's got some horrifically wrong notation that any middle schooler with algebra should be able to point out.
Specifically, 1/x + 1/y does not equal 1/(x+y). I'm still pretty sure the final result is "correct" (I was doing the right math in my head, even if what I wrote down is godawfully wrong), but the last few expressions before that final result are blasphemy before my algebra teachers. So, sorry.... Last fiddled with by Dubslow on 20180307 at 19:01 
20180307, 19:05  #454 
Dec 2017
3^{2}×7 Posts 
All primes to any power. Note that the vast majority are not to a nonunit power.
Regards Steve 
20180307, 20:08  #455 
Basketry That Evening!
"Bunslow the Bold"
Jun 2011
40<A<43 89<O<88
3×29×83 Posts 

20180327, 00:10  #456 
Sep 2008
Kansas
7·463 Posts 
C192 @ i1685
As a placeholder of work completed, yoyo has finished a full t55 on this number. When interest resurfaces at a later time, I believe only a t60 will be needed before moving to a NFS job.

20200713, 15:59  #457  
Jun 2012
3^{3}×109 Posts 
Quote:
Maybe Ryan will take an interest. 

20200713, 22:01  #458 
"Curtis"
Feb 2005
Riverside, CA
5^{3}×37 Posts 
I'll do some poly select this week; this is a small enough job that I can do the CADO select solo.
I'll wait till Tuesday evening or Wed to get started, in case Ryan reserves the job. If someone else wants to poly select anyway, let me know and I'll post my settings so we don't overlap. 
20201115, 06:32  #459 
"Curtis"
Feb 2005
Riverside, CA
5^{3}×37 Posts 
I guess "this week" is 4 months....
Here's a decent poly for this C192: Code:
n: 602838425516071950702800398634448189069057347958670002131123376237344752203259023839151771860497157053376595595747452480360531573609839995416933600183015816569763112349056289178976881268937221 skew: 50211656.838 c0: 6780686882705080323804282112084738299079240200 c1: 615929651998812237047650279903793109285 c2: 8253751695218375720762112293140 c3: 401219187608510740978769 c4: 6364076358300872 c5: 18567360 Y0: 10536642881491562631501019308286051628 Y1: 38473124062368714520009 # MurphyE (Bf=8.590e+09,Bg=4.295e+09,area=1.342e+16) = 1.683e08 The record for C193 is 1.45e14, while the record for C192 is very good at 1.80e14. This number, with leading digit 6, should be about 5% easier than a C193 and this poly is about 7% better than the C193 record. The search was just over 3 days 20threaded of CADO search; admax 5M, P=4M, incr=420. This would be a fairly quick job on 16e if someone would like to testsieve it; I may do so next month if nobody does it first. Last fiddled with by VBCurtis on 20201115 at 06:33 
20201117, 20:18  #460 
Jun 2012
Boulder, CO
13·19 Posts 

20201117, 22:13  #461 
"Curtis"
Feb 2005
Riverside, CA
5^{3}·37 Posts 
Thanks, Ryan! We appreciate it.

20201118, 19:12  #462 
Jun 2012
Boulder, CO
367_{8} Posts 
Sure! Happy to lend a hand.
Looks like I'll be able to form a matrix with ~500M uniques and target_density=120: Code:
Wed Nov 18 11:37:51 2020 commencing full merge Wed Nov 18 12:06:37 2020 memory use: 7867.1 MB Wed Nov 18 12:06:47 2020 found 31550239 cycles, need 31145219 Wed Nov 18 12:07:04 2020 weight of 31145219 cycles is about 3737920508 (120.02/cycle) Wed Nov 18 12:07:04 2020 distribution of cycle lengths: Wed Nov 18 12:07:04 2020 1 relations: 1469589 Wed Nov 18 12:07:04 2020 2 relations: 2069207 Wed Nov 18 12:07:04 2020 3 relations: 2457009 Wed Nov 18 12:07:04 2020 4 relations: 2541757 Wed Nov 18 12:07:04 2020 5 relations: 2594457 Wed Nov 18 12:07:04 2020 6 relations: 2531814 Wed Nov 18 12:07:04 2020 7 relations: 2440006 Wed Nov 18 12:07:04 2020 8 relations: 2297441 Wed Nov 18 12:07:04 2020 9 relations: 2122314 Wed Nov 18 12:07:04 2020 10+ relations: 10621625 Wed Nov 18 12:07:04 2020 heaviest cycle: 26 relations Wed Nov 18 12:07:20 2020 commencing cycle optimization Wed Nov 18 12:08:53 2020 start with 248541919 relations 
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