20091201, 18:39  #122 
Feb 2003
11110000000_{2} Posts 
I'm very impressed about our "star" 13330...M148!
That's really amazing! Let's see if we could find another (better) one which would hit the 150/100000... Meanwhile I've generated another 531 Sierpinski VPS for E=52...138 (no new M148 yet). You will find them in the attached file. Note, that 8 of them (the y values) have higher E+1 factors and become therefore members of the next higher sequence (indicated in the file). 6 of them are already known. So, strictly speaking, "only" 525 are new VPS. For the moment I will take the following one further: S 732478130807511 106 100/4930 112/10000 All others are open for anybody else... Last fiddled with by Thomas11 on 20091201 at 18:41 
20091201, 19:51  #123 
Just call me Henry
"David"
Sep 2007
Liverpool (GMT/BST)
2^{5}×11×17 Posts 
reserving S 12034494960083 66 100/6932 112/10000 from thomas' latest file to take further
Last fiddled with by henryzz on 20091201 at 19:52 
20091202, 01:08  #124  
Jun 2003
Oxford, UK
2,039 Posts 
Quote:
The most interesting fact in this batch is the large number of E100 and E106 which are 105/10000 and better. Code:
E VPS 105+ 105+/VPS 52 82 7 8.5% 58 88 9 10.2% 60 58 5 8.6% 66 89 3 3.4% 82 71 4 5.6% 100 65 10 15.4% 106 51 5 9.8% 130 23 0 0.0% 138 4 1 25.0% 

20091202, 03:22  #125 
Jun 2003
Oxford, UK
11111110111_{2} Posts 
Not quite, but here are frequencies:
Code:
R+S 52 58 60 66 82 100 106 130 138 148 100 551 103 109 78 96 68 42 34 14 6 1 101 421 76 84 64 92 50 22 19 12 1 1 102 297 38 67 47 66 32 25 13 7 0 2 103 235 40 50 32 45 24 19 15 9 1 0 104 160 25 24 25 48 14 8 7 7 1 1 105 112 18 19 16 21 16 7 9 5 1 0 106 83 12 19 9 23 7 5 4 2 1 1 107 50 7 13 7 10 1 7 3 0 1 1 108 26 7 3 4 1 2 3 5 1 0 0 109 17 1 4 3 5 0 2 1 1 0 0 110 10 0 2 4 2 1 0 1 0 0 0 111 8 1 3 0 0 3 1 0 0 0 0 112 5 0 0 0 2 0 1 1 0 0 1 113 1 0 0 1 0 0 0 0 0 0 0 114 0 0 0 0 0 0 0 0 0 0 0 115 1 0 1 0 0 0 0 0 0 0 0 116 0 0 0 0 0 0 0 0 0 0 0 1977 328 398 290 411 218 142 112 58 12 8 
20091202, 06:05  #126 
Jun 2003
Oxford, UK
2,039 Posts 

20091203, 09:20  #127  
Feb 2003
2^{7}·3·5 Posts 
Quote:
So, if 13330...M148 was going like a train, this one is like a jet airliner! Here are the counts: S 732478130807511 106 100/4930 112/10000 128/20000 135/30000 140/50000 147/60000 Will most probably hit the 150/100000. 

20091203, 11:23  #128  
Jun 2003
Oxford, UK
2,039 Posts 
Quote:
This is a E106 so should do a lot better. Hope it beats these benchmarks. Worth posting the prps for n>10000 so that we can keep the records up to date. Last fiddled with by robert44444uk on 20091203 at 11:24 

20091204, 10:13  #129 
Feb 2003
1920_{10} Posts 
Meanwhile it hit the 150th prime at n=75625. A little bit higher than expected, as there was a huge primeless gap between n=60000 and 70000.
Will continue this k up to at least n=100000... For the statistics, here is the complete list of n for which 732478130807511*M106*2^n+1 is prime (PRP): n=5, 20, 23, 25, 33, 36, 43, 45, 52, 53, 57, 67, 79, 80, 96, 98, 104, 109, 117, 126, 130, 132, 150, 174, 186, 203, 216, 227, 236, 241, 242, 252, 254, 258, 276, 277, 291, 295, 296, 301, 311, 319, 329, 334, 378, 388, 399, 427, 456, 458, 487, 531, 575, 594, 625, 677, 693, 728, 762, 824, 865, 898, 953, 1021, 1099, 1112, 1198, 1210, 1216, 1223, 1385, 1390, 1471, 1591, 1797, 1820, 1902, 1918, 2054, 2111, 2164, 2186, 2360, 2376, 2605, 2707, 2758, 2873, 2942, 3141, 3178, 3298, 3582, 3770, 4276, 4310, 4312, 4363, 4444, 4930, 4981, 5043, 5053, 5062, 5257, 6060, 6129, 6358, 6410, 7049, 7768, 9646, 10043, 10124, 11261, 11312, 11554, 12566, 13548, 14351, 14612, 15240, 15405, 16331, 17182, 17929, 19182, 19883, 21811, 21832, 22591, 24189, 25264, 26600, 26926, 34642, 36366, 36622, 40919, 43437, 51251, 54643, 55911, 56583, 56620, 57966, 59441, 70148, 71777, 75625 (150 PRPs) 
20091208, 04:57  #130 
Jun 2003
Oxford, UK
2,039 Posts 
I now have over 700 new Riesel VPS. This week found 1 at 111, 1 at 109, 2 at 107, 2 at 106 and 1 at 105/10000
Will continue to find all Riesel VPS from E52 to E100 I am wondering if it makes sense to consider only targeting 105 and over by resetting the in.txt file to this higher barrier level. This might speed up the search as prp testing will not take up as much time. I will investigate what the appropriate smith_check parameters for each E level 
20091208, 09:59  #131  
Feb 2003
2^{7}·3·5 Posts 
During the weekend I found only two new PRPs for 73247...M106:
n=105267 and n=107950. So in total there are 152 PRPs now. Note the huge gap between n=75000 and 105000, which is a shame... Quote:
BTW.: I'm currently working on an automated procedure using Phil Carmody's ksieve and PFGW. The goal is to sieve about 4050 candidates in parallel and then pipe them through PFGW. However, since the whole procedure consists of multiple shell and perl scripts, this will be restricted to Linux. 

20091208, 11:53  #132  
Jun 2003
Oxford, UK
2,039 Posts 
Quote:
Quote:


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