20190506, 20:02  #1 
"Luke Richards"
Jan 2018
Birmingham, UK
2^{5}×3^{2} Posts 
Reservations for b^(k*2^n); b = 3, k<750
The following exponents have been sieved up to 4.5e10 and the rate at which they were being eliminated by newpgen was exceeding the time it would take to run PRP tests on them.
While I'm not necessarily expecting anyone to take an interest in my little fancy here, if anyone is at all interested in helping out, let me know here. Code:
PRP=1,3,14319616,2 lukerichards PRP=1,3,14450688,2 lukerichards PRP=1,3,15138816,2 lukerichards PRP=1,3,15302656,2 lukerichards PRP=1,3,15433728,2 lukerichards PRP=1,3,15597568,2 PRP=1,3,15728640,2 PRP=1,3,16089088,2 PRP=1,3,16187392,2 PRP=1,3,16580608,2 PRP=1,3,16613376,2 PRP=1,3,17694720,2 PRP=1,3,17891328,2 PRP=1,3,18055168,2 PRP=1,3,18382848,2 PRP=1,3,18448384,2 PRP=1,3,18677760,2 PRP=1,3,18743296,2 PRP=1,3,19136512,2 PRP=1,3,19169280,2 PRP=1,3,19529728,2 Last fiddled with by lukerichards on 20190506 at 20:36 
20190506, 20:05  #2 
"Mark"
Apr 2003
Between here and the
6188_{10} Posts 
How are you sieving these with newpgen?

20190506, 20:09  #3 
"Luke Richards"
Jan 2018
Birmingham, UK
2^{5}·3^{2} Posts 
Using the "b^nk with k fixed" option...
Or is that not what you meant? 
20190507, 09:14  #4 
Just call me Henry
"David"
Sep 2007
Cambridge (GMT/BST)
5×19×61 Posts 
How are you filtering for k<750?

20190507, 10:49  #5 
"Luke Richards"
Jan 2018
Birmingham, UK
2^{5}·3^{2} Posts 

20190507, 15:02  #6  
"Luke Richards"
Jan 2018
Birmingham, UK
2^{5}×3^{2} Posts 
Quote:


20190507, 17:16  #7 
"Mark"
Apr 2003
Between here and the
2^{2}×7×13×17 Posts 

20190507, 18:09  #8 
"Luke Richards"
Jan 2018
Birmingham, UK
2^{5}·3^{2} Posts 

20190509, 13:41  #9  
"Luke Richards"
Jan 2018
Birmingham, UK
100100000_{2} Posts 
Thanks to @rogue's advice, I've switched to back to sieving these exponents using srsieve is a LOT quicker and I've managed to whittle out some more.
Quote:


20190511, 07:17  #10  
"Luke Richards"
Jan 2018
Birmingham, UK
288_{10} Posts 
Quote:


20190511, 17:42  #11 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
22060_{8} Posts 
3^143196162 has a factor: 1453368916665503 (ECM curve 1, B1=1000, B2=100000)
3^144506882 has a factor: 1223246458271 (ECM curve 1, B1=1000, B2=100000) 
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