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 [i]is[/i] 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
[/code]

How are you sieving these with newpgen?

Using the "b^n-k with k fixed" option...

Or is that not what you meant?

How are you filtering for k<750?

[QUOTE=henryzz;515998]How are you filtering for k<750?[/QUOTE]

With a little python script that whittles them out.

[QUOTE=lukerichards;515958]

[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 lukerichards
PRP=1,3,15728640,-2 lukerichards
PRP=1,3,16089088,-2 lukerichards
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
[/code][/QUOTE]

Current state of play. Just reserved 3 of these for a laptop I forgot I had.

[QUOTE=lukerichards;515960]Using the "b^n-k with k fixed" option...

Or is that not what you meant?[/QUOTE]

I suggest using srsieve. It will be many times faster than newpgen for this form.

[QUOTE=rogue;516055]I suggest using srsieve. It will be many times faster than newpgen for this form.[/QUOTE]

Trust me to be given two choices and pick the slower of the two. Thanks for the advice.

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=lukerichards;515958]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 [i]is[/i] 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 lukerichards
PRP=1,3,15728640,-2 lukerichards
PRP=1,3,16089088,-2 lukerichards
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
[strike]PRP=1,3,19169280,-2[/strike] = factor found with srsieve
PRP=1,3,19529728,-2
[/code][/QUOTE]

[QUOTE=lukerichards;515958]

[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 lukerichards
PRP=1,3,15728640,-2 lukerichards
PRP=1,3,16089088,-2 lukerichards
[strike]PRP=1,3,16187392,-2[/strike] factor 377032409609 found with srsieve
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
[strike]PRP=1,3,19169280,-2[/strike] = factor found with srsieve
PRP=1,3,19529728,-2
[/code][/QUOTE]

Update

3^14319616-2 has a factor: 1453368916665503 (ECM curve 1, B1=1000, B2=100000)
3^14450688-2 has a factor: 1223246458271 (ECM curve 1, B1=1000, B2=100000)