Bases 6-32 reservations/statuses/primes

[Siemelink]

Hidiho,

I've found the following primes, they were checked with pfgw:
512222*7^88574-1

34710*25^21811-1
243840*25^21636-1
165390*25^21239-1
271896*25^20955-1
236742*25^20916-1
167808*25^20877-1
80508*25^20720-1
165216*25^20628-1
181206*25^20236-1

the progress for my various reservations is:
base 7: n = 95,000
base 19, k = 366: n = 200,000 and finished
base 25: n = 22,000
base 49: n = 104,000 and continuing until 200,000

enjoying my day, Willem.

[gd_barnes]

Originally Posted by Siemelink

Hidiho,

I've found the following primes, they were checked with pfgw:
512222*7^88574-1

34710*25^21811-1
243840*25^21636-1
165390*25^21239-1
271896*25^20955-1
236742*25^20916-1
167808*25^20877-1
80508*25^20720-1
165216*25^20628-1
181206*25^20236-1

the progress for my various reservations is:
base 7: n = 95,000
base 19, k = 366: n = 200,000 and finished
base 25: n = 22,000
base 49: n = 104,000 and continuing until 200,000

enjoying my day, Willem.

Great progress Willem! Thanks for the update.


Gary

[gd_barnes]

KEP reported in an Email on 9/18 that he had completed Sierp base 19 to n=~14.2K and was continuing. 67 primes were found as shown below. There are now 1398 k's remaining.

Primes:

733236*19^12344+1
40116*19^12346+1
509596*19^12414+1
438616*19^12450+1
546976*19^12456+1
172338*19^12457+1
563316*19^12468+1
584106*19^12504+1
325804*19^12513+1
741564*19^12533+1
215706*19^12590+1
278764*19^12617+1
500926*19^12622+1
164016*19^12628+1
6696*19^12638+1
489160*19^12721+1
254946*19^12746+1
605154*19^12785+1
75034*19^12791+1
512374*19^12805+1
631804*19^12827+1
89176*19^12846+1
652234*19^12865+1
485746*19^12878+1
135972*19^12916+1
517866*19^13006+1
464946*19^13082+1
306666*19^13112+1
82674*19^13157+1
705046*19^13210+1
397444*19^13213+1
595614*19^13215+1
472216*19^13226+1
611536*19^13264+1
712914*19^13287+1
138676*19^13288+1
630016*19^13292+1
149316*19^13390+1
685626*19^13398+1
93934*19^13433+1
115636*19^13466+1
140494*19^13479+1
71356*19^13506+1
658204*19^13595+1
404686*19^13600+1
469734*19^13601+1
324106*19^13622+1
213366*19^13654+1
30616*19^13678+1
348814*19^13719+1
115014*19^13761+1
427146*19^13768+1
252196*19^13784+1
61744*19^13853+1
686214*19^13971+1
378076*19^13988+1
135456*19^13990+1
406306*19^14022+1
101094*19^14029+1
458824*19^14043+1
255706*19^14064+1
423714*19^14099+1
502954*19^14129+1
467926*19^14136+1
514564*19^14141+1
538294*19^14159+1
187596*19^14280+1

Gary

[Cruelty]

I'd like to reserve all remaining base 10 k: 4421, 7019, 8579 from n=195000.
BTW: is there some software that would handle such tests more efficiently than LLR/PRP? I mean under both Windows and Linux :)

[rogue]

Originally Posted by Cruelty

I'd like to reserve all remaining base 10 k: 4421, 7019, 8579 from n=195000.
BTW: is there some software that would handle such tests more efficiently than LLR/PRP? I mean under both Windows and Linux :)

phrot, but you will need Cygwin to run on Wnidows.

[Cruelty]

Originally Posted by rogue

phrot, but you will need Cygwin to run on Wnidows.

OK, right now I am into sieving for several weeks so I will have time to play with phrot... BTW: are there any compiled executables for Core2 architecture?

[rogue]

Originally Posted by Cruelty

OK, right now I am into sieving for several weeks so I will have time to play with phrot... BTW: are there any compiled executables for Core2 architecture?

I have a MacIntel one, but that wouldn't be useful for you. I can help you with building (offline) if you need it. There are some issues with linking to YEAFFT that are a little tricky to work around.

[gd_barnes]

Originally Posted by Cruelty

I'd like to reserve all remaining base 10 k: 4421, 7019, 8579 from n=195000.
BTW: is there some software that would handle such tests more efficiently than LLR/PRP? I mean under both Windows and Linux :)

Cruelty,

Great! That's a base that should be interesting to push higher.

BTW, would you be interested in taking k=7666 on the Sierpinski side also from n=195K? It's the only remaining k and if you find a prime for it, it would prove the conjecture!


Gary

[Cruelty]

Originally Posted by gd_barnes

BTW, would you be interested in taking k=7666 on the Sierpinski side also from n=195K?

Consider it done
BTW: Is it possible to mix both "+" and "-" in one input file for LLR/Phrot? Personally I don't think so, but perhaps I'm wrong?

[Mini-Geek]

Originally Posted by Cruelty

Consider it done
BTW: Is it possible to mix both "+" and "-" in one input file for LLR/Phrot? Personally I don't think so, but perhaps I'm wrong?

Yes, it is possible. From the LLR readme file:

Example:

ABC $a*2^$b$c
599 250001 -1
599 250001 +1

which is
599*2^250001-1
599*2^250001+1

These are the ABC forms accepted by LLR (from the readme file):

Fixed k forms for k*b^n+/-1 : %d*$a^$b+%d, %d*$a^$b-%d, %d*$a^$b$c
Fixed b forms for k*b^n+/-1 : $a*%d^$b+%d, $a*%d^$b-%d, $a*%d^$b$c
Fixed n forms for k*b^n+/-1 : $a*$b^%d+%d, $a*$b^%d-%d, $a*$b^%d$c
Any form of k*b^n+/-1 : $a*$b^$c+%d, $a*$b^$c-%d, $a*$b^$c$d

You can even change bases:

ABC $a*$b^$c$d
599 2 250001 -1
599 4 250001 +1

which is

599*2^250001-1
599*4^250001+1

[rogue]

Originally Posted by Cruelty

Consider it done
BTW: Is it possible to mix both "+" and "-" in one input file for LLR/Phrot? Personally I don't think so, but perhaps I'm wrong?

Yes for both.